%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Petter Erling Bj{\o}rstad",
%%%     version         = "2.18",
%%%     date            = "29 December 2011",
%%%     time            = "07:56:59 MDT",
%%%     filename        = "domain-decomp.bib",
%%%     address         = "Institutt for Informatikk,
%%%                        H{\o}yteknologisenteret
%%%                        Universitetet i Bergen
%%%                        Bergen, Norway N-5020",
%%%     telephone       = "+47-55544171",
%%%     FAX             = "+47-55544199",
%%%     checksum        = "41197 39368 153015 1619315",
%%%     email           = "Petter.Bjorstad at ii.uib.no (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "numerical analysis, parallel computing",
%%%     license         = "public domain",
%%%     supported       = "no",
%%%     docstring       = "This is a bibliography of publications on
%%%                        domain decomposition.
%%%
%%%                        At version 2.00, results from searches of the
%%%                        TeX User Group and BibNet Project
%%%                        bibliography archives, and of the MathSciNet
%%%                        database, were added to the original 238
%%%                        entires from the author's original collection
%%%                        of data from 1890 to 1993.  Based on the
%%%                        MathSciNet search results, the results here
%%%                        cover about 1/5 to 1/3 of those recorded in
%%%                        that database.  Much work therefore remains
%%%                        to be done to expand the coverage, and
%%%                        possibly, tighten the focus, of this
%%%                        subject-specific bibliography.
%%%
%%%                        At version 2.18, the year coverage looked
%%%                        like this:
%%%
%%%                             1890 (   1)    1931 (   0)    1972 (   2)
%%%                             1891 (   0)    1932 (   0)    1973 (   3)
%%%                             1892 (   0)    1933 (   0)    1974 (   1)
%%%                             1893 (   0)    1934 (   1)    1975 (   1)
%%%                             1894 (   0)    1935 (   0)    1976 (   1)
%%%                             1895 (   0)    1936 (   1)    1977 (   0)
%%%                             1896 (   1)    1937 (   0)    1978 (   3)
%%%                             1897 (   0)    1938 (   0)    1979 (   1)
%%%                             1898 (   0)    1939 (   0)    1980 (   3)
%%%                             1899 (   0)    1940 (   0)    1981 (   3)
%%%                             1900 (   0)    1941 (   0)    1982 (   3)
%%%                             1901 (   1)    1942 (   0)    1983 (   7)
%%%                             1902 (   0)    1943 (   0)    1984 (  12)
%%%                             1903 (   0)    1944 (   1)    1985 (  13)
%%%                             1904 (   0)    1945 (   0)    1986 (  22)
%%%                             1905 (   0)    1946 (   0)    1987 (  27)
%%%                             1906 (   0)    1947 (   0)    1988 (  69)
%%%                             1907 (   0)    1948 (   0)    1989 (  96)
%%%                             1908 (   0)    1949 (   0)    1990 (  77)
%%%                             1909 (   0)    1950 (   0)    1991 (  96)
%%%                             1910 (   0)    1951 (   0)    1992 (  95)
%%%                             1911 (   0)    1952 (   0)    1993 (  86)
%%%                             1912 (   0)    1953 (   0)    1994 (  86)
%%%                             1913 (   0)    1954 (   0)    1995 (  78)
%%%                             1914 (   0)    1955 (   0)    1996 (  86)
%%%                             1915 (   0)    1956 (   2)    1997 (  84)
%%%                             1916 (   0)    1957 (   1)    1998 (  75)
%%%                             1917 (   0)    1958 (   1)    1999 (  71)
%%%                             1918 (   0)    1959 (   0)    2000 (  72)
%%%                             1919 (   0)    1960 (   0)    2001 (  70)
%%%                             1920 (   0)    1961 (   0)    2002 (  63)
%%%                             1921 (   0)    1962 (   1)    2003 (  72)
%%%                             1922 (   0)    1963 (   1)    2004 (  60)
%%%                             1923 (   0)    1964 (   0)    2005 (  67)
%%%                             1924 (   0)    1965 (   0)    2006 (  62)
%%%                             1925 (   0)    1966 (   1)    2007 (  64)
%%%                             1926 (   0)    1967 (   1)    2008 (  62)
%%%                             1927 (   0)    1968 (   0)    2009 (  62)
%%%                             1928 (   0)    1969 (   1)    2010 (  38)
%%%                             1930 (   0)    1971 (   1)
%%%                             19xx (   2)
%%%
%%%                             Article:        920
%%%                             Book:            82
%%%                             InBook:           3
%%%                             InCollection:   458
%%%                             InProceedings:  113
%%%                             MastersThesis:    1
%%%                             PhdThesis:       11
%%%                             Proceedings:    151
%%%                             TechReport:      70
%%%                             Unpublished:      2
%%%
%%%                             Total entries: 1811
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{
     ""
   # "\def \Dbar {\leavevmode \lower.6ex \hbox to 0pt{\hskip-.23ex \accent"16\hss}D} "
   # "\def \cdprime {$''$} "
   # "\def \cprime {$'$} "
   # "\def \hckudot #1{\ifmmode \setbox7 \hbox{$\accent"14#1$}\else \setbox7 \hbox{\accent"14#1}\penalty 10000\relax \fi \raise 1\ht7 \hbox{\raise.2ex\hbox to 1\wd7{\hss.\hss}}\penalty 10000 \hskip-1\wd7 \penalty 10000\box7} "
   # "\def\polhk#1{\setbox0=\hbox{#1}{\ooalign{\hidewidth \lower1.5ex\hbox{`}\hidewidth\crcr\unhbox0}}} "
   # "\ifx \undefined \cyr \let \cyr = \rm \fi"
}

%% Other: The keys of this collection should most likely be updated
%%        and standardized. This bibliography has been collected over
%%        time by several scientists, credit is particularly due to
%%        professor Olof Widlund

%%% ====================================================================
%%% Institute abbreviations:

@String{inst-CC-SB-USSR-ACAD-SCI = "Computing Center of the Siberian Branch
                                   of the {USSR} Academy of Sciences"}
@String{inst-CC-SB-USSR-ACAD-SCI:adr = "Novosibirsk, USSR"}

@String{inst-CERFACS            = "CERFACS"}
@String{inst-CERFACS:adr        = "Toulouse, France"}

@String{inst-CS-PURDUE          = "Department of Computer Science, Purdue
                                  University"}
@String{inst-CS-PURDUE:adr      = "West Lafayette, IN 47907-2107, USA"}

@String{inst-MATH-NPS           = "Department of Mathematics, Naval Postgraduate
                                  School"}
@String{inst-MATH-NPS:adr       = "Monterey CA 93943, USA"}

@String{inst-SRC-IDA            = "Supercomputing Research Center: IDA"}
@String{inst-SRC-IDA:adr        = "Lanham, MD, USA"}

@String{inst-UIUC-CSRD          = "University of Illinois at Urbana-Champaign,
                                  Center for Supercomputing Research and
                                  Development"}
@String{inst-UIUC-CSRD:adr      = "Urbana, IL 61801, USA"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-ACTA-MATH             = "Acta Math"}

@String{j-ADV-COMPUT-MATH       = "Advances in computational mathematics"}

@String{j-AIAAJ                 = "Am. Inst. Aero. Astro. J."}

@String{j-ANN-INST-HENRI-POINCARE-ANAL-NON-LINEAIRE = "Annales de l'Institut
                                  Henri Poincar{\'e}. Analyse non
                                  lin{\'e}aire"}

@String{j-ANZIAM-J              = "The ANZIAM Journal"}

@String{j-APP-MATH-COMP         = "Appl. Math. Comp."}

@String{j-APP-NUM-ANA           = "Applied Numerical Analysis"}

@String{j-APP-NUM-MATH          = "Appl. Num. Math."}

@String{j-APP-THEORY            = "J. Appr. Theory"}

@String{j-APPL-ANAL             = "Applicable Analysis"}

@String{j-APPL-MATH             = "Applications of Mathematics"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-MATH-LETT        = "Applied Mathematics Letters"}

@String{j-APPL-MATH-MECH-ENGL-ED = "Applied mathematics and mechanics = Ying
                                  yung shu hsueh ho li hsueh"}

@String{j-APPL-NUM-ANAL-COMPUT-MATH = "ANACM. Applied Numerical Analysis and
                                  Computational Mathematics"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-BULL-AM-MATH-SOC      = "Bull. Amer. Math. Soc."}

@String{j-C-R-ACAD-SCI-PARIS-SER-I-MATH = "Comptes Rendus des S{\'e}ances de
                                  l'Acad{\'e}mie des Sciences. S{\'e}rie I.
                                  Math{\'e}matique"}

@String{j-C-R-MATH-ACAD-SCI-PARIS = "Comptes Rendus Math{\'e}matique.
                                  Acad{\'e}mie des Sciences. Paris"}

@String{j-CALCOLO               = "Calcolo"}

@String{j-CCPE                  = "Concurrency and Computation: Prac\-tice and
                                  Experience"}

@String{j-CGF                   = "Com{\-}pu{\-}ter Graphics Forum"}

@String{j-COMM-APPL-ANAL        = "Communications in Applied Analysis"}

@String{j-COMM-NUMER-METHODS-ENGRG = "Communications in Numerical Methods in
                                  Engineering"}

@String{j-COMMUN-APPL-MATH-COMPUT-SCI = "Communications in Applied Mathematics
                                  and Computational Science"}

@String{j-COMMUN-COMPUT-PHYS    = "Communications in Computational Physics"}

@String{j-COMP-APPL-MATH        = "J. of Computational and Applied
                                  Mathematics"}

@String{j-COMP-GEOSCI           = "Computers and Geosciences"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-COMP-MATH             = "Journal of Computational Mathematics"}

@String{j-COMP-MATH-APPL        = "Computers and Mathematics with
                                  Applications"}

@String{j-COMP-METH-APP-MECH-ENG = "Comput. Meth. Appl. Mech. Engin."}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPUT-MECH           = "Computational mechanics"}

@String{j-COMPUT-METH-APPL-MATH = "Computational Methods in Applied
                                  Mathematics"}

@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics
                                  and Engineering"}

@String{j-COMPUT-SYST-ENG       = "Computing Systems in Engineering"}

@String{j-COMPUT-VIS-SCI        = "Computing and Visualization in Science"}

@String{j-COMPUTING             = "Computing"}

@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}

@String{j-CONTROL-CYBERN        = "Control and cybernetics"}

@String{j-CPE                   = "Concurrency: practice and experience"}

@String{j-CRAS-PARIS            = "C. R. Acad. Sci. Paris"}

@String{j-CZECH-MATH-J          = "Czech. Math. J."}

@String{j-DOKL-AKAD-NAUK        = "Doklady Akademii nauk SSSR"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                  Analysis"}

@String{j-ENG-ANAL-BOUND-ELEM   = "Engineering Analysis with Boundary
                                  Elements"}

@String{j-EW-J-NUM-MATH         = "East-West Journal of Numerical Mathematics"}

@String{j-FUT-GEN-COMP-SYS      = "Future Generation Computer Systems"}

@String{j-IBM-SYS-J             = "IBM Systems Journal"}

@String{j-IEEE-COMPUT-SCI-ENG   = "IEEE Computational Science \& Engineering"}

@String{j-IEEE-TRANS-ANTENNAS-PROPAG = "IEEE Transactions on Antennas and
                                  Propagation"}

@String{j-IEEE-TRANS-IMAGE-PROCESS = "IEEE Transactions on Image Processing"}

@String{j-IEEE-TRANS-NETWORKING = "IEEE\slash ACM Transactions on Networking"}

@String{j-IEEE-TRANS-PAR-DIST-SYS = "IEEE Transactions on Parallel and
                                  Distributed Systems"}

@String{j-IFIP-TRANS-A          = "IFIP Transactions. A. Computer Science and
                                  Technology"}

@String{j-IJSA                  = "The International Journal of Supercomputer
                                  Applications"}

@String{j-IJSAHPC               = "The International Journal of Supercomputer
                                  Applications and High Performance Computing"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-IMP-COMP-SCI-ENG      = "Impact Comput. Sci. Eng."}

@String{j-INT-J-COMPUT-FLUID-DYN = "International Journal of Computational
                                  Fluid Dynamics"}

@String{j-INT-J-COMPUT-SYST-SCI-ENG = "International Journal of Computer Systems
                                   Science and Engineering"}

@String{j-INT-J-CONTROL         = "International Journal of Control"}

@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
                                  Computing (IJHSC)"}

@String{j-INT-J-NUM-METH-ENG    = "International J. Numer. Methods
                                  Engineering"}

@String{j-INT-J-NUMER-METHODS-ENG = "International Journal for Numerical
                                  Methods in Engineering"}

@String{j-INT-J-NUMER-METHODS-FLUIDS = "International Journal for Numerical
                                  Methods in Fluids"}

@String{j-INT-J-PAR-EMER-DIST-SYS = "International Journal of Parallel, Emergent
                                  and Distributed Systems: IJPEDS"}

@String{j-INT-J-PURE-APPL-MATH  = "International Journal of Pure and Applied
                                  Mathematics"}

@String{j-INVERSE-PROBLEMS      = "Inverse Problems"}

@String{j-IZV-VYSS-UCEBN-ZAVED-MAT = "Izvestiia vysshikh uchebnykh zavedenii.
                                  Matematika"}

@String{j-J-ALGORITHMS-COMPUT-TECHNOL = "Journal of Algorithms \&
                                  Computational Technology"}

@String{j-J-COMP-APPL-MATH      = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMP-MATH           = "Journal of Computational Mathematics"}

@String{j-J-COMPLEXITY          = "Journal of complexity"}

@String{j-J-COMPUT-PHYS         = "Journal of computational physics"}

@String{j-J-FLUID-MECH          = "Journal of Fluid Mechanics"}

@String{j-J-NUM-LIN-ALG-APPL    = "Journal of Numerical linear algebra with
                                  applications"}

@String{j-J-NUMER-METHODS-COMPUT-APPL = "Journal on Numerical Methods and
                                  Computer Applications"}

@String{j-J-PAR-DIST-COMP       = "Journal of Parallel and Distributed
                                  Computing"}

@String{j-J-SUPERCOMPUTING      = "The Journal of Supercomputing"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-COMP-MODELLING   = "Mathematical and computer modelling"}

@String{j-MATH-COMP-SIM         = "Mathematics and Computers in Simulation"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-MODEL-NUM-ANA    = "Mathematical modelling and numerical
                                  analysis = Modelisation math{\'e}matique et
                                  analyse num{\'e}rique: $M^2AN$"}

@String{j-MATH-MODELS-METHODS-APPL-SCI = "Mathematical models and methods in
                                  applied sciences"}

@String{j-MMAN                  = "$M^{2}AN$"}

@String{j-NONLINEAR-ANAL        = "Nonlinear Analysis, Theory, Methods and
                                  Applications"}

@String{j-NUM-LIN-ALG-APPL      = "Numerical Linear Algebra with Applications"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-NUMER-METHODS-PARTIAL-DIFFER-EQU = "Numerical Methods for Partial
                                  Differential Equations"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-REND-MAT-APPL-1981    = "Rendiconti di matematica e delle sue
                                  applicazioni (1981)"}

@String{j-RUSS-J-NUM-ANAL-MATH-MODEL = "Russian journal of numerical analysis
                                  and mathematical modelling"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-MAT-ANAL-APPL  = "SIAM J. Matrix Anal. Appl."}

@String{j-SIAM-J-MATH-ANA       = "SIAM journal on mathematical analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIB-MAT-Z             = "Sibirskii matematicheskii zhurnal"}

@String{j-SOV-MATH              = "Soviet Mathematics"}

@String{j-J-SYMBOLIC-COMP       = "Journal of Symbolic Computation"}

@String{j-J-SYST-SOFTW          = "The Journal of Systems and Software"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-MULTISCALE-MODELING-SIMUL = "Multiscale Modeling \& Simulation"}

@String{j-PARALLEL-ALGORITHMS-APPL = "Parallel Algorithms and Applications"}

@String{j-SCI-PROG              = "Scientific Programming"}

@String{j-SIAM-J-CONTROL-OPTIM  = "SIAM Journal on Control and Optimization"}

@String{j-SIGADA-LETTERS        = "ACM SIGADA Ada Letters"}

@String{j-SIGMETRICS            = "ACM SIGMETRICS Performance Evaluation
                                  Review"}

@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-SIGPLAN               = "ACM SIG{\-}PLAN Notices"}

@String{j-SIGSAM                = "SIGSAM Bulletin (ACM Special Interest Group
                                  on Symbolic and Algebraic Manipulation)"}

@String{j-SUPERCOMPUTER         = "Supercomputer"}

@String{j-TCBB                  = "IEEE/ACM Transactions on Computational
                                  Biology and Bioinformatics"}

@String{j-THEOR-COMP-SCI        = "Theoretical Computer Science"}

@String{j-TODS                  = "ACM Transactions on Database Systems"}

@String{j-TOG                   = "ACM Transactions on Graphics"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-TOPLAS                = "ACM Transactions on Programming Languages and
                                   Systems"}

@String{j-TRANS-SOC-COMP-SIM    = "Transactions of the Society for Computer
                                  Simulation"}

@String{j-VLDB-J                = "VLDB Journal: Very Large Data Bases"}

@String{j-USSR-COMP-MATH-MATH-PHYS = "U.S.S.R. Computational Math. and Math.
                                  Phys."}

@String{j-Z-ANA-ANW             = "Z. Anal. Anwendungen"}

@String{j-Z-ANGE-MATH-MECH      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Mechanik}"}

@String{j-Z-VYCISL-MAT-MAT-FIZ  = "Zhurnal vychislitel'noi matematiki i
                                  matematicheskoi fiziki"}

@String{j-ZAMM                  = "ZAMM"}

%%% ====================================================================
%%% Publisher abbreviations:

@String{pub-ACADEMIA            = "Academia"}
@String{pub-ACADEMIA:adr        = "Prague"}

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AKADEMIE-VERLAG     = "Akademie-Verlag"}
@String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"}

@String{pub-AMS                 = "AMS"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-ATT-BELL            = "AT\&T Bell Laboratories"}
@String{pub-ATT-BELL:adr        = "Murray Hill, NJ, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr      = "Basel, Switzerland"}

@String{pub-BIRKHAUSER-BOSTON   = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}

@String{pub-BOOLE               = "Boole Press"}
@String{pub-BOOLE:adr           = "Dublin, Ireland"}

@String{pub-BULG-ACAD-SCI       = "Bulgarian Academy of Sciences"}
@String{pub-BULG-ACAD-SCI:adr   = "Sofia, Bulgaria"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CRC                 = "CRC Press"}
@String{pub-CRC:adr             = "2000 N.W. Corporate Blvd., Boca Raton, FL
                                  33431-9868, USA"}

@String{pub-DOVER               = "Dover Publications"}
@String{pub-DOVER:adr           = "New York"}

@String{pub-DUNOD               = "Dunod"}
@String{pub-DUNOD:adr           = "Paris, France"}

@String{pub-ELLIS-HORWOOD       = "Ellis Horwood"}
@String{pub-ELLIS-HORWOOD:adr   = "New York, NY, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300, Silver
                                  Spring, MD 20910, USA"}

@String{pub-IMACS               = "IMACS"}
@String{pub-IMACS:adr           = "Department of Computer Science, Rutgers
                                  University, New Brunswick, NJ"}

@String{pub-JH                  = "Johns Hopkins Univ. Press"}
@String{pub-JH:adr              = "Baltimore, MD, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht, The
                                  Netherlands"}

@String{pub-LONGMAN             = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr         = "Harlow, Essex, UK"}

@String{pub-MASSON              = "Masson Editeur"}
@String{pub-MASSON:adr          = "Masson, France"}

@String{pub-MATH-SOC-CHARKOV    = "Mathematical Society of Charkov"}
@String{pub-MATH-SOC-CHARKOV:adr = "Charkov, Russia"}

@String{pub-MCGRAW-HILL         = "McGraw-Hill"}
@String{pub-MCGRAW-HILL:adr     = "New York"}

@String{pub-NAUKA               = "Nauka"}
@String{pub-NAUKA:adr           = "Moscow, USSR"}

@String{pub-NORTH-HOLLAND       = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-NTH                 = "NTH"}
@String{pub-NTH:adr             = "Trondheim, Norway"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PH                  = "Prentice-{H}all"}
@String{pub-PH:adr              = "Englewood Cliffs, NJ 07632, USA"}

@String{pub-PITMAN              = "Pitman Publishing"}
@String{pub-PITMAN:adr          = "London, UK"}

@String{pub-PLENUM              = "Plenum Press"}
@String{pub-PLENUM:adr          = "New York, NY, USA; London, UK"}

@String{pub-PRENTICE-HALL       = "Prentice-Hall"}
@String{pub-PRENTICE-HALL:adr   = "Englewood Cliffs, N.J."}

@String{pub-SIAM                = "SIAM"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SPRINGER            = "Springer-Verlag"}
@String{pub-SPRINGER:adr        = "Berlin"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                  London, UK~/ etc."}

@String{pub-TEUBNER             = "Teubner"}
@String{pub-TEUBNER:adr         = "Stuttgart, Germany; Leipzig, Germany"}

@String{pub-U-ALABAMA           = "University of Alabama in Huntsville Press"}
@String{pub-U-ALABAMA:adr       = "Huntsville, AL, USA"}

@String{pub-USSR-ACAD-SCI       = "USSR{A}cademy of {S}ciences"}
@String{pub-USSR-ACAD-SCI:adr   = "Moscow, USSR"}

@String{pub-VIEWEG              = "Vieweg \& Son"}
@String{pub-VIEWEG:adr          = "Braunschweig, Germany"}

@String{pub-VIEWEG-VERLAG       = "Vieweg-Verlag"}
@String{pub-VIEWEG-VERLAG:adr   = "Braunschweig and Wiesbaden, Germany"}

@String{pub-WILEY               = "John Wiley and Sons, Ltd."}
@String{pub-WILEY:adr           = "New York, London, Sydney"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

@String{ser-LNCSE               = "Lecture Notes in Computational Science and
                                  Engineering"}

%%% ====================================================================
%%% Bibliography entries:

@InBook{Schwarz:1890:GMA,
  author =       "H. A. Schwarz",
  title =        "{Gesammelte Mathematische Abhandlungen}",
  volume =       "2",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "133--143",
  year =         "1890",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "First published in {Vierteljahrsschrift} der
                 {Naturforschenden} {Gesellschaft} in {Z}{\"u}rich,
                 volume 15, 1870, pp. 272--286.",
}

@Article{Poincare:1896:MNP,
  author =       "Henri Poincar{\'e}",
  title =        "La m{\'e}thode de {Neumann} et le probl{\`e}me de
                 {Dirichlet}. ({French}) [{The} {Neumann} method and the
                 {Dirichlet} problem]",
  journal =      j-ACTA-MATH,
  volume =       "20",
  pages =        "59--??",
  year =         "1896",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@Book{Steklov:1901:GMS,
  author =       "V. A. Steklov",
  title =        "General Methods for Solving Basic Problems of
                 Mathematical Physics",
  publisher =    pub-MATH-SOC-CHARKOV,
  address =      pub-MATH-SOC-CHARKOV:adr,
  year =         "1901",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Hardy:1934:I,
  author =       "G. H. Hardy and J. E. Littlewood and G. P{\'o}lya",
  title =        "Inequalities",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xii + 314",
  year =         "1934",
  LCCN =         "QA303 .H32 1934",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Sobolev:1936:LST,
  author =       "S. L. Sobolev",
  title =        "{L}'Algorithme de {Schwarz} dans la Th{\'e}orie de
                 l'Elasticit{\'e}. ({French}) [{The} {Schwarz} algorithm
                 in the theory of elasticity]",
  journal =      "Comptes Rendus (Doklady) de {l'Acad{\'e}mie des
                 Sciences de l'URSS}",
  volume =       "IV",
  number =       "(XIII) 6",
  pages =        "243--246",
  year =         "1936",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@Article{Bellman:1944:NIS,
  author =       "Richard Bellman",
  title =        "A Note on an Inequality of {E. Schmidt}",
  journal =      j-BULL-AM-MATH-SOC,
  volume =       "50",
  pages =        "734--736",
  year =         "1944",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Hestenes:1956:CGM,
  author =       "Magnus R. Hestenes",
  booktitle =    "Proc. Symp. Appl. Math VI, American Mathematical
                 Society",
  title =        "The Conjugate Gradient Method for Solving Linear
                 Systems",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "83--102",
  year =         "1956",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Morgenstern:1956:BAV,
  author =       "D. Morgenstern",
  title =        "{Begr{\"u}ndung des alternierenden Verfahrens durch
                 Orthogonalprojektion}. ({German}) [{Basis} of the
                 alternating procedure for orthogonal projection]",
  journal =      j-ZAMM,
  volume =       "36",
  pages =        "7--8",
  year =         "1956",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "German",
}

@Article{Babuska:1957:SAP,
  author =       "Ivo Babu{\v{s}}ka",
  title =        "{{\"U}ber Schwarzsche Algorithmen in partielle
                 Differentialgleichungen der mathematischen Physik}.
                 ({German}) [{On} the {Schwarz} algorithms in partial
                 differential equations of mathematical physics]",
  journal =      j-ZAMM,
  volume =       "37",
  number =       "7--8",
  pages =        "243--245",
  year =         "1957",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "German",
}

@Article{Babuska:1958:SAP,
  author =       "Ivo Babu{\v{s}}ka",
  title =        "The {Schwarz} Algorithm in Partial Differential
                 Equations of Mathematical Physics",
  journal =      j-CZECH-MATH-J,
  volume =       "83",
  number =       "8",
  pages =        "328--343",
  year =         "1958",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In Russian",
}

@Book{Varga:1962:MIA,
  author =       "Richard S. Varga",
  title =        "Matrix Iterative Analysis",
  publisher =    pub-PRENTICE-HALL,
  address =      pub-PRENTICE-HALL:adr,
  pages =        "322",
  year =         "1962",
  LCCN =         "QA263 .V3 1962",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Przemieniecki:1963:MSA,
  author =       "J. S. Przemieniecki",
  title =        "Matrix structural analysis of substructures",
  journal =      j-AIAAJ,
  volume =       "1",
  pages =        "138--147",
  year =         "1963",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bramble:1966:SOF,
  author =       "James H. Bramble",
  title =        "A second order finite difference analogue of the first
                 biharmonic boundary value problem",
  journal =      j-NUM-MATH,
  volume =       "9",
  pages =        "236--249",
  year =         "1966",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Necas:1967:MDT,
  author =       "Jind{\v{r}}ich Ne{\v{c}}as",
  title =        "Les m{\'e}thodes directes en th{\'e}orie des
                 {\'e}quations elliptiques. ({French}) [{Direct} methods
                 in the theory of elliptic equations]",
  publisher =    pub-ACADEMIA,
  address =      pub-ACADEMIA:adr,
  pages =        "351",
  year =         "1967",
  LCCN =         "QA377 .N4",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@InBook{Ilin:1969:PSC,
  author =       "V. P. Il'in",
  title =        "The Properties of Some Classes of Differentiable
                 Functions of Several Variables Defined in an
                 $n$-dimensional Region",
  volume =       "81",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "91--256",
  year =         "1969",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Originally in Trudy Mat. Inst. Steklov. 66 (1962),
                 227--363",
  series =       "2",
}

@Article{Schultz:1971:EBR,
  author =       "Martin H. Schultz",
  title =        "${L}^{2}$ error bounds for the
                 {Rayleigh--Ritz--Galerkin} method",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "8",
  number =       "4",
  pages =        "737--748",
  month =        dec,
  year =         "1971",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Lions:1972:NBV,
  author =       "Jacques-Louis Lions and Enrico Magenes",
  title =        "Nonhomogeneous Boundary Value Problems and
                 Applications",
  volume =       "I",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "1972",
  ISBN =         "0-387-05363-8",
  ISBN-13 =      "978-0-387-05363-9",
  LCCN =         "QA3 .G75 v.181",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Strang:1972:AFE,
  author =       "Gilbert Strang",
  title =        "Approximation in the finite element method",
  journal =      j-NUM-MATH,
  volume =       "19",
  pages =        "81--98",
  year =         "1972",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Bell:1973:NPS,
  author =       "K. Bell and B. Hatlestad and O. E. Hansteen and Per O.
                 Araldsen",
  title =        "{NORSAM}, a programming system for the finite element
                 method. {Users} manual, {Part} 1, {General}
                 description",
  publisher =    pub-NTH,
  address =      pub-NTH:adr,
  year =         "1973",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{George:1973:NDR,
  author =       "Alan George",
  title =        "Nested Dissection of a Regular Finite Element Mesh",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "10",
  number =       "2",
  pages =        "345--363",
  month =        apr,
  year =         "1973",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Book{Strang:1973:AFE,
  author =       "Gilbert Strang and George J. Fix",
  title =        "An Analysis of the Finite Element Method",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xiv + 306",
  year =         "1973",
  ISBN =         "0-13-032946-0",
  ISBN-13 =      "978-0-13-032946-2",
  LCCN =         "TA335 .S77",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Schatz:1974:OCR,
  author =       "Alfred H. Schatz",
  title =        "An observation concerning {Ritz--Galerkin} methods
                 with indefinite bilinear forms",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "128",
  pages =        "959--962",
  month =        oct,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); B0290P
                 (Differential equations); C4110 (Error analysis in
                 numerical methods); C4170 (Differential equations)",
  keywords =     "analysis; boundary value problems; boundary-value
                 problems; error; error analysis; estimates; existence;
                 finite element; finite element method; Garding type
                 inequality; indefinite bilinear forms; partial
                 differential equations; Ritz/Galerkin methods;
                 uniqueness",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Raviart:1975:MFE,
  author =       "P. A. Raviart and J. M. Thomas",
  editor =       "A. Dold and B. Eckmann",
  booktitle =    "Mathematical Aspects of Finite Element Methods",
  title =        "A Mixed Finite Element Method for 2-nd Order Elliptic
                 Problems",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "1975",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Lecture Notes of Mathematics, Volume 606",
}

@InProceedings{Concus:1976:GCG,
  author =       "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
  editor =       "James R. Bunch and Donald J. Rose",
  booktitle =    "Sparse Matrix Computations",
  title =        "A generalized conjugate gradient method for the
                 numerical solution of elliptic {PDE}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "309--332",
  year =         "1976",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Astrakhatsev:1978:MFD,
  author =       "G. P. Astrakhatsev",
  title =        "Method of fictitious domains for a second-order
                 elliptic equation with natural boundary conditions",
  journal =      j-USSR-COMP-MATH-MATH-PHYS,
  volume =       "18",
  pages =        "114--121",
  year =         "1978",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Ciarlet:1978:FEM,
  author =       "Philippe G. Ciarlet",
  title =        "The Finite Element Method for Elliptic Problems",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xvii + 530",
  year =         "1978",
  ISBN =         "0-444-85028-7",
  ISBN-13 =      "978-0-444-85028-7",
  LCCN =         "QA3 .T3 v.49",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Lions:1978:ISM,
  author =       "Pierre Louis Lions",
  title =        "Interpr{\'e}tation stochastique de la m{\'e}thode
                 altern{\'e}e de {Schwarz}. ({French}) [{The} stochastic
                 interpretation of the {Schwarz} alternating method]",
  journal =      j-CRAS-PARIS,
  volume =       "268",
  pages =        "325--328",
  year =         "1978",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@Article{Glowinski:1979:NMF,
  author =       "R. Glowinski and O. Pironneau",
  title =        "Numerical Methods for the First Biharmonic Equation
                 and for the Two-Dimensional {Stokes} Problem",
  journal =      j-SIAM-REVIEW,
  volume =       "21",
  number =       "2",
  pages =        "167--212",
  year =         "1979",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@PhdThesis{Bjorstad:1980:NSB,
  author =       "Petter E. Bj{\o}rstad",
  title =        "Numerical solution of the biharmonic equation",
  school =       "Stanford University, Stanford, CA",
  year =         "1980",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Dinh:1980:ADD,
  author =       "R. V. Dinh and R. Glowinski and J. Periaux",
  booktitle =    "{Numerical methods for engineering, 1 (Paris, 1980)}",
  title =        "Applications of domain decomposition techniques to the
                 numerical solution of the {Navier--Stokes} equations",
  publisher =    pub-DUNOD,
  address =      pub-DUNOD:adr,
  pages =        "383--404",
  year =         "1980",
  MRclass =      "65P05 (76D05)",
  MRnumber =     "660683 (83g:65115)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Chin:1981:PCD,
  author =       "R. C. Y. Chin",
  title =        "Parallel computation of a domain decomposition
                 method",
  type =         "Technical Report",
  number =       "CSRD 657",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "7",
  year =         "1981",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by Lawrence Livermore National
                 Laboratory. Supported in part by the National Science
                 Foundation. Supported in part by the U.S. Department of
                 Energy. Supported in part by the U.S. Air Force.",
  keywords =     "Decomposition method; Parallel programming (Computer
                 science)",
}

@InProceedings{Dryja:1981:ACM,
  author =       "Maksymilian Dryja",
  editor =       "G. I. Marchuk",
  booktitle =    "Variational-Difference Methods in Mathematical
                 Physics",
  title =        "An Algorithm with a Capacitance Matrix for a
                 Variational-Difference Scheme",
  publisher =    pub-USSR-ACAD-SCI,
  address =      pub-USSR-ACAD-SCI:adr,
  pages =        "63--73",
  year =         "1981",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{George:1981:CSL,
  author =       "Alan George and Joseph Liu",
  title =        "Computer Solution of Large Sparse Positive Definite
                 Systems",
  publisher =    pub-PRENTICE-HALL,
  address =      pub-PRENTICE-HALL:adr,
  pages =        "xii + 324",
  year =         "1981",
  ISBN =         "0-13-165274-5",
  ISBN-13 =      "978-0-13-165274-3",
  LCCN =         "QA188 .G46 1980",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Dryja:1982:CMM,
  author =       "Maksymilian Dryja",
  title =        "A capacitance matrix method for {Dirichlet} problem on
                 polygon region",
  journal =      j-NUM-MATH,
  volume =       "39",
  pages =        "51--64",
  year =         "1982",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Oden:1982:IMT,
  author =       "J. T. Oden and J. N. Reddy",
  title =        "An Introduction to the Mathematical Theory of Finite
                 Elements",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xii + 429",
  year =         "1982",
  ISBN =         "0-471-65261-X",
  ISBN-13 =      "978-0-471-65261-8",
  LCCN =         "QA379 .O3 1976",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Zavadskii:1982:MKR,
  author =       "V. Yu. Zavadski{\u\i}",
  title =        "Metod konechnykh raznostei v volnovykh zadachakh
                 akustiki",
  publisher =    "Nauka",
  address =      "Moscow, USSR",
  pages =        "272",
  year =         "1982",
  MRclass =      "76Q05 (65N05 76-08)",
  MRnumber =     "701705 (84m:76083)",
  MRreviewer =   "G. W. Hedstrom",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Dinh:1983:ASN,
  author =       "Q. V. Dinh and B. Mantel and J. P{\'e}riaux and R.
                 Glowinski",
  booktitle =    "{Numerical methods (Caracas, 1982)}",
  title =        "Approximate solution of the {Navier--Stokes} equations
                 for incompressible viscous fluids. {Related} domain
                 decomposition methods",
  volume =       "1005",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "46--86",
  year =         "1983",
  MRclass =      "76-08 (65N30 76D05)",
  MRnumber =     "722815 (85d:76003)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Math.",
  acknowledgement = ack-nhfb,
}

@Article{Eisenstat:1983:VIM,
  author =       "Stanley C. Eisenstat and Howard C. Elman and Martin H.
                 Schultz",
  title =        "Variational Iterative Methods for Nonsymmetric Systems
                 of Linear Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "2",
  pages =        "345--357",
  month =        apr,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10",
  MRnumber =     "84h:65030",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Feng:1983:FEM,
  author =       "Kang Feng",
  booktitle =    "Proceedings of the International Congress of
                 Mathematicians",
  title =        "Finite Element Method and Natural Boundary Reduction",
  publisher =    "????",
  address =      "Warsaw, Poland",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Glowinski:1983:DDM,
  author =       "R. Glowinski and Q. V. Dinh and J. Periaux",
  title =        "Domain decomposition methods for nonlinear problems in
                 fluid dynamics",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "40",
  number =       "1",
  pages =        "27--109",
  year =         "1983",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(83)90045-2",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "76-08 (65N30)",
  MRnumber =     "718028 (84i:76007)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@InCollection{Kuznetsov:1983:IMU,
  author =       "Yu. A. Kuznetsov and O. D. Trufanov",
  booktitle =    "{Computational methods in linear algebra (Russian)
                 (Moscow, 1982)}",
  title =        "Iterative methods that utilize domain decomposition
                 for solving the {Helmholtz} wave equation",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "151--174",
  year =         "1983",
  MRclass =      "65N99",
  MRnumber =     "931813 (88k:65121)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bjorstad:1984:SEP,
  author =       "Petter E. Bj{\o}rstad and Olof B. Widlund",
  editor =       "Garrett Birkhoff and Arthur Schoenstadt",
  booktitle =    "Elliptic Problem Solvers {II}",
  title =        "Solving elliptic problems on regions partitioned into
                 substructures",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "245--256",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Dihn:1984:SEP,
  author =       "Q. V. Dihn and Roland Glowinski and Jacques
                 P{\'e}riaux",
  editor =       "Garrett Birkhoff and Arthur Schoenstadt",
  booktitle =    "{Elliptic problem solvers, II (Monterey, Calif.,
                 1983)}",
  title =        "Solving elliptic problems by domain decomposition
                 methods with applications",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "395--426",
  year =         "1984",
  MRclass =      "65N99",
  MRnumber =     "764246",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Dryja:1984:FEC,
  author =       "Maksymilian Dryja",
  title =        "A finite element-capacitance method for elliptic
                 problems on regions partitioned into subregions",
  journal =      j-NUM-MATH,
  volume =       "44",
  pages =        "153--168",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Egorov:1984:CRG,
  author =       "A. V. Egorov and E. P. Zhidkov and B. N.
                 Khoromski{\u\i}",
  title =        "Chislennoe reshenie granichnykh integralnykh uravnenii
                 dlya operatora {Laplasa} na poverkhnosti kuba. {Chast}
                 2",
  publisher =    "Joint Inst. Nuclear Res.",
  address =      "Dubna, USSR",
  pages =        "12",
  year =         "1984",
  MRclass =      "65N30 (65N45 65R20)",
  MRnumber =     "777145 (86e:65152b)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "With an English summary",
  series =       "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
                 Yadernykh Issledovani\u\i. Dubna} [Communications of
                 the Joint Institute for Nuclear Research. Dubna],
                 R11-84-596",
  acknowledgement = ack-nhfb,
}

@InProceedings{Golub:1984:UPI,
  author =       "Gene Golub and D. Mayers",
  editor =       "R. Glowinski and J. L. Lions",
  booktitle =    "Computing Methods in Applied Sciences and Engineering,
                 VI",
  title =        "The Use of Preconditioning Over Irregular Regions",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "3--14",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceedings of a conference held in Versailles,
                 France, December 12-16,1983.",
}

@InProceedings{Hackbusch:1984:LDC,
  author =       "W. Hackbusch",
  booktitle =    "{Defect correction methods (Oberwolfach, 1983)}",
  title =        "Local defect correction method and domain
                 decomposition techniques",
  crossref =     "Bohmer:1984:DCM",
  volume =       "5",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "89--113",
  year =         "1984",
  CODEN =        "COSPDM",
  ISSN =         "0344-8029",
  MRclass =      "65N05 (65B05)",
  MRnumber =     "782692 (86e:65146)",
  MRreviewer =   "V. Pereyra",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/mgnet.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database",
  series =       j-COMPUTING-SUPPLEMENTUM,
  acknowledgement = ack-nhfb,
}

@Article{Lappalainen:1984:PCN,
  author =       "V. Lappalainen and P. Neittaanm{\"a}ki and T.
                 Tiihonen",
  title =        "Parallel computing in numerical solution procedures
                 for partial differential equations",
  journal =      "Arkhimedes",
  volume =       "36",
  number =       "2",
  pages =        "73--84",
  year =         "1984",
  CODEN =        "AKMDA5",
  ISSN =         "0004-1920",
  MRclass =      "65W05 (65N05)",
  MRnumber =     "753363 (85f:65131)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Arkhimedes. Suomen Fyysikkoseura-Finlands
                 Fysikerforening r.y. Suomen Matemaattinen
                 Yhdistys-Finlands Matematiska F{\"o}rening r.y.",
}

@InProceedings{McCormick:1984:FAC,
  author =       "Steve McCormick",
  editor =       "K. B{\"{o}}hmer and H. J. Stetter",
  booktitle =    "Defect Correction Methods: Theory and Applications",
  title =        "Fast adaptive composite grid ({FAC}) methods",
  organization = "Computing Supplementum 5",
  publisher =    pub-SPRINGER,
  address =      pub-SPRINGER:adr,
  pages =        "115--121",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Nepomnyaschikh:1984:AMB,
  author =       "S. V. Nepomnyaschikh",
  title =        "On the application of the method of bordering for
                 elliptic mixed boundary value problems and on the
                 difference norms of $ {W}^{1/2}_{2}({S}) $",
  number =       "106",
  institution =  inst-CC-SB-USSR-ACAD-SCI,
  address =      inst-CC-SB-USSR-ACAD-SCI:adr,
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In Russian",
}

@InProceedings{Widlund:1984:IME,
  author =       "Olof B. Widlund",
  editor =       "R. Glowinski and J. L. Lions",
  booktitle =    "Computing Methods in Applied Sciences and Engineering,
                 VI",
  title =        "Iterative Methods for Elliptic Problems on Regions
                 Partitioned into Substructures and the Biharmonic
                 {Dirichlet} Problem",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "33--45",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Agapov:1985:PAR,
  author =       "V. K. Agapov and S. A. Finogenov",
  booktitle =    "{Methods of numerical and applied mathematics
                 (Russian)}",
  title =        "On a problem on the approximate realization of a
                 method for domain decomposition",
  publisher =    "Akad. Nauk SSSR Vychisl. Tsentr",
  address =      "Moscow, USSR",
  pages =        "4--16",
  year =         "1985",
  MRclass =      "65N50",
  MRnumber =     "938319",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Chan:1985:DDF,
  author =       "Tony F. Chan and Diana C. Resasco",
  title =        "A domain-decomposed fast {Poisson} solver on a
                 rectangle",
  number =       "{/DCS/RR-409}",
  institution =  "Yale University",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Chan:1985:SPD,
  author =       "Tony F. Chan and Diana C. Resasco",
  title =        "A survey of preconditioners for domain decomposition",
  number =       "{/DCS/RR-414}",
  institution =  "Yale University",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Glowinski:1985:FEL,
  author =       "R. Glowinski and J. P{\'e}riaux",
  booktitle =    "{Numerical methods in fluid dynamics (Como, 1983)}",
  title =        "Finite element, least squares and domain decomposition
                 methods for the numerical solution of nonlinear
                 problems in fluid dynamics",
  volume =       "1127",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "1--114",
  year =         "1985",
  DOI =          "http://dx.doi.org/10.1007/BFb0074529",
  MRclass =      "76-08 (65M60 65N30 76D05)",
  MRnumber =     "802211 (87c:76008)",
  MRreviewer =   "Wolfgang Moldenhauer",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Math.",
  acknowledgement = ack-nhfb,
}

@Book{Grisvard:1985:EPN,
  author =       "P. Grisvard",
  title =        "Elliptic problems in nonsmooth domains",
  publisher =    pub-PITMAN,
  address =      pub-PITMAN:adr,
  pages =        "xiv + 410",
  year =         "1985",
  ISBN =         "0-273-08647-2",
  ISBN-13 =      "978-0-273-08647-5",
  LCCN =         "QA379 .G74 1985",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Gustafson:1985:PEE,
  author =       "Karl Gustafson",
  title =        "Principles of electricity and economics in fluid
                 dynamics",
  journal =      j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
  volume =       "1",
  number =       "2",
  pages =        "145--157",
  year =         "1985",
  CODEN =        "NMPDEB",
  DOI =          "http://dx.doi.org/10.1002/num.1690010205",
  ISSN =         "0749-159X",
  MRclass =      "76-08 (90C50)",
  MRnumber =     "847023 (87k:76002)",
  MRreviewer =   "Eugene L. Wachspress",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Methods for Partial Differential Equations.
                 An International Journal",
}

@Book{Kuznetsov:1985:MVP,
  editor =       "Yu. A. Kuznetsov",
  title =        "Metody vychislitelnoi i prikladnoi matematiki",
  publisher =    "Akad. Nauk SSSR Vychisl. Tsentr",
  address =      "Moscow, USSR",
  pages =        "173",
  year =         "1985",
  MRclass =      "00A10 (65-06)",
  MRnumber =     "938318 (88k:00015)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Matsokin:1985:SAM,
  author =       "A. M. Matsokin and S. V. Nepomnyaschikh",
  title =        "A {Schwarz} alternating method in a subspace",
  journal =      j-SOV-MATH,
  volume =       "29",
  number =       "10",
  pages =        "78--84",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Przemieniecki:1985:TMS,
  author =       "J. S. Przemieniecki",
  title =        "Theory of Matrix Structural Analysis",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "468",
  year =         "1985",
  ISBN =         "0-486-64948-2",
  ISBN-13 =      "978-0-486-64948-1",
  LCCN =         "TA642.P77 1985",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Reprint of McGraw Hill, 1968",
}

@Article{Rodrigue:1985:IOI,
  author =       "Garry Rodrigue",
  title =        "Inner/outer iterative methods and numerical {Schwarz}
                 algorithms",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "2",
  number =       "3",
  pages =        "205--218",
  year =         "1985",
  CODEN =        "PACOEJ",
  DOI =          "http://dx.doi.org/10.1016/0167-8191(85)90003-1",
  ISSN =         "0167-8191",
  MRclass =      "65N20 (65W05)",
  MRnumber =     "825967 (87c:65138)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
}

@InCollection{Trufanov:1985:MDD,
  author =       "O. D. Trufanov",
  booktitle =    "{Methods of numerical and applied mathematics
                 (Russian)}",
  title =        "A method of domain decomposition for the {Helmholtz}
                 equation with a complex parameter",
  publisher =    "Akad. Nauk SSSR Vychisl. Tsentr",
  address =      "Moscow, USSR",
  pages =        "136--143",
  year =         "1985",
  MRclass =      "65N50",
  MRnumber =     "938330",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Yserentant:1985:HBF,
  author =       "Harry Yserentant",
  title =        "Hierarchical Bases of Finite-Element Spaces in the
                 Discretization of Nonsymmetric Elliptic Boundary Value
                 Problems",
  journal =      j-COMPUTING,
  volume =       "35",
  pages =        "39--49",
  year =         "1985",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Agoshkov:1986:DDM,
  author =       "V. I. Agoshkov",
  booktitle =    "{Computing methods in applied sciences and
                 engineering, VII (Versailles, 1985)}",
  title =        "Domain decomposition methods in problems of
                 hydrodynamics",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "303--310",
  year =         "1986",
  MRclass =      "65P05 (65W05 76-08)",
  MRnumber =     "905303 (88h:65226)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Bespalov:1986:MRO,
  author =       "A. N. Bespalov and Yu. A. Kuznetsov",
  title =        "Metody razbieniya oblasti i fiktivnykh komponent dlya
                 rascheta obemnykh rezonatorov",
  volume =       "134",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "32",
  year =         "1986",
  MRclass =      "65N05 (39A70 47B39 78A50)",
  MRnumber =     "937510 (90a:65216)",
  MRreviewer =   "B. Belinskiy",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Article{Bjorstad:1986:IMS,
  author =       "Petter E. Bj{\o}rstad and Olof B. Widlund",
  title =        "Iterative methods for the solution of elliptic
                 problems on regions partitioned into substructures",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "23",
  number =       "6",
  pages =        "1097--1120",
  month =        dec,
  year =         "1986",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N20 (65F10 65N30)",
  MRnumber =     "88h:65188",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Bramble:1986:CPE,
  author =       "James H. Bramble and Joseph E. Pasciak and Alfred H.
                 Schatz",
  title =        "The construction of preconditioners for elliptic
                 problems by substructuring. {I}",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "175",
  pages =        "103--134",
  month =        jul,
  year =         "1986",
  CODEN =        "MCMPAF",
  DOI =          "http://dx.doi.org/10.2307/2008084",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65F10 65W05)",
  MRnumber =     "842125 (87m:65174)",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; MathSciNet database;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); B0290P (Differential
                 equations); C4130 (Interpolation and function
                 approximation); C4140 (Linear algebra); C4170
                 (Differential equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  fjournal =     "Mathematics of Computation",
  keywords =     "algebraic system of equations; boundary-value
                 problems; condition number analysis; convergence of
                 numerical methods; differential; discrete systems;
                 domain decomposition; finite element analysis; finite
                 element methods; irregular geometry; iterative
                 convergence rate; iterative methods; linear algebra;
                 operators; parallel computing; parallel processing;
                 partial differential equations; preconditioners;
                 substructuring; symmetric elliptic boundary; value
                 problems",
  kwds =         "nla, preconditioning",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bramble:1986:IME,
  author =       "James H. Bramble and Joseph E. Pasciak and Alfred H.
                 Schatz",
  title =        "An iterative method for elliptic problems on regions
                 partitioned into substructures",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "174",
  pages =        "361--369",
  month =        apr,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N20 (65F10 65N30)",
  MRnumber =     "88a:65123",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "analytic estimates; discretizations; elliptic
                 problems; iterative method; iterative methods; matrix
                 problems; preconditioners",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Dryja:1986:MDD,
  author =       "Maksymilian Dryja and Wlodek Proskurowski and Olof
                 Widlund",
  editor =       "Bl. Sendov",
  booktitle =    "Optimal Algorithms",
  title =        "A Method of Domain Decomposition with Crosspoints for
                 Elliptic Finite Element Problems",
  publisher =    pub-BULG-ACAD-SCI,
  address =      pub-BULG-ACAD-SCI:adr,
  pages =        "97--111",
  year =         "1986",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Glowinski:1986:DMS,
  author =       "Roland Glowinski and J. P{\'e}riaux",
  booktitle =    "{Innovative numerical methods in engineering (Atlanta,
                 Ga., 1986)}",
  title =        "Decomposition methods in scientific computing:
                 application to fluid calculations",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "1--15",
  year =         "1986",
  MRclass =      "65L05 (65M05 65N05)",
  MRnumber =     "902856 (88h:65136)",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kuznetsov:1986:FCD,
  author =       "Yu. A. Kuznetsov",
  booktitle =    "{Computing methods in applied sciences and
                 engineering, VII (Versailles, 1985)}",
  title =        "Fictitious component and domain decomposition methods
                 for the solution of eigenvalue problems",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "155--172",
  year =         "1986",
  MRclass =      "65F15 (65F50)",
  MRnumber =     "905293 (88k:65035)",
  MRreviewer =   "Alan L. Andrew",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kuznetsov:1986:IMS,
  author =       "Yurij A. Kuznetsov",
  booktitle =    "{Vistas in applied mathematics}",
  title =        "Iterative methods in subspaces for eigenvalue
                 problems",
  publisher =    "Optimization Software",
  address =      "New York, NY, USA",
  pages =        "96--113",
  year =         "1986",
  MRclass =      "65F15",
  MRnumber =     "859925 (88a:65043)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Transl. Ser. Math. Engrg.",
  acknowledgement = ack-nhfb,
}

@Book{Lebedev:1986:CM,
  author =       "V. I. Lebedev",
  title =        "Composition methods",
  publisher =    pub-USSR-ACAD-SCI,
  address =      pub-USSR-ACAD-SCI:adr,
  year =         "1986",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In Russian",
}

@Article{Marchuk:1986:FDD,
  author =       "G. I. Marchuk and Yu. A. Kuznetsov and A. M.
                 Matsokin",
  title =        "Fictitious domain and domain decomposition methods",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "1",
  number =       "1",
  pages =        "3--61",
  year =         "1986",
  ISSN =         "0169-2895",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "897996 (88d:65061)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
  xxpages =      "3--35",
}

@Article{McCormick:1986:FAC,
  author =       "S. F. McCormick and J. W. Thomas",
  title =        "The fast adaptive composite grid ({FAC}) method for
                 elliptic equations",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "174",
  pages =        "439--456",
  month =        apr,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N20 (65F10 65N50)",
  MRnumber =     "87e:65070",
  MRreviewer =   "Harry Yserentant",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib;
                 Parallel/Multi.grid.bib; Theory/o_ccd.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Colorado State Univ., Fort Collins,
                 CO, USA",
  keywords =     "boundary-value problems; coarse grid; differential
                 boundary value problems; differential equations;
                 elliptic; equations; fast adaptive grid method;
                 parallel computation; solution; vector computation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Miellou:1986:IMP,
  author =       "J.-C. Miellou and G.-R. Perrin and P. Spiteri",
  title =        "Inexpensive Method of Performance Evaluation for
                 Subdomain Decomposition Parallel Algorithms of
                 Three-Dimensional Elliptical Problems",
  journal =      j-J-SYST-SOFTW,
  volume =       "6",
  number =       "1--2",
  pages =        "169--173",
  month =        may,
  year =         "1986",
  CODEN =        "JSSODM",
  ISSN =         "0164-1212",
  bibdate =      "Wed Dec 16 15:40:53 MST 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib;
                 http://www.sciencedirect.com/science/journal/01641212",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Univ de Franche-Comte, Besancon, Fr",
  classification = "722; 723; 921",
  conference =   "Perform 84, Modell and Perform Eval of",
  journalabr =   "J Syst Software",
  keywords =     "Algorithms; computer programming; computer systems,
                 digital --- Parallel Processing; mathematical software;
                 mathematical techniques --- Iterative Methods; parallel
                 algorithms; performance evaluation; subdomain
                 decomposition; three-dimensional elliptical problems",
  meetingdate =  "1986",
  meetingdate2 = "84",
}

@Article{Miki:1986:NSP,
  author =       "Kazuyoshi Miki and Toshiyuki Takagi",
  title =        "Numerical solution of {Poisson}'s equation with
                 arbitrarily shaped boundaries using a domain
                 decomposition and overlapping technique",
  journal =      j-J-COMPUT-PHYS,
  volume =       "67",
  number =       "2",
  pages =        "263--278",
  year =         "1986",
  CODEN =        "JCTPAH",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  MRclass =      "65N30 (78-08)",
  MRnumber =     "867774 (87m:65188)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@PhdThesis{Nepomnyaschikh:1986:DDS,
  author =       "Sergey V. Nepomnyaschikh",
  title =        "Domain Decomposition and Schwarz Methods in a Subspace
                 for the Approximate Solution of Elliptic Boundary Value
                 Problems",
  school =       inst-CC-SB-USSR-ACAD-SCI,
  address =      inst-CC-SB-USSR-ACAD-SCI:adr,
  year =         "1986",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Saad:1986:GGM,
  author =       "Y. Saad and M. H. Schultz",
  title =        "{GMRES}: {A} generalized minimum residual algorithm
                 for solving nonsymmetric linear systems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  pages =        "856--869",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Vassilevski:1986:MMS,
  author =       "Panayot Vassilevski",
  booktitle =    "{Multigrid methods, II (Cologne, 1985)}",
  title =        "Multigrid method in subspace and domain partitioning
                 in the discrete solution of elliptic problems",
  volume =       "1228",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "301--314",
  year =         "1986",
  DOI =          "http://dx.doi.org/10.1007/BFb0072654",
  MRclass =      "65N20",
  MRnumber =     "896068 (88g:65102)",
  MRreviewer =   "Dietrich Braess",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Math.",
  acknowledgement = ack-nhfb,
}

@Article{Yserentant:1986:HBG,
  author =       "Harry Yserentant",
  title =        "Hierarchical Bases Give Conjugate Gradient Type
                 Methods a Multigrid Speed of Convergence",
  journal =      j-APP-MATH-COMP,
  volume =       "19",
  pages =        "347--358",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Yserentant:1986:MLSa,
  author =       "Harry Yserentant",
  title =        "On the Multi-Level Splitting of Finite Element
                 Spaces",
  journal =      j-NUM-MATH,
  volume =       "49",
  pages =        "379--412",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Yserentant:1986:MLSb,
  author =       "Harry Yserentant",
  title =        "On the Multi-Level Splitting of Finite Element Spaces
                 for Indefinite Elliptic Boundary Value Problems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "23",
  number =       "3",
  pages =        "581--595",
  month =        jun,
  year =         "1986",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N30 (65F10 65N20)",
  MRnumber =     "87m:65199",
  MRreviewer =   "Stephen W. Brady",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Agoshkov:1987:ROD,
  author =       "V. I. Agoshkov",
  title =        "Reflection operators and domain decomposition methods
                 in transport theory problems",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "2",
  number =       "5",
  pages =        "325--347",
  year =         "1987",
  ISSN =         "0169-2895",
  MRclass =      "65R20 (47B99 65J15 82A70)",
  MRnumber =     "915327 (88j:65288)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Translated from the Russian",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@InCollection{Bespalov:1987:FEM,
  author =       "A. N. Bespalov",
  booktitle =    "{Numerical methods and mathematical modeling
                 (Russian)}",
  title =        "The finite element method for a problem on the natural
                 oscillations of a three-dimensional resonator",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "82--103",
  year =         "1987",
  MRclass =      "78-08 (65N30)",
  MRnumber =     "1006886 (90j:78002)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Bespalov:1987:RCC,
  author =       "A. N. Bespalov and Yu. A. Kuznetsov",
  title =        "{RF} cavity computations by the domain decomposition
                 and fictitious components methods",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "2",
  number =       "4",
  pages =        "259--278",
  year =         "1987",
  ISSN =         "0169-2895",
  MRclass =      "78A50 (65N25 65N30 78-08)",
  MRnumber =     "907854 (89a:78010)",
  MRreviewer =   "Lubor Malina",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Translated from the Russian",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Bramble:1987:CPE,
  author =       "James H. Bramble and Joseph E. Pasciak and Alfred H.
                 Schatz",
  title =        "The construction of preconditioners for elliptic
                 problems by substructuring, {II}",
  journal =      j-MATH-COMPUT,
  volume =       "49",
  number =       "179",
  pages =        "1--16",
  month =        jul,
  year =         "1987",
  CODEN =        "MCMPAF",
  DOI =          "http://dx.doi.org/10.2307/2008246",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "890250 (88j:65248)",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; MathSciNet database;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C4180 (Integral equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  fjournal =     "Mathematics of Computation",
  keywords =     "algorithms; approximation; approximation theory;
                 boundary-value problems; condition number;
                 decomposition techniques; discrete systems; domain;
                 elliptic boundary value problems; environments; mesh
                 size; parallel computing; preconditioned system;
                 singularly perturbed problems; subdomain size;
                 substructuring; three-dimensions problems",
  kwds =         "nla, preconditioning",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Bramble:1987:PTI,
  author =       "James H. Bramble and Joseph E. Pasciak",
  title =        "A Preconditioning Technique for Indefinite Systems
                 Resulting from Mixed Approximations of Elliptic
                 Problems",
  institution =  "Cornell University",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Chan:1987:ADD,
  author =       "Tony F. Chan and Diana C. Resasco",
  editor =       "R. Vichnevetsky and R. Stepleman",
  booktitle =    "Advances in Computer Methods for Partial Differential
                 Equations",
  title =        "Analysis of Domain Decomposition Preconditioners on
                 Irregular Regions",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  year =         "1987",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Chan:1987:APD,
  author =       "Tony F. Chan",
  title =        "Analysis of Preconditioners for Domain Decomposition",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "24",
  number =       "2",
  pages =        "382--390",
  month =        apr,
  year =         "1987",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0724029",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "881372 (88e:65033)",
  MRreviewer =   "Harry Yserentant",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
}

@TechReport{Dryja:1987:AVS,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  title =        "An Additive Variant of the {Schwarz} Alternating
                 Method for the Case of Many Subregions",
  number =       "339, also Ultracomputer Note 131",
  institution =  "Department of Computer Science, Courant Institute",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Gear:1987:SCP,
  author =       "C. W. Gear and R. G. Voigt",
  title =        "{Second Conference on Parallel Processing for
                 Scientific Computing}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "2",
  pages =        "S139--S287",
  month =        mar,
  year =         "1987",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  bibdate =      "Sat May 03 12:12:00 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C1140Z (Other and miscellaneous); C4100 (Numerical
                 analysis)",
  conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985",
  conftitle =    "Second Conference on Parallel Processing for
                 Scientific Computing",
  keywords =     "domain decomposition for elliptic PDEs; hyperbolic
                 conservation-law systems; hypercube algorithms;
                 numerical methods; parallel algorithms; performance
                 measurements; statistical analysis; symmetric
                 eigenvalue problem; symmetric tridiagonal eigenvalue
                 problem",
  sponsororg =   "SIAM; NSF; Air Force Office Sci. Res",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Glowinski:1987:DDM,
  author =       "Roland Glowinski and Mary F. Wheeler",
  title =        "Domain decomposition and mixed finite element methods
                 for elliptic problems",
  number =       "87-11",
  institution =  "Rice University",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Glowinski:1987:NMN,
  author =       "Roland Glowinski and Jacques F. P{\'e}riaux",
  booktitle =    "{Supercomputing}",
  title =        "Numerical methods for nonlinear problem in fluid
                 dynamics",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "381--479",
  year =         "1987",
  MRclass =      "65P05 (76-08)",
  MRnumber =     "1026941 (90k:65187)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Gonzalez:1987:DDE,
  author =       "Ruth Gonzalez and Mary Fanett Wheeler",
  title =        "Domain decomposition for elliptic partial differential
                 equations with {Neumann} boundary conditions",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "5",
  number =       "1--2",
  pages =        "257--263",
  month =        jul,
  year =         "1987",
  CODEN =        "PACOEJ",
  DOI =          "http://dx.doi.org/10.1016/0167-8191(87)90022-6",
  ISSN =         "0167-8191",
  MRclass =      "65N20 (65W05)",
  MRnumber =     "898046 (88d:65148)",
  bibdate =      "Mon Apr 14 12:07:40 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
                 MathSciNet database",
  note =         "Proceedings of the international conference on vector
                 and parallel computing---issues in applied research and
                 development (Loen, 1986).",
  acknowledgement = ack-nhfb,
  classification = "B0290P (Differential equations); C4170 (Differential
                 equations); C5440 (Multiprocessor systems and
                 techniques)",
  conflocation = "Loen, Norway; 2-6 June 1986",
  conftitle =    "International Conference on Vector and Parallel
                 Computing --- Issues in Applied Research and
                 Development",
  corpsource =   "Exxon Production Res. Co., Houston, TX, USA",
  keywords =     "conditions; dimensional problems; domain
                 decomposition; element discretizations; elliptic
                 partial differential equations; finite; finite
                 difference discretization; large two-; Neumann
                 boundary; parallel processing; partial differential
                 equations; preconditioned conjugate gradient method;
                 preconditioner",
  sponsororg =   "IBM Norway; R. Norwegian Council Sci. and Ind. Res.;
                 AMDAHL; FPS; CRAY",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@TechReport{Hart:1987:AMA,
  author =       "Leslie Hart and Steve McCormick",
  title =        "Asynchronous Multilevel Adaptive Methods for Solving
                 Partial Differential Equations on Multiprocessors:
                 Computational Analysis",
  institution =  "Comp. Math. Group, Univ. of Colorado at Denver",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Parallel Computing",
}

@Book{Johnson:1987:NSP,
  author =       "Claes Johnson",
  title =        "Numerical Solutions of Partial Differential Equations
                 by the Finite Element Method",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "278",
  year =         "1987",
  ISBN =         "0-521-34514-6",
  ISBN-13 =      "978-0-521-34514-9",
  LCCN =         "TA347.F5 J621 1987",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Kang:1987:PAD,
  author =       "Li Shan Kang",
  booktitle =    "{Numerical methods for partial differential equations
                 (Shanghai, 1987)}",
  title =        "Parallel algorithms and domain decomposition",
  volume =       "1297",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "61--75",
  year =         "1987",
  DOI =          "http://dx.doi.org/10.1007/BFb0078540",
  MRclass =      "65N20 (65W05)",
  MRnumber =     "929038 (89f:65113)",
  MRreviewer =   "Dirk Roose",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Math.",
  acknowledgement = ack-nhfb,
}

@Article{Keyes:1987:CDD,
  author =       "David E. Keyes and William D. Gropp",
  title =        "A comparison of domain decomposition techniques for
                 elliptic partial differential equations and their
                 parallel implementation",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "2",
  pages =        "S166--S202",
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "http://dx.doi.org/10.1137/0908020",
  ISSN =         "0196-5204",
  MRclass =      "65N20 (65F10 65W05)",
  MRnumber =     "879402 (88g:65101)",
  MRreviewer =   "Michel Cosnard",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Parallel processing for scientific computing (Norfolk,
                 Va., 1985)",
  acknowledgement = ack-nhfb,
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
}

@Article{Kuznetsov:1987:DDM,
  author =       "Yu. A. Kuznetsov and O. D. Trufanov",
  title =        "Domain decomposition methods for the wave {Helmholtz}
                 equation",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "2",
  number =       "2",
  pages =        "113--136",
  year =         "1987",
  ISSN =         "0169-2895",
  MRclass =      "65N30 (35J05)",
  MRnumber =     "900367 (88i:65133)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@TechReport{Lee:1987:FPS,
  author =       "Daeshik Lee and E. J. (Efstratios J.) Gallopoulos",
  title =        "Fast {{Poisson}} solver on irregular regions by
                 boundary integral-based domain decomposition methods",
  type =         "Technical Report",
  number =       "CSRD 687",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "4",
  year =         "1987",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  annote =       "[3-4].",
  keywords =     "Poisson's equation",
}

@InProceedings{Mastin:1987:IFD,
  author =       "C. Wayne Mastin",
  booktitle =    "{Proceedings of the 2nd international conference on
                 computational and applied mathematics (Leuven, 1986)}",
  title =        "Implicit finite difference methods on composite
                 grids",
  volume =       "20 (special issue)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "317--323",
  year =         "1987",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(87)90148-8",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "65N50",
  MRnumber =     "920401 (89b:65292)",
  MRreviewer =   "Randall J. LeVeque",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-J-COMP-APPL-MATH,
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
}

@Article{Quarteroni:1987:DDT,
  author =       "A. Quarteroni",
  title =        "Domain decomposition techniques using spectral
                 methods",
  journal =      j-CALCOLO,
  volume =       "24",
  number =       "2",
  pages =        "141--177",
  year =         "1987",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02575820",
  ISSN =         "0008-0624",
  MRclass =      "65M50 (65N50)",
  MRnumber =     "945775 (89h:65149)",
  MRreviewer =   "Ji{\v{r}}{\'\i} H{\v{r}}eb{\'\i}{\v{c}}ek",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@Article{Takagi:1987:NAE,
  author =       "Toshiyuki Takagi and Kazuyoshi Miki and Hiroki Sano",
  title =        "New Approach to Electron Beam Analysis Using a Domain
                 Decomposition and Overlapping Method in a
                 Three-Dimensional Boundary-Fitted Coordinate System",
  journal =      j-APPL-NUM-MATH,
  volume =       "3",
  number =       "4",
  pages =        "305--316",
  month =        aug,
  year =         "1987",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  bibdate =      "Sat Feb 8 10:10:32 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
  classification = "723; 921; 932",
  journalabr =   "Appl Numer Math",
  keywords =     "computer software; domain decomposition; electron
                 beams; mathematical transformations; overlapping
                 method",
}

@InProceedings{White:1987:MPI,
  author =       "R. E. White",
  booktitle =    "{Proceedings of the first world congress on
                 computational mechanics (Austin, Tex., 1986)}",
  title =        "Multisplittings and parallel iterative methods",
  volume =       "64(1--3)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "567--577",
  year =         "1987",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(87)90057-0",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "65W05 (65N20)",
  MRnumber =     "912527 (88j:65315)",
  MRreviewer =   "Mari{\'a}n Vajter{\v{s}}ic",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-COMPUT-METH-APPL-MECH-ENG,
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@InProceedings{Widlund:1987:ETF,
  author =       "Olof B. Widlund",
  editor =       "Wolfgang Hackbusch and Kristian Witsch",
  booktitle =    "Numerical Techniques in Continuum Mechanics",
  title =        "An Extension Theorem for Finite Element Spaces with
                 Three Applications",
  volume =       "16",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "110--122",
  year =         "1987",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceedings of the Second GAMM-Seminar, Kiel, January,
                 1986",
  series =       "Notes on Numerical Fluid Mechanics",
}

@Article{Zanolli:1987:DDA,
  author =       "P. Zanolli",
  title =        "Domain decomposition algorithms for spectral methods",
  journal =      j-CALCOLO,
  volume =       "24",
  number =       "3--4",
  pages =        "201--240",
  year =         "1987",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02679107",
  ISSN =         "0008-0624",
  MRclass =      "65N55",
  MRnumber =     "1004518 (91d:65193)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@Article{Zhao:1987:MTF,
  author =       "He Sheng Zhao",
  title =        "The {Marcinkiewicz} theorem for {Fourier} series on
                 compact {Lie} groups",
  journal =      "Chinese Ann. Math. Ser. A",
  volume =       "8",
  number =       "6",
  pages =        "693--702",
  year =         "1987",
  ISSN =         "1000-8314",
  MRclass =      "43A77",
  MRnumber =     "944428 (89f:43011)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "An English summary appears in Chinese Ann. Math. Ser.
                 B {{\bf{9}}} (1988), no. 1, 148--149",
  acknowledgement = ack-nhfb,
  fjournal =     "Chinese Annals of Mathematics. Series A. Shuxue
                 Niankan. A Ji",
}

@Article{Agapov:1988:SVD,
  author =       "V. K. Agapov and Yu. A. Kuznetsov",
  title =        "On some versions of the domain decomposition method",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "3",
  number =       "4",
  pages =        "245--265",
  year =         "1988",
  ISSN =         "0169-2895",
  MRclass =      "65N30 (65F99)",
  MRnumber =     "953946 (89h:65170)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Translated from the Russian",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@InCollection{Agoshkov:1988:NRM,
  author =       "V. I. Agoshkov and S. N. Buleev",
  booktitle =    "{Conjugate equations and perturbation algorithms
                 (Russian)}",
  title =        "Numerical realization of the method of decomposition
                 of domains",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "3--27",
  year =         "1988",
  MRclass =      "65N55",
  MRnumber =     "1035713 (91k:65151)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Agoshkov:1988:PSO,
  author =       "V. I. Agoshkov",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "{Poincar{\'e}--Steklov} Operators and Domain
                 Decomposition Methods in Finite Dimensional Spaces",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "73--112",
  year =         "1988",
  MRclass =      "65N99 (65F10 65N30)",
  MRnumber =     "972513 (90d:65210)",
  MRreviewer =   "Robert Beauwens",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Agoshkov:1988:SUA,
  editor =       "V. I. Agoshkov and V. P. Shutyaev",
  title =        "Sopryazhennye uravneniya i algoritmy vozmushchenii",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "168",
  year =         "1988",
  MRclass =      "00A10 (65-06)",
  MRnumber =     "1035712 (90h:00002)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Axelsson:1988:BPD,
  author =       "O. Axelsson and B. Polman",
  title =        "Block preconditioning and domain decomposition
                 methods. {II}",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "24",
  number =       "1--2",
  pages =        "55--72",
  year =         "1988",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(88)90343-3",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "65N50 (65F30 65W05)",
  MRnumber =     "976603 (90m:65207)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Iterative methods for the solution of linear systems",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
}

@Article{Bank:1988:HBM,
  author =       "Randolph E. Bank and Todd F. Dupont and Harry
                 Yserentant",
  title =        "The Hierarchical Basis Multigrid Method",
  journal =      j-NUM-MATH,
  volume =       "52",
  pages =        "427--458",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Bjorstad:1988:IMS,
  author =       "Petter E. Bj{\o}rstad and Anders Hvidsten",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "Domain Decomposition Methods for Partial Differential
                 Equations",
  title =        "Iterative Methods for Substructured Elasticity
                 Problems in Structural Analysis",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Boulbrachene:1988:MFE,
  author =       "M. Boulbrachene and Ph. Cortey-Dumont and J.-C.
                 Miellou",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "Mixing finite elements and finite differences in a
                 subdomain method",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "198--216",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "972517 (90a:65232)",
  MRreviewer =   "R. S. Naoum",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Bourgat:1988:FVA,
  author =       "Jean-Fran{\c{c}}ois Bourgat and Roland Glowinski and
                 Patrick Le Tallec",
  title =        "Formulation variationnelle et algorithme de
                 d{\'e}composition de domaines pour les probl{\`e}mes
                 elliptiques. ({French}) [{Variational} formulation and
                 algorithm for the domain decomposition in elliptic
                 problems]",
  journal =      j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
  volume =       "306",
  number =       "13",
  pages =        "569--572",
  year =         "1988",
  CODEN =        "CASMEI",
  ISSN =         "0249-6291",
  MRclass =      "65N50",
  MRnumber =     "941627 (89b:65290)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des
                 Sciences. S{\'e}rie I. Math{\'e}matique",
  language =     "French",
}

@Article{Bramble:1988:CPE,
  author =       "James H. Bramble and Joseph E. Pasciak and Alfred H.
                 Schatz",
  title =        "The construction of preconditioners for elliptic
                 problems by substructuring. {III}",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "184",
  pages =        "415--430",
  month =        oct,
  year =         "1988",
  CODEN =        "MCMPAF",
  DOI =          "http://dx.doi.org/10.2307/2008756",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "935071 (89e:65118)",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; MathSciNet database;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4180 (Integral equations); C4170 (Differential
                 equations); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  fjournal =     "Mathematics of Computation",
  keywords =     "boundary interface conditions; boundary-value
                 problems; Chebyshev approximation; converge;
                 convergence of numerical methods; discrete; elliptic
                 boundary value; elliptic problems; equations;
                 incomplete Chebyshev; iteration; iterative algorithms;
                 iterative methods; number of unknowns; numerical
                 approximation; preconditioners; problems;
                 substructuring; systems",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bramble:1988:PTE,
  author =       "James H. Bramble and Richard E. Ewing and Joseph E.
                 Pasciak and Alfred H. Schatz",
  title =        "A preconditioning technique for the efficient solution
                 of problems with local grid refinement",
  journal =      j-COMP-METH-APP-MECH-ENG,
  volume =       "67",
  pages =        "149--159",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Brezzi:1988:SMF,
  author =       "F. Brezzi",
  booktitle =    "{Finite elements (Hampton, VA, 1986)}",
  title =        "A survey of mixed finite element methods",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "34--49",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "964479 (89m:65099)",
  MRreviewer =   "I. Christie",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "ICASE/NASA LaRC Ser.",
  acknowledgement = ack-nhfb,
}

@InCollection{Buleev:1988:MMD,
  author =       "S. N. Buleev",
  booktitle =    "{Conjugate equations and perturbation algorithms
                 (Russian)}",
  title =        "A modification of the method of domain decomposition",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "28--37",
  year =         "1988",
  MRclass =      "65N55 (76M25 76R50)",
  MRnumber =     "1035714 (91d:65185)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Canuto:1988:SAS,
  author =       "C. Canuto and D. Funaro",
  title =        "The {Schwarz} Algorithm for Spectral Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "25",
  number =       "1",
  pages =        "24--40",
  month =        feb,
  year =         "1988",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N35 (65N30)",
  MRnumber =     "89b:65286",
  MRreviewer =   "Viorel Arnautu",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@TechReport{Chan:1988:ADD,
  author =       "Tony F. Chan and Diana C. Resasco",
  title =        "An analysis of domain decomposition preconditioners on
                 {L}-shaped and {C}-shaped regions",
  number =       "{/DCS/RR-534}",
  institution =  "Yale University",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Chan:1988:DDA,
  author =       "T. F. Chan",
  title =        "Domain Decomposition Algorithms and Computational
                 Fluid Dynamics",
  journal =      j-IJSA,
  volume =       "2",
  number =       "4",
  pages =        "72--83",
  month =        "Winter",
  year =         "1988",
  CODEN =        "IJSAE9",
  ISSN =         "0890-2720",
  bibdate =      "Tue Feb 18 10:40:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
                 library database",
  acknowledgement = ack-nhfb,
  affiliation =  "California Univ., Los Angeles, CA, USA",
}

@TechReport{Chan:1988:DDI,
  author =       "Tony F. Chan and Thomas Y. Hou",
  title =        "Domain Decomposition Interface Preconditions for
                 General Second Order Elliptic Problems",
  number =       "CAM 88-16",
  institution =  "Department of Mathematics, UCLA",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Chan:1988:SSO,
  author =       "Tony F. Chan and Danny Goovaerts",
  title =        "{Schwarz} = {Schur}: Overlapping versus Nonoverlapping
                 Domain Decomposition",
  number =       "CAM 88-21",
  institution =  "Department of Mathematics, UCLA",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Chen:1988:SDD,
  author =       "Hsin-Chu Chen",
  title =        "The {SAS} domain decomposition method for structural
                 analysis",
  type =         "Technical Report",
  number =       "CSRD 754; UILU-ENG-88-8003",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "vi + 112",
  year =         "1988",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by the National Science Foundation.
                 Supported in part by the U.S. Department of Energy.
                 Supported in part by the U.S. Air Force Office of
                 Scientific Research.",
  keywords =     "Decomposition method; Structural analysis
                 (Engineering) --- Matrix methods; Symmetric domains",
}

@InCollection{Dinh:1988:CVI,
  author =       "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux and G.
                 Terrasson",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "On the coupling of viscous and inviscid models for
                 incompressible fluid flows via domain decomposition",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "350--369",
  year =         "1988",
  MRclass =      "76-08 (76D05)",
  MRnumber =     "972518 (90a:76007)",
  MRreviewer =   "Michel Cotsaftis",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dryja:1988:MDD,
  author =       "Maksymilian Dryja",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "A Method of Domain Decomposition for $3$-{D} Finite
                 Element Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "43--61",
  year =         "1988",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "972511 (90b:65200)",
  MRreviewer =   "S. F. McCormick",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  xxtitle =      "A method of domain decomposition for three-dimensional
                 finite element elliptic problems",
}

@TechReport{Ewing:1988:LRT,
  author =       "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski",
  title =        "Local refinement techniques for elliptic problems on
                 cell-centered grids",
  institution =  "University of Wyoming",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Funaro:1988:DDM,
  author =       "Daniele Funaro",
  title =        "Domain decomposition methods for pseudospectral
                 approximations. {I}. {Second} order equations in one
                 dimension",
  journal =      j-NUM-MATH,
  volume =       "52",
  number =       "3",
  pages =        "329--344",
  month =        mar,
  year =         "1988",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01398883",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65L10",
  MRnumber =     "929576 (89b:65186)",
  MRreviewer =   "Erich Bohl",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C1320 (Stability); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Pavia Univ., Italy",
  fjournal =     "Numerische Mathematik",
  keywords =     "boundary-value problems; Chebyshev approximation;
                 Chebyshev nodes; convergence; convergence of numerical
                 methods; domain decomposition methods; patching
                 conditions; pseudo spectral approximations; second
                 order boundary value problems; stability",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Funaro:1988:IPI,
  author =       "Daniele Funaro and Alfio Quarteroni and Paola
                 Zanolli",
  title =        "An iterative procedure with interface relaxation for
                 domain decomposition methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "25",
  number =       "6",
  pages =        "1213--1236",
  month =        dec,
  year =         "1988",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0725069",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "972451 (90a:65236)",
  MRreviewer =   "I. Norman Katz",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
}

@TechReport{Gallopoulos:1988:BID,
  author =       "E. J. (Efstratios J.) Gallopoulos and Daeshik Lee",
  title =        "Boundary integral domain decomposition on hierarchical
                 memory multiprocessors",
  type =         "Technical Report",
  number =       "CSRD 752",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "488--499",
  year =         "1988",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by the National Science Foundation.
                 Supported in part by the U.S. Department of Energy.
                 Supported in part by the Air Force Office of Scientific
                 Research.",
  keywords =     "Boundary element methods; Decomposition method;
                 Harmonic functions; Multiprocessors",
}

@Article{Gianni:1988:GBP,
  author =       "Patrizia Gianni and Barry Trager and Gail Zacharias",
  title =        "{Gr{\"o}bner bases and primary decomposition of
                 polynomial ideals}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "6",
  number =       "2--3",
  pages =        "149--168 (or 149--167??)",
  month =        oct # "--" # dec,
  year =         "1988",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  MRclass =      "68Q40 (13-04 13A17)",
  MRnumber =     "90f:68091",
  MRreviewer =   "Daniel Lazard",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
  note =         "Computational aspects of commutative algebra.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4130 (Interpolation and function
                 approximation); C6130 (Data handling techniques)",
  corpsource =   "Pisa Univ., Italy",
  keywords =     "polynomials; symbol manipulation; Gr{\"o}bner bases;
                 primary decomposition; polynomial ideals; algorithm;
                 primary decomposition; factorially closed; algorithmic
                 principal ideal domain; constructive PID; primary
                 decomposition",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Glowinski:1988:DDMb,
  author =       "Roland Glowinski and Mary Fanett Wheeler",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "Domain Decomposition and Mixed Finite Element Methods
                 for Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "144--172",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "972516 (90a:65237)",
  MRreviewer =   "K. Najzar",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Gropp:1988:CPI,
  author =       "William D. Gropp and David E. Keyes",
  title =        "Complexity of parallel implementation of domain
                 decomposition techniques for elliptic partial
                 differential equations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "9",
  number =       "2",
  pages =        "312--326",
  month =        mar,
  year =         "1988",
  CODEN =        "SIJCD4",
  DOI =          "http://dx.doi.org/10.1137/0909020",
  ISSN =         "0196-5204",
  MRclass =      "65N20 (65F10 65W05 68Q25)",
  MRnumber =     "930048 (88m:65167)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C4170 (Differential equations); C4240 (Programming
                 and algorithm theory); C5220 (Computer architecture)",
  corpsource =   "Res. Center for Sci. Comput., Yale Univ., New Haven,
                 CT, USA",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  keywords =     "communication startups; complexity; computational
                 complexity; domain decomposition; elliptic partial
                 differential equations; message-passing parallel
                 computers; parallel algorithms; parallel architectures;
                 partial differential equations; preconditioned
                 conjugate gradient",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Hagstrom:1988:NED,
  author =       "Thomas Hagstrom and R. P. Tewarson and Aron
                 Jazcilevich",
  title =        "Numerical experiments on a domain decomposition
                 algorithm for nonlinear elliptic boundary value
                 problems",
  journal =      j-APPL-MATH-LETT,
  volume =       "1",
  number =       "3",
  pages =        "299--302",
  year =         "1988",
  CODEN =        "AMLEEL",
  DOI =          "http://dx.doi.org/10.1016/0893-9659(88)90097-3",
  ISSN =         "0893-9659",
  MRclass =      "65N99",
  MRnumber =     "963704",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics Letters. An International Journal
                 of Rapid Publication",
}

@InProceedings{Hughes:1988:FVE,
  author =       "Thomas R. Hughes and Robert M. Ferencz",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Fully Vectorized {EBE} Preconditioners for Nonlinear
                 Solid Mechanics: Applications to Large-Scale
                 Three-Dimensional Continuum, Shell and Contact/Impact
                 Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Khoromskii:1988:KZMa,
  author =       "B. N. Khoromski{\u\i}",
  title =        "Kraevye zadachi magnitostatiki v nepolno-nelineinoi
                 postanovke i metody ikh resheniya. {Issledovanie}
                 nelineinoi problemy",
  publisher =    "Joint Inst. Nuclear Res.",
  address =      "Dubna, USSR",
  pages =        "23",
  year =         "1988",
  MRclass =      "65P05 (35Q20 78-04 78A30)",
  MRnumber =     "985755 (90a:65261)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "With an English summary",
  series =       "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
                 Yadernykh Issledovani\u\i. Dubna} [Communications of
                 the Joint Institute for Nuclear Research. Dubna],
                 R11-88-480",
  acknowledgement = ack-nhfb,
}

@Book{Khoromskii:1988:KZMb,
  author =       "B. N. Khoromski{\u\i}",
  title =        "Kraevye zadachi magnitostatiki v nepolno-nelineinoi
                 postanovke i metody ikh resheniya. {Postroenie}
                 pereobuslavlivatelei",
  publisher =    "Joint Inst. Nuclear Res.",
  address =      "Dubna, USSR",
  pages =        "32",
  year =         "1988",
  MRclass =      "65P05 (35Q20 78-04 78A30)",
  MRnumber =     "985756 (90a:65262)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "With an English summary",
  series =       "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
                 Yadernykh Issledovani\u\i. Dubna} [Communications of
                 the Joint Institute for Nuclear Research. Dubna],
                 R11-88-784",
  acknowledgement = ack-nhfb,
}

@Book{Knyazev:1988:MIM,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "Modifitsirovannye iteratsionnye metody v
                 podprostranstve dlya resheniya sistem uravnenii so
                 znakoneopredelennymi matritsami i spektralnykh zadach",
  volume =       "205",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "48",
  year =         "1988",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "994806 (91a:65083)",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Article{Kuznetsov:1988:DDM,
  author =       "Yu. A. Kuznetsov and A. V. Lapin",
  title =        "Domain decomposition method to realize an implicit
                 difference scheme for the one-phase {Stefan} problem",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "3",
  number =       "6",
  pages =        "487--504",
  year =         "1988",
  ISSN =         "0169-2895",
  MRclass =      "65N99 (65N50)",
  MRnumber =     "979716 (90h:65202)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Translated from the Russian",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@InCollection{Kuznetsov:1988:MMD,
  author =       "Yu. A. Kuznetsov",
  booktitle =    "{Numerical analysis and mathematical modeling
                 (Russian)}",
  title =        "Multilevel methods for domain decomposition",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "109--126",
  year =         "1988",
  MRclass =      "65N55",
  MRnumber =     "1063295 (91h:65192)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kvarteroni:1988:DDM,
  author =       "Alfio Kvarteroni",
  booktitle =    "{Numerical analysis and mathematical modeling
                 (Russian)}",
  title =        "A domain decomposition method for the numerical
                 solution of partial differential equations",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "79--92",
  year =         "1988",
  MRclass =      "65N55",
  MRnumber =     "1063292 (91e:65139)",
  MRreviewer =   "G. Siganevich",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Lai:1988:FEU,
  author =       "C. H. Lai and H. M. Liddell",
  title =        "Finite elements using long vectors of the {DAP}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "8",
  number =       "1--3",
  pages =        "351--361",
  month =        oct,
  year =         "1988",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation);
                 C4140 (Linear algebra); C4170 (Differential
                 equations)",
  conflocation = "Liverpool, UK; 25-28 Aug. 1987",
  conftitle =    "International Conference on Vector and Parallel
                 Processors in Computational Science III",
  corpsource =   "Dept. of Comput. Sci. and Stat., Queen Mary Coll.,
                 London Univ., UK",
  keywords =     "1-step point Jacobi preconditioner; boundary
                 conditions; conjugate gradient method; domain
                 decomposition; equations; finite element analysis;
                 finite element equations; finite element method; global
                 matrix assembly; iteration; iterative methods; Jacobi
                 preconditioner; long vector mode; long vectors; m-step
                 multi-colour preconditioner; m-step point; matrix
                 algebra; methods; multinodes; parallel; partial
                 differential; partial differential equations; Perq
                 scientific workstation; sliced mapping technique",
  sponsororg =   "US Army Eur. Res. Office",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Lazarov:1988:SEP,
  author =       "R. D. Lazarov and P. S. Vassilevski and S. D.
                 Margenov",
  booktitle =    "{Supercomputing (Athens, 1987)}",
  title =        "Solving elliptic problems by the domain decomposition
                 method using preconditioning matrices derived by
                 multilevel splittings of the finite element matrix",
  volume =       "297",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "826--835",
  year =         "1988",
  MRclass =      "65N30 (65W05)",
  MRnumber =     "936232 (89b:65270)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Comput. Sci.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Lions:1988:SAM,
  author =       "Pierre Louis Lions",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "On the {Schwarz} alternating method. {I}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "1--42",
  year =         "1988",
  MRclass =      "65N35 (35J05 35Q10)",
  MRnumber =     "972510 (90a:65248)",
  MRreviewer =   "N. Gass",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Lucier:1988:PEM,
  author =       "B. J. Lucier",
  title =        "Performance evaluation for multiprocessors programmed
                 using monitors",
  journal =      j-SIGMETRICS,
  volume =       "16",
  number =       "1",
  pages =        "22--29",
  month =        may,
  year =         "1988",
  CODEN =        "????",
  DOI =          "http://doi.acm.org/10.1145/55595.55598",
  ISSN =         "0163-5999 (print), 1557-9484 (electronic)",
  ISSN-L =       "0163-5999",
  bibdate =      "Thu Jun 26 11:05:57 MDT 2008",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/sigmetrics.bib",
  abstract =     "We present a classification of synchronization delays
                 inherent in multiprocessor systems programmed using the
                 monitor paradigm. This characterization is useful in
                 relating performance of such systems to algorithmic
                 parameters in subproblems such as domain decomposition.
                 We apply this approach to a parallel, adaptive grid
                 code for solving the equations of one-dimensional gas
                 dynamics implemented on shared memory multiprocessors
                 such as the Encore Multimax.",
  acknowledgement = ack-nhfb,
}

@TechReport{Marinescu:1988:NAL,
  author =       "D. C. Marinescu and John R. Rice",
  title =        "Non-Algorithmic Load Imbalance Effects for Domain
                 Decomposition Methods on a Hypercube",
  type =         "Technical report",
  number =       "TR-832",
  institution =  inst-CS-PURDUE,
  address =      inst-CS-PURDUE:adr,
  pages =        "25",
  month =        dec,
  year =         "1988",
  bibdate =      "Sun Dec 30 13:46:29 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
  URL =          "http://www.cs.purdue.edu/research/technical_reports/1988/TR%2088-832.pdf",
  acknowledgement = ack-nhfb,
}

@InCollection{Marini:1988:IPD,
  author =       "L. D. Marini and A. Quarteroni",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "An iterative procedure for domain decomposition
                 methods: a finite element approach",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "129--143",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "972515 (90d:65196)",
  MRreviewer =   "Wolfgang Moldenhauer",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Matsokin:1988:NST,
  author =       "A. M. Matsokin and S. V. Nepomnyaschikh",
  title =        "Norms in the space of traces of mesh functions",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "3",
  number =       "3",
  pages =        "199--216",
  year =         "1988",
  ISSN =         "0169-2895",
  MRclass =      "65N50 (65M50)",
  MRnumber =     "948943 (89i:65128)",
  MRreviewer =   "Chris Arney",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Meurant:1988:DDM,
  author =       "G. Meurant",
  title =        "Domain Decomposition Methods for Partial Differential
                 Equations on Parallel Computers",
  journal =      j-IJSA,
  volume =       "2",
  number =       "4",
  pages =        "5--12",
  month =        "Winter",
  year =         "1988",
  CODEN =        "IJSAE9",
  ISSN =         "0890-2720",
  bibdate =      "Tue Feb 18 10:40:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
                 library database",
  acknowledgement = ack-nhfb,
  affiliation =  "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve,
                 St Georges, France",
}

@Article{Meurant:1988:DDP,
  author =       "G. Meurant",
  title =        "Domain decomposition preconditioners for the conjugate
                 gradient method",
  journal =      j-CALCOLO,
  volume =       "25",
  number =       "1--2",
  pages =        "103--119",
  year =         "1988",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02575749",
  ISSN =         "0008-0624",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1053749 (91f:65193)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@InCollection{Mierendorff:1988:PMM,
  author =       "Hermann Mierendorff",
  booktitle =    "{Multigrid methods (Copper Mountain, CO, 1987)}",
  title =        "Parallelization of multigrid methods with local
                 refinements for a class of nonshared memory systems",
  volume =       "110",
  publisher =    "Dekker",
  address =      "New York, NY, USA",
  pages =        "449--465",
  year =         "1988",
  MRclass =      "65W05 (65N50)",
  MRnumber =     "959352 (89i:65145)",
  MRreviewer =   "Chris Arney",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Pure and Appl. Math.",
  acknowledgement = ack-nhfb,
}

@InCollection{Nicolaides:1988:IME,
  author =       "R. A. Nicolaides and Shenaz Choudhury",
  booktitle =    "{Finite elements (Hampton, VA, 1986)}",
  title =        "Iterative methods for elliptic finite element
                 equations on general meshes",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "94--123",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "964482 (90c:65136)",
  MRreviewer =   "Chuan Miao Chen",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "ICASE/NASA LaRC Ser.",
  acknowledgement = ack-nhfb,
}

@Article{Overton:1988:MME,
  author =       "Michael L. Overton",
  title =        "On minimizing the maximum eigenvalue of a symmetric
                 matrix",
  journal =      j-SIAM-J-MAT-ANAL-APPL,
  volume =       "9",
  number =       "2",
  pages =        "256--268",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Papamichael:1988:DDM,
  author =       "N. Papamichael and S. N. Stylianopoulos",
  title =        "On a domain decomposition method for the computation
                 of conformal modules",
  journal =      j-APPL-MATH-LETT,
  volume =       "1",
  number =       "3",
  pages =        "277--280",
  year =         "1988",
  CODEN =        "AMLEEL",
  DOI =          "http://dx.doi.org/10.1016/0893-9659(88)90092-4",
  ISSN =         "0893-9659",
  MRclass =      "30C60 (30C30 65E05)",
  MRnumber =     "963699",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics Letters. An International Journal
                 of Rapid Publication",
}

@InProceedings{Pasciak:1988:DDPa,
  author =       "Joseph E. Pasciak",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "Domain Decomposition Preconditioners for Elliptic
                 Problems in Two and Three Dimensions: {First}
                 Approach",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "62--72",
  year =         "1988",
  MRclass =      "65N99",
  MRnumber =     "972512 (90b:65227)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Pasciak:1988:DDPb,
  author =       "Joseph E. Pasciak",
  booktitle =    "{Numerical algorithms for modern parallel computer
                 architectures (Minneapolis, MN, 1986--87)}",
  title =        "Domain decomposition preconditioners for elliptic
                 problems in two and three dimensions",
  volume =       "13",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "163--171",
  year =         "1988",
  MRclass =      "65N50 (65W05)",
  MRnumber =     "950708",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "IMA Vol. Math. Appl.",
  acknowledgement = ack-nhfb,
}

@InCollection{Pierce:1988:TLP,
  author =       "D. J. Pierce and R. J. Plemmons",
  booktitle =    "{Linear algebra in signals, systems, and control
                 (Boston, MA, 1986)}",
  title =        "A two-level preconditioned conjugate gradient scheme",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "170--185",
  year =         "1988",
  MRclass =      "65F35",
  MRnumber =     "969792 (90c:65061)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Quarteroni:1988:DDP,
  author =       "Alfio Quarteroni and Giovanni Sacchi Landriani",
  title =        "Domain decomposition preconditioners for the spectral
                 collocation method",
  journal =      "J. Sci. Comput.",
  volume =       "3",
  number =       "1",
  pages =        "45--76",
  year =         "1988",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01066482",
  ISSN =         "0885-7474",
  MRclass =      "65N35",
  MRnumber =     "976320 (90d:65207)",
  MRreviewer =   "Bruce A. Finlayson",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@Article{Quarteroni:1988:PAC,
  author =       "A. Quarteroni and G. Sacchi Landriani",
  title =        "Parallel algorithms for the capacitance matrix method
                 in domain decompositions",
  journal =      j-CALCOLO,
  volume =       "25",
  number =       "1--2",
  pages =        "75--102",
  year =         "1988",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02575748",
  ISSN =         "0008-0624",
  MRclass =      "65N55",
  MRnumber =     "1053748 (92c:65149)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@Article{Raju:1988:FFD,
  author =       "K. V. S. V. N. Raju and Arun K. Majumdar",
  title =        "Fuzzy Functional Dependencies and Lossless Join
                 Decomposition of Fuzzy Relational Database Systems",
  journal =      j-TODS,
  volume =       "13",
  number =       "2",
  pages =        "129--166",
  month =        jun,
  year =         "1988",
  CODEN =        "ATDSD3",
  ISSN =         "0362-5915 (print), 1557-4644 (electronic)",
  bibdate =      "Sat Apr 14 10:34:48 MDT 2001",
  bibsource =    "Compendex database; Database/Graefe.bib;
                 Database/Wiederhold.bib; http://www.acm.org/pubs/toc/;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/tods.bib",
  URL =          "http://www.acm.org/pubs/articles/journals/tods/1988-13-2/p129-raju/p129-raju.pdf;
                 http://www.acm.org/pubs/citations/journals/tods/1988-13-2/p129-raju/;
                 http://www.acm.org/pubs/toc/Abstracts/tods/42344.html",
  abstract =     "This paper deals with the application of fuzzy logic
                 in a relational database environment with the objective
                 of capturing more meaning of the data. It is shown that
                 with suitable interpretations for the fuzzy membership
                 functions, a fuzzy relational data model can be used to
                 represent ambiguities in data values as well as
                 impreciseness in the association among them. Relational
                 operators for fuzzy relations have been studied, and
                 applicability of fuzzy logic in capturing integrity
                 constraints has been investigated. By introducing a
                 fuzzy resemblance measure EQUAL for comparing domain
                 values, the definition of classical functional
                 dependency has been generalized to fuzzy functional
                 dependency (ffd). The implication problem of ffds has
                 been examined and a set of sound and complete inference
                 axioms has been proposed. Next, the problem of lossless
                 join decomposition of fuzzy relations for a given set
                 of fuzzy functional dependencies is investigated. It is
                 proved that with a suitable restriction on EQUAL, the
                 design theory of a classical relational database with
                 functional dependencies can be extended to fuzzy
                 relations satisfying fuzzy functional dependencies.",
  acknowledgement = ack-nhfb,
  affiliation =  "Ahdhra Univ, Visakhapatnam, India",
  affiliationaddress = "Ahdhra Univ, Visakhapatnam, India",
  annote =       "Extend Armstrong's axioms to fuzzy domains. The
                 concept works out theoretically, but may not
                 necessarily agree with the intuition of the database
                 user. This paper is highly theoretical and notationally
                 intimidating. Yet worth to peruse.",
  classification = "723; 921",
  generalterms = "Design; Theory",
  keywords =     "database systems; fuzzy functional dependencies; fuzzy
                 relational database systems, design; lossless join
                 decomposition; mathematical techniques --- fuzzy sets;
                 relational; theory",
  subject =      "{\bf H.2.1}: Information Systems, DATABASE MANAGEMENT,
                 Logical Design. {\bf E.5}: Data, FILES. {\bf I.2.3}:
                 Computing Methodologies, ARTIFICIAL INTELLIGENCE,
                 Deduction and Theorem Proving, Uncertainty, ``fuzzy,''
                 and probabilistic reasoning.",
}

@TechReport{Scroggs:1988:SPP,
  author =       "Jeffrey Scott Scroggs",
  title =        "The solution of a parabolic partial differential
                 equation via domain decomposition: the synthesis of
                 asymptotic and numerical analysis",
  type =         "Technical Report",
  number =       "CSRD 791; UILU-ENG-88-8005",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "ix + 146",
  year =         "1988",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by the National Science Foundation.
                 Supported in part by the U.S. Department of Energy.
                 Supported in part by the Air Force Office of Scientific
                 Research.",
  keywords =     "Differential equations, Partial; Parallel programming
                 (Computer science)",
}

@InCollection{Temam:1988:SSF,
  author =       "Roger Temam",
  booktitle =    "{Finite elements (Hampton, VA, 1986)}",
  title =        "Survey of the status of finite element methods for
                 partial differential equations",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "1--33",
  year =         "1988",
  MRclass =      "65-02 (65M60 65N30)",
  MRnumber =     "964478 (89m:65003)",
  MRreviewer =   "I. Christie",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "ICASE/NASA LaRC Ser.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Tezduyar:1988:EEI,
  author =       "T. E. Tezduyar and J. Liou",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Element-by-element and implicit-explicit finite
                 element formulations for computational fluid dynamics",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Wait:1988:FEA,
  author =       "R. Wait and S. E. Audish and C. J. Willis",
  booktitle =    "{Numerical mathematics, Singapore 1988}",
  title =        "Finite element analysis on a highly parallel
                 multiprocessor architecture",
  volume =       "86",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "507--518",
  year =         "1988",
  MRclass =      "65W05",
  MRnumber =     "1022980 (90i:65263)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Internat. Schriftenreihe Numer. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Wait:1988:PPF,
  author =       "R. Wait",
  title =        "Partitioning and preconditioning of finite element
                 matrices on the {DAP}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "8",
  number =       "1--3",
  pages =        "275--284",
  month =        oct,
  year =         "1988",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  conflocation = "Liverpool, UK; 25-28 Aug. 1987",
  conftitle =    "International Conference on Vector and Parallel
                 Processors in Computational Science III",
  corpsource =   "Dept. of Stat. and Comput. Math., Liverpool Univ.,
                 UK",
  keywords =     "architectures; array; coarse grid smoothing; conjugate
                 gradient; DAP; domain decomposition; finite element
                 analysis; finite element matrices; iteration; linear
                 finite element equations; local memory; matrix algebra;
                 one-way dissection; parallel SIMD; partitioning;
                 preconditioning; processor; relaxation",
  sponsororg =   "US Army Eur. Res. Office",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Widlund:1988:CSD,
  author =       "Olof B. Widlund",
  title =        "A Comparison of Some Domain Decomposition and
                 Iterative Refinement Algorithms for Elliptic Finite
                 Element Problems",
  number =       "BSC 88/15",
  institution =  "IBM Bergen Scientific Centre",
  address =      "Thorm{\o}hlensgaten 55, N-5006 Bergen, Norway",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Widlund:1988:ISMa,
  author =       "Olof B. Widlund",
  booktitle =    "Computational Processes and Systems, 6",
  title =        "Iterative Substructuring Methods: {The} General
                 Elliptic Case",
  publisher =    pub-NAUKA,
  address =      pub-NAUKA:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceedings of Modern Problems in Numerical Analysis,
                 a conference held in Moscow, USSR, September 1986. In
                 Russian, also available from the author, in English.",
}

@InProceedings{Widlund:1988:ISMb,
  author =       "Olof B. Widlund",
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "{First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Paris,
                 1987)}",
  title =        "Iterative Substructuring Methods: {Algorithms} and
                 Theory for Elliptic Problems in the Plane",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "113--128",
  year =         "1988",
  MRclass =      "65N30",
  MRnumber =     "972514 (90c:65138)",
  MRreviewer =   "Mari{\'a}n Vajter{\v{s}}ic",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Aboulaich:1989:IMS,
  author =       "R. Aboula{\"{\i}}ch and M. Fortin",
  booktitle =    "{Proceedings of the Eighth International Conference on
                 Computing Methods in Applied Sciences and Engineering
                 (Versailles, 1987)}",
  title =        "Iterative methods for the solution of {Stokes}
                 equations",
  volume =       "75(1--3)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "317--324",
  year =         "1989",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(89)90032-7",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "76M10 (76D05)",
  MRnumber =     "1035754 (91a:76060)",
  MRreviewer =   "Timothy Nigel Phillips",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-COMPUT-METH-APPL-MECH-ENG,
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@InCollection{Agoshkov:1989:DDM,
  author =       "V. I. Agoshkov",
  booktitle =    "{Conjugate equations and perturbation algorithms in
                 problems of mathematical physics (Russian)}",
  title =        "Domain decomposition methods in problems of
                 mathematical physics",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "31--90",
  year =         "1989",
  MRclass =      "65M55 (65N55)",
  MRnumber =     "1704500",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Agoshkov:1989:SUA,
  editor =       "V. I. Agoshkov and V. P. Shutyaev",
  title =        "Sopryazhennye uravneniya i algoritmy vozmushchenii v
                 zadachakh matematicheskoi fiziki",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "206",
  year =         "1989",
  MRclass =      "00B15 (35-06 65-06)",
  MRnumber =     "1704498 (2000c:00022)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Anonymous:1989:MS,
  editor =       "Anonymous",
  title =        "Mathematical sciences",
  volume =       "32",
  publisher =    "Academia Sinica Institute of Mathematical Sciences",
  address =      "Chengdu, PRC",
  pages =        "19",
  year =         "1989",
  MRclass =      "65-06",
  MRnumber =     "1060956 (90m:65007)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Shuli Kexue [Mathematical Sciences. Research Reports
                 IMS]",
  acknowledgement = ack-nhfb,
}

@Article{Babuska:1989:PSS,
  author =       "Ivo Babu{\v{s}}ka and M. Griebel and J.
                 Pitk{\"{a}}ranta",
  title =        "The Problem of Selecting the Shape Functions for a
                 $p$-type Finite Element",
  journal =      j-INT-J-NUM-METH-ENG,
  volume =       "28",
  pages =        "1891--1908",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bernardi:1989:ARS,
  author =       "Christine Bernardi and Yvon Maday",
  title =        "Approximation results for spectral methods with domain
                 decomposition",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "1--2",
  pages =        "33--52",
  month =        dec,
  year =         "1989",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(89)90053-6",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N35 (65N55)",
  MRnumber =     "1045017 (91e:65135)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  note =         "Spectral multi-domain methods (Paris, 1988).",
  acknowledgement = ack-nhfb,
  affiliation =  "CNRS and Univ Pierre et Marie Curie",
  affiliationaddress = "Paris, Fr",
  classification = "921",
  conference =   "12th International Association for Mathematics and
                 Computation in Simulation (IMACS) World Congress on
                 Scientific Computation",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Domain Decomposition; Finite Element Method;
                 Mathematical Techniques--Approximation Theory;
                 Polynomial Approximation; Projection Operators;
                 Spectral Methods; Spectrum Analysis; Weighted Sobolev
                 Spaces",
  meetingaddress = "Paris, Fr",
  meetingdate =  "Jul 18--22 1988",
  meetingdate2 = "07/18--22/88",
}

@TechReport{Berry:1989:ADC,
  author =       "Michael Berry",
  title =        "Algorithmic design on the {CEDAR} multiprocessor",
  type =         "Technical Report",
  number =       "CSRD 851",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "33",
  month =        feb,
  year =         "1989",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "The CEDAR system under development in the Center for
                 Supercomputing Research and Development (CSRD) at the
                 University of Illinois at Urbana-Champaign is a
                 clustered shared-memory multiprocessor system which can
                 be used to support parallel processing for a wide range
                 of numerical and non-numerical applications. In this
                 paper. we survey selected algorithms and applications
                 for CEDAR which are under investigation by members of
                 the CSRD Applications Group. Topics include the design
                 of sparse basic linear algebra kernels, the Conjugate
                 Gradient method for linear systems of equations, direct
                 block tridiagonal linear system solvers, a domain
                 decomposition technique for structural mechanics,
                 boundary integral domain decomposition for partial
                 differential equations, parallel algorithms for circuit
                 simulation, and parallelization of a computer graphics
                 technique (ray tracing). Performance results on the
                 2-cluster CEDAR system, Alliant FX/8, and Cray X-MP/48
                 are presented.",
  acknowledgement = ack-nhfb,
  annote =       "To appear in Proc. of Fourth Int'l Conf. on
                 Supercomputing and Third World Computer Exhibition,
                 Santa Clara, CA, April 1989. Supported in part by
                 National Science Foundation. Supported in part by U.S.
                 Department of Energy.",
  keywords =     "Algorithms; Multiprocessors",
}

@InProceedings{Bjorstad:1989:MAS,
  author =       "Petter E. Bj{\o}rstad",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Multiplicative and Additive {Schwarz} Methods:
                 Convergence in the 2 domain case",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bjorstad:1989:OON,
  author =       "Petter E. Bj{\o}rstad and Olof B. Widlund",
  title =        "To Overlap or Not to Overlap: {A} Note on a Domain
                 Decomposition Method for Elliptic Problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "5",
  pages =        "1053--1061",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Boergers:1989:DDL,
  author =       "Christoph B{\"o}rgers and Olof B. Widlund",
  title =        "A Domain Decomposition {Laplace} Solver for Internal
                 Combustion Modeling",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "4",
  pages =        "211--226",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Boergers:1989:NDD,
  author =       "Christoph B{\"o}rgers",
  title =        "The {Neumann--Dirichlet} domain decomposition method
                 with inexact solvers on the subdomains",
  journal =      j-NUM-MATH,
  volume =       "55",
  pages =        "123--136",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Borgers:1989:DDL,
  author =       "Christoph B{\"o}rgers and Olof B. Widlund",
  title =        "A domain decomposition {Laplace} solver for internal
                 combustion engine modeling",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "2",
  pages =        "211--226",
  month =        mar,
  year =         "1989",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65N20 (65F10)",
  MRnumber =     "90f:65192",
  MRreviewer =   "M. M. Sussman",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C7440 (Civil and mechanical engineering)",
  corpsource =   "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
  keywords =     "algorithms; combustion engine modeling; convergence
                 analysis; convergence of numerical methods; domain
                 decomposition; elliptic problems; internal combustion
                 engine modeling; internal combustion engines; Laplace
                 solver; Laplace transforms; mechanical engineering
                 computing; multigrid cycles; standard software",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Borgers:1989:NDD,
  author =       "Christoph B{\"o}rgers",
  title =        "The {Neumann--Dirichlet} domain decomposition method
                 with inexact solvers on the subdomains",
  journal =      j-NUM-MATH,
  volume =       "55",
  number =       "2",
  pages =        "123--136",
  month =        may,
  year =         "1989",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N20 (65F10)",
  MRnumber =     "90f:65191",
  MRreviewer =   "G. Maess",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
  keywords =     "boundary-value problems; inexact solvers; iterative
                 method; iterative methods; linear elliptic boundary
                 value problems; Neumann--Dirichlet domain decomposition
                 method; subdomains",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Bourgat:1989:VFA,
  author =       "Jean-Fran\c{c}ois Bourgat and Roland Glowinski and
                 Patrick Le Tallec and Marina Vidrascu",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Variational Formulation and Algorithm for Trace
                 Operator in Domain Decomposition Calculations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bramble:1989:CPE,
  author =       "James H. Bramble and Joseph E. Pasciak and Alfred H.
                 Schatz",
  title =        "The construction of preconditioners for elliptic
                 problems by substructuring. {IV}",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "1--24",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65F35)",
  MRnumber =     "89m:65098",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4170 (Differential equations); C4180 (Integral
                 equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "algebraic system of; boundary-value problems;
                 condition number; discretization; domain decomposition;
                 elliptic boundary value problems; equations; parallel
                 computing architectures; preconditioned system;
                 preconditioners; substructuring; three-dimensional
                 Euclidean space",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Brezzi:1989:PDR,
  author =       "Franco Brezzi and Craig C. Douglas and L. Donatella
                 Marini",
  title =        "A parallel domain reduction method",
  journal =      j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
  volume =       "5",
  number =       "3",
  pages =        "195--202",
  year =         "1989",
  CODEN =        "NMPDEB",
  DOI =          "http://dx.doi.org/10.1002/num.1690050304",
  ISSN =         "0749-159X",
  MRclass =      "65N55",
  MRnumber =     "1107884 (92a:65324)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Methods for Partial Differential Equations.
                 An International Journal",
}

@InCollection{Buleev:1989:ISD,
  author =       "S. N. Buleev and V. I. Agoshkov",
  booktitle =    "{Conjugate equations and perturbation algorithms in
                 problems of mathematical physics (Russian)}",
  title =        "Investigation of some domain decomposition
                 algorithms",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "91--111",
  year =         "1989",
  MRclass =      "65N06 (65N38)",
  MRnumber =     "1704501",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Cai:1989:SDD,
  author =       "Xiao-Chuan Cai",
  title =        "Some Domain Decomposition Algorithms for
                 Nonselfadjoint Elliptic and Parabolic Partial
                 Differential Equations",
  school =       "Courant Institute of Mathematical Sciences",
  month =        sep,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 461, Department of Computer Science,
                 Courant Institute",
}

@InCollection{Chan:1989:DDA,
  author =       "Tony F. Chan",
  booktitle =    "{Vector and parallel computing (Troms\o, 1988)}",
  title =        "Domain decomposition algorithms and computational
                 fluid dynamics",
  publisher =    "Horwood",
  address =      "Chichester, UK",
  pages =        "65--82",
  year =         "1989",
  MRclass =      "65N55 (76M99)",
  MRnumber =     "1101638",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Ellis Horwood Ser. Comput. Appl.",
  acknowledgement = ack-nhfb,
}

@TechReport{Chan:1989:IPD,
  author =       "Tony F. Chan and David F. Keyes",
  title =        "Interface Preconditioning for Domain-Decomposed
                 Convection-Diffusion Operators",
  number =       "CAM 89-28",
  institution =  "Department of Mathematics, UCLA",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Chan:1989:SCD,
  author =       "Tony F. Chan and Danny Goovaerts",
  title =        "{Schur} complement domain decomposition algorithms for
                 spectral methods",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "1--2",
  pages =        "53--64",
  month =        dec,
  year =         "1989",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(89)90054-8",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N99",
  MRnumber =     "1045018 (91b:65137)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  note =         "Spectral multi-domain methods (Paris, 1988).",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of California",
  affiliationaddress = "Los Angeles, CA, USA",
  classification = "921",
  conference =   "12th International Association for Mathematics and
                 Computation in Simulation (IMACS) World Congress on
                 Scientific Computation",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Domain Decomposition; Mathematical
                 Techniques--Differential Equations; Parallel
                 Algorithms; Partial Differential Equations;
                 Preconditioned Conjugate Gradient; Spectral Element
                 Method; Spectral Methods; Spectrum Analysis",
  meetingaddress = "Paris, Fr",
  meetingdate =  "Jul 18--22 1988",
  meetingdate2 = "07/18--22/88",
}

@TechReport{Chen:1989:DDM,
  author =       "Hsin-Chu Chen and Ahmed Sameh",
  title =        "A domain decomposition method for {3D} elasticity
                 problems",
  type =         "Technical Report",
  number =       "CSRD 890",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "18",
  month =        sep,
  year =         "1989",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "The symmetric-and-antisymmetric (SAS) domain
                 decomposition method is a special matrix decomposition
                 scheme for certain classes of discretized physical
                 problems. This scheme decomposes the original problem
                 into independent or loosely coupled subproblems by
                 taking advantage of symmetry or partial symmetry. This
                 is achieved by exploiting important properties
                 possessed by two special classes of matrices A and B, A
                 and B [are elements of] C[superscript nxn], which
                 satisfy the relations A = PAP and B = - PBP where P is
                 some symmetric signed permutation matrix. In this paper
                 we present the application of the SAS decomposition
                 method to 3D isotropic elasticity problems using the
                 (preconditioned) conjugate gradient algorithm. The
                 method is first applied to problems with symmetric
                 domains and boundary conditions. We then extend its
                 application to general asymmetric problems by choosing
                 the preconditioner to be the stiffness matrix of some
                 symmetrically discretized substructure. This method is
                 not only superior to classical schemes on sequential
                 computers, but also lends itself to efficient
                 implementation on multiprocessors with several levels
                 of parallelism.",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by the U.S. Department of Energy.",
  keywords =     "Decomposition method; Symmetric domains",
}

@InCollection{Demaret:1989:NSS,
  author =       "P. Demaret and M. Deville and C. Schneidesch",
  booktitle =    "{Numerical and applied mathematics, Part II (Paris,
                 1988)}",
  title =        "{Navier--Stokes} solutions by spectral multi-domain
                 decomposition and finite element preconditioning:
                 application to thermal convection",
  volume =       "1",
  publisher =    "Baltzer",
  address =      "Basel, Switzerland",
  pages =        "725--727",
  year =         "1989",
  MRclass =      "65N99",
  MRnumber =     "1066079",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "IMACS Ann. Comput. Appl. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Demaret:1989:TCS,
  author =       "P. Demaret and M. O. Deville and C. Schneidesch",
  title =        "Thermal convection solutions by {Chebyshev}
                 pseudospectral multi-domain decomposition and finite
                 element preconditioning",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "1--2",
  pages =        "107--121",
  month =        dec,
  year =         "1989",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(89)90057-3",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "76-08 (65N99 76R10)",
  MRnumber =     "1 045 021",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  note =         "Spectral multi-domain methods (Paris, 1988).",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ Catholique de Louvain",
  affiliationaddress = "Louvain, Belg",
  classification = "641; 921",
  conference =   "12th International Association for Mathematics and
                 Computation in Simulation (IMACS) World Congress on
                 Scientific Computation",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Chebyshev Polynomials; Convection; Finite Element
                 Preconditioning; Galerkin Finite Element Technique;
                 Heat Transfer; Mathematical Techniques--Chebyshev
                 Approximation; Pseudospectral Multi-domain
                 Decomposition; Spectrum Analysis",
  meetingaddress = "Paris, Fr",
  meetingdate =  "Jul 18--22 1988",
  meetingdate2 = "07/18--22/88",
}

@InProceedings{Dong:1989:DPD,
  author =       "Guozhu Dong",
  title =        "On distributed processibility of datalog queries by
                 decomposing databases",
  crossref =     "Clifford:1989:PAS",
  pages =        "26--35",
  year =         "1989",
  bibdate =      "Wed Oct 25 12:40:13 MDT 2000",
  bibsource =    "http://www.acm.org/pubs/contents/proceedings/series/sigmod_pods/;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/pods.bib",
  URL =          "http://www.acm.org/pubs/articles/proceedings/mod/67544/p26-dong/p26-dong.pdf;
                 http://www.acm.org/pubs/citations/proceedings/mod/67544/p26-dong/",
  abstract =     "We consider distributed or parallel processing of
                 datalog queries. We address this issue by decomposing
                 databases into a number of subdatabases such that the
                 computation of a program on a database can be achieved
                 by {\em unioning its independent evaluations\/} on the
                 subdatabases. More specifically, we identify two kinds
                 of distributed-processable programs according to the
                 properties of database decomposition. (i) A program is
                 {\em disjoint distributive\/} if it is distributed
                 processable over a decomposition consisting of
                 subdatabases with disjoint domains. A characterization
                 of such programs is given in terms of an easily
                 decidable syntactic property called {\em connectivity}.
                 (ii) A program is {\em bounded distributive\/} if it is
                 distributed processable over a decomposition consisting
                 of subdatabases with a fixed size. Three interesting
                 characterizations of such a program are presented, the
                 first by bounded recursion, the second by equivalence
                 to a 1-bounded-recursive program, and the third by
                 constant parallel complexity",
  acknowledgement = ack-nhfb,
  generalterms = "Algorithms; Design",
  subject =      "Mathematics of Computing --- Numerical Analysis ---
                 General (G.1.0): {\bf Parallel algorithms}; Software
                 --- Programming Techniques --- Concurrent Programming
                 (D.1.3); Information Systems --- Database Management
                 --- Systems (H.2.4): {\bf Distributed databases};
                 Information Systems --- Database Management --- Systems
                 (H.2.4): {\bf Query processing}; Information Systems
                 --- Database Management --- Systems (H.2.4): {\bf
                 Concurrency}",
}

@InProceedings{Dryja:1989:ASA,
  author =       "Maksymilian Dryja",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "An Additive {Schwarz} Algorithm for Two- and
                 Three-Dimensional Finite Element Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Dryja:1989:OAI,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  booktitle =    "Proceedings of the Fourth Copper Mountain Conference
                 on Multigrid Methods",
  title =        "On the Optimality of an Additive Iterative Refinement
                 Method",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "161--170",
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Dryja:1989:SDD,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  editor =       "Linda Hayes and David Kincaid",
  booktitle =    "Iterative Methods for Large Linear Systems",
  title =        "Some Domain Decomposition Algorithms for Elliptic
                 Problems",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "273--291",
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceeding of the Conference on Iterative Methods for
                 Large Linear Systems held in Austin, Texas, October
                 19--21, 1988, to celebrate the sixty-fifth birthday of
                 David M. Young, Jr.",
}

@Article{Duff:1989:EOP,
  author =       "Iain S. Duff and G{\'e}rard A. Meurant",
  title =        "The effect of ordering on preconditioned conjugate
                 gradients",
  journal =      j-BIT,
  volume =       "29",
  number =       "4",
  pages =        "635--657",
  year =         "1989",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://dx.doi.org/10.1007/BF01932738",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F35",
  MRnumber =     "1038122 (91d:65064)",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
}

@InProceedings{Ewing:1989:DDT,
  author =       "Richard E. Ewing",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Domain Decomposition Techniques for Efficient Adaptive
                 Local Grid Refinement",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Ewing:1989:PCG,
  author =       "Richard E. Ewing",
  title =        "Preconditioned conjugate gradient methods for
                 large-scale fluid flow applications",
  journal =      j-BIT,
  volume =       "29",
  number =       "4",
  pages =        "850--866",
  year =         "1989",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://dx.doi.org/10.1007/BF01932749",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F10 (65N55 76M25)",
  MRnumber =     "1038133 (91d:65052)",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
}

@Article{Gazdag:1989:CCS,
  author =       "J. Gazdag and H.-H. Wang",
  title =        "Concurrent computing by sequential staging of tasks",
  journal =      j-IBM-SYS-J,
  volume =       "28",
  number =       "4",
  pages =        "646--660",
  year =         "1989",
  CODEN =        "IBMSA7",
  ISSN =         "0018-8670",
  bibdate =      "Tue Mar 19 17:38:46 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/ibmsysj.bib",
  abstract =     "Described is a new approach to parallel formulation of
                 scientific problems on shared-memory multiprocessors
                 such as the IBM ES/3090 system. The class of problems
                 considered is characterized by repetitive operations
                 applied over the computational domain D. In each such
                 operation, some fields of interest are extrapolated or
                 advanced by an amount of Delta tau. The integration
                 variable tau may be time, distance, or iteration
                 sequence number, depending on the problem under
                 consideration. An extensively studied approach to
                 parallel formulation of such computational problems is
                 based on domain decomposition, which attempts to
                 partition the domain of integration into many pieces,
                 then construct the global solution from these local
                 solutions. Thus, domain decomposition methods are
                 confined to D alone at a single tau level. An inquiry
                 into the possibilities of formulating parallel tasks in
                 tau, or more significantly in the D* tau domain, opens
                 up new horizons and untapped opportunities. The aim of
                 this paper is to detail an approach to exploit this tau
                 domain parallelism that will be referred to as
                 sequential staging of tasks (SST). Concurrency is
                 realized by means of ordering the tasks sequentially
                 and executing them in a partially overlapped or
                 pipelined manner. The SST approach can yield remarkable
                 speedup for jobs requiring intensive paging I/O, even
                 when a single processor is available for executing
                 multiple tasks. Noteworthy features of the SST method
                 are demonstrated and highlighted by using results
                 obtained from computer experiments performed with a
                 numerical solution method of the Poisson equation and
                 migration of seismic reflection data.",
  acknowledgement = ack-nhfb,
  affiliation =  "IBM Palo Alto Sci. Centre, CA, USA",
  classification = "C5440 (Multiprocessor systems and techniques)",
  keywords =     "Computational domain; Concurrent computing; Domain
                 decomposition; IBM ES/3090 system; Integration
                 variable; Numerical solution method; Parallel tasks;
                 Partially overlapped tasks; Pipeline execution; Poisson
                 equation; Repetitive operations; Scientific problems;
                 Seismic reflection data; Sequential task staging;
                 Shared-memory multiprocessors; Speedup",
  language =     "English",
  pubcountry =   "USA",
  thesaurus =    "Parallel processing; Pipeline processing",
}

@Book{Golub:1989:MC,
  author =       "Gene H. Golub and Charles F. Van Loan",
  title =        "Matrix Computations",
  publisher =    pub-JH,
  address =      pub-JH:adr,
  edition =      "Second",
  pages =        "xix + 642",
  year =         "1989",
  ISBN =         "0-8018-3772-3 (hardcover), 0-8018-3739-1 (paperback)",
  ISBN-13 =      "978-0-8018-3772-2 (hardcover), 978-0-8018-3739-5
                 (paperback)",
  LCCN =         "QA188 .G65 1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Gottlieb:1989:PPD,
  author =       "David Gottlieb and Richard S. Hirsh",
  title =        "Parallel pseudospectral domain decomposition
                 techniques",
  journal =      "J. Sci. Comput.",
  volume =       "4",
  number =       "4",
  pages =        "309--325",
  year =         "1989",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01060991",
  ISSN =         "0885-7474",
  MRclass =      "65N55 (65L60)",
  MRnumber =     "1055280 (91f:65192)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@Article{Greenbaum:1989:CLS,
  author =       "Anne Greenbaum and Congming Li and Han Zheng Chao",
  title =        "Comparison of linear system solvers applied to
                 diffusion-type finite element equations",
  journal =      j-NUM-MATH,
  volume =       "56",
  number =       "6",
  pages =        "529--546",
  month =        dec,
  year =         "1989",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01396343",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "1024011 (90k:65096)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C1110 (Algebra); C4130 (Interpolation and function
                 approximation); C4140 (Linear algebra)",
  corpsource =   "Courant Inst. of Math. Sci., New York Univ., NY, USA",
  fjournal =     "Numerische Mathematik",
  keywords =     "approximation theory; diagonal scaling; diffusion-type
                 finite element equations; finite element analysis;
                 finite element approximations; hierarchical basis
                 functions; incomplete Cholesky decomposition; iterative
                 methods; linear algebra; linear system solvers;
                 Neumann--Dirichlet domain decomposition; parallel
                 architectures; parallel machines; performance;
                 preconditioned conjugate gradient methods;
                 preconditioner; self-adjoint elliptic differential
                 operators; serial architectures; serial machines",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Greenbaum:1989:PPC,
  author =       "Anne Greenbaum and Congming Li and Zheng Chao Han",
  title =        "Parallelizing Preconditioned Conjugate Gradient
                 Algorithms",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  pages =        "295--309",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Gropp:1989:DDP,
  author =       "William D. Gropp and David E. Keyes",
  title =        "Domain Decomposition on Parallel Computers",
  journal =      j-IMP-COMP-SCI-ENG,
  volume =       "1",
  pages =        "421--439",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Ilin:1989:PSM,
  editor =       "V. P. Il{\cprime}in",
  title =        "Proektsionno-setochnye metody v zadachakh chislennogo
                 analiza",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "176",
  year =         "1989",
  MRclass =      "65-06",
  MRnumber =     "1140729 (92f:65010)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Keyes:1989:DDL,
  author =       "David E. Keyes and William D. Gropp",
  title =        "Domain Decomposition with Local Mesh refinement",
  number =       "YALEU/DCS/RR-726",
  institution =  "Yale University",
  month =        aug,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Keyes:1989:DDT,
  author =       "David E. Keyes and William D. Gropp and Ali Ecder",
  booktitle =    "{Solution of superlarge problems in computational
                 mechanics (Mystic, CT, 1988)}",
  title =        "Domain decomposition techniques for large sparse
                 nonsymmetric systems arising from elliptic problems
                 with first-order terms",
  publisher =    "Plenum",
  address =      "New York, NY, USA",
  pages =        "251--266",
  year =         "1989",
  MRclass =      "65N55 (65F50 65Y05)",
  MRnumber =     "1058270 (91g:65262)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Kolotilina:1989:BSP,
  author =       "L. Yu. Kolotilina and A. Yu. Yeremin",
  title =        "Block {SSOR} preconditionings for high order {$3$D FE}
                 systems",
  journal =      j-BIT,
  volume =       "29",
  number =       "4",
  pages =        "805--823",
  year =         "1989",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "91d:65054",
  MRreviewer =   "Beny Neta",
  bibdate =      "Fri Nov 13 11:52:23 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kopriva:1989:DDB,
  author =       "David A. Kopriva",
  title =        "Domain decomposition with both spectral and finite
                 difference methods for the accurate computation of
                 flows with shocks",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "1--2",
  pages =        "141--151",
  month =        dec,
  year =         "1989",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(89)90059-7",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "76-08 (65N99)",
  MRnumber =     "1 045 022",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  note =         "Spectral multi-domain methods (Paris, 1988).",
  acknowledgement = ack-nhfb,
  affiliation =  "Florida State Univ",
  affiliationaddress = "Tallahassee, FL, USA",
  classification = "631; 921",
  conference =   "12th International Association for Mathematics and
                 Computation in Simulation (IMACS) World Congress on
                 Scientific Computation",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Domain Decomposition; Flow of Fluids--Nozzles; Gas
                 Dynamics; Laval Nozzle; Mathematical Techniques--Finite
                 Difference Method; Spectrum Analysis; Steady Shocked
                 Flow",
  meetingaddress = "Paris, Fr",
  meetingdate =  "Jul 18--22 1988",
  meetingdate2 = "07/18--22/88",
}

@Article{Kuznetsov:1989:AMD,
  author =       "Yu. A. Kuznetsov",
  title =        "Algebraic multigrid domain decomposition methods",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "4",
  number =       "5",
  pages =        "351--379",
  year =         "1989",
  ISSN =         "0169-2895",
  MRclass =      "65N50 (65F10)",
  MRnumber =     "1026910 (90j:65140)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@InCollection{Kuznetsov:1989:DDM,
  author =       "S. B. Kuznetsov",
  booktitle =    "{Projection-difference methods in problems of
                 numerical analysis (Russian)}",
  title =        "The domain decomposition method in three-dimensional
                 problems of magnetostatics",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "91--108",
  year =         "1989",
  MRclass =      "78-08 (65N55 78A30)",
  MRnumber =     "1140735",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Kuznetsov:1989:MDDa,
  author =       "Yu. A. Kuznetsov",
  booktitle =    "{Proceedings of the Eighth International Conference on
                 Computing Methods in Applied Sciences and Engineering
                 (Versailles, 1987)}",
  title =        "Multigrid domain decomposition methods for elliptic
                 problems",
  volume =       "75(1--3)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "185--193",
  year =         "1989",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(89)90023-6",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "65N55",
  MRnumber =     "1035752 (91k:65154)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-COMPUT-METH-APPL-MECH-ENG,
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@InProceedings{Kuznetsov:1989:MDDb,
  author =       "S. B. Kuznetsov",
  booktitle =    "{Proceedings of the Fifth International Symposium on
                 Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne,
                 1989)}",
  title =        "Method of domain decomposition in {$3$-D} problems of
                 magnetostatics",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "571--577",
  year =         "1989",
  MRclass =      "78-08 (78A30)",
  MRnumber =     "1052970",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Kuznetsov:1989:MDDc,
  author =       "Yuri A. Kuznetsov",
  title =        "Multilevel Domain Decomposition Methods",
  journal =      j-APP-NUM-MATH,
  volume =       "5",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Book{Kuznetsov:1989:MMD,
  author =       "Yu. A. Kuznetsov and G. K. Osorgin",
  title =        "Mnogosetochnyi metod dlya trekhmernoi zadachi teorii
                 uprugosti",
  volume =       "240",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, USSR",
  pages =        "28",
  year =         "1989",
  MRclass =      "73V20 (73C02 73V05)",
  MRnumber =     "1086168 (91i:73047)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Book{Lapin:1989:MDO,
  author =       "A. V. Lapin",
  title =        "Metod dekompozitsii oblasti dlya setochnoi
                 approksimatsii dvukhfaznoi zadachi {Stefana}",
  volume =       "856",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "29",
  year =         "1989",
  MRclass =      "65N55",
  MRnumber =     "1070717 (91m:65297)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Article{Liang:1989:NDD,
  author =       "Guo Ping Liang and Ping Liang",
  title =        "Nonconforming domain decomposition with the hybrid
                 finite element method",
  journal =      "Math. Numer. Sinica",
  volume =       "11",
  number =       "3",
  pages =        "323--332",
  year =         "1989",
  ISSN =         "0254-7791",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1037456 (91d:65188)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Numerica Sinica. Jisuan Shuxue",
}

@InProceedings{Lions:1989:SAM,
  author =       "Pierre Louis Lions",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "On the {Schwarz} alternating method. {II}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Lu:1989:PAV,
  author =       "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih",
  booktitle =    "{Mathematical sciences}",
  title =        "Parallel algorithms for variational inequalities based
                 on domain decomposition",
  volume =       "32(2)",
  publisher =    "Acad. Sinica Inst. Math.",
  address =      "Chengdu, PRC",
  pages =        "11",
  year =         "1989",
  MRclass =      "65K05 (65N55)",
  MRnumber =     "1060958 (91f:65124)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Math. Sci. Res. Rep. IMS",
  acknowledgement = ack-nhfb,
}

@InCollection{Lu:1989:SDD,
  author =       "Tao L{\"u} and Tsi Min Shih and Chin Bo Liem",
  booktitle =    "{Mathematical sciences}",
  title =        "A synchronous domain decomposition method with an
                 estimate of convergence rate",
  volume =       "32(1)",
  publisher =    "Acad. Sinica Inst. Math.",
  address =      "Chengdu, PRC",
  pages =        "8",
  year =         "1989",
  MRclass =      "65N55",
  MRnumber =     "1060957 (91g:65265)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Math. Sci. Res. Rep. IMS",
  acknowledgement = ack-nhfb,
}

@TechReport{Mandel:1989:BDS,
  author =       "Jan Mandel",
  title =        "On Block Diagonal and {Schur} Complement
                 Preconditioning",
  institution =  "Computational Mathematics Group, University of
                 Colorado at Denver",
  month =        nov,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Mandel:1989:EDD,
  author =       "Jan Mandel",
  title =        "Efficient Domain Decomposition Preconditioning for the
                 p-version Finite Element Method in Three Dimensions",
  institution =  "Computational Mathematics Group, University of
                 Colorado at Denver",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Mandel:1989:ISEa,
  author =       "Jan Mandel and Steve McCormick",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Iterative Solution of Elliptic Equations with
                 Refinement: {The} Two-Level Case",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Mandel:1989:ISEb,
  author =       "Jan Mandel and Steve McCormick",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Iterative Solution of Elliptic Equations with
                 Refinement: The Model Multi-Level Case",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Book{Marchuk:1989:DDM,
  editor =       "G. I. Marchuk",
  title =        "Domain decomposition methods",
  publisher =    "VSP",
  address =      "Zeist, The Netherlands",
  pages =        "431--533",
  year =         "1989",
  ISSN =         "0169-2895",
  MRclass =      "65-06 (01A12)",
  MRnumber =     "1045004 (90j:65005)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Selected translations, Soviet J. Numer. Anal. Math.
                 Modelling {{\bf{4}}} (1989), no. 6",
  acknowledgement = ack-nhfb,
}

@Book{Marchuk:1989:MVM,
  author =       "G. I. Marchuk",
  title =        "Metody vychislitelnoi matematiki",
  publisher =    "Nauka",
  address =      "Moscow, Russia",
  edition =      "Third",
  pages =        "608",
  year =         "1989",
  ISBN =         "5-02-014222-0",
  ISBN-13 =      "978-5-02-014222-0",
  MRclass =      "65-01",
  MRnumber =     "1043176 (91h:65002)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Marini:1989:RPD,
  author =       "L. D. Marini and A. Quarteroni",
  title =        "A relaxation procedure for domain decomposition
                 methods using finite elements",
  journal =      j-NUM-MATH,
  volume =       "55",
  number =       "5",
  pages =        "575--598",
  month =        aug,
  year =         "1989",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N30",
  MRnumber =     "90g:65150",
  MRreviewer =   "David F. Griffiths",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classification = "A4710 (General theory, simulation and other
                 computational methods); B0290F (Interpolation and
                 function approximation); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Istituto di Analisi Numerica, CNR, Pavia, Italy",
  keywords =     "automatic selection; convergence analysis; convergence
                 of numerical methods; domain decomposition methods;
                 elliptic equations; finite element analysis; finite
                 elements; flow; incompressible Stokes equations;
                 iterative methods; iterative procedure; relaxation
                 procedure; subdomains; transmission conditions",
  treatment =    "T Theoretical or Mathematical",
}

@PhdThesis{Mathew:1989:DDI,
  author =       "Tarek P. Mathew",
  title =        "Domain Decomposition and Iterative Refinement Methods
                 for Mixed Finite Element Discretisations of Elliptic
                 Problems",
  school =       "Courant Institute of Mathematical Sciences",
  month =        sep,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 463, Department of Computer Science,
                 Courant Institute",
}

@Article{Matsokin:1989:UBM,
  author =       "A. M. Matsokin and S. V. Nepomnyaschikh",
  title =        "On using the bordering method for solving systems of
                 mesh equations",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "4",
  number =       "6",
  pages =        "487--492",
  year =         "1989",
  ISSN =         "0169-2895",
  MRclass =      "65N22",
  MRnumber =     "1045005 (91d:65161)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Domain decomposition methods",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Book{McCormick:1989:MAM,
  author =       "Stephen F. McCormick",
  title =        "Multilevel Adaptive Methods for Partial Differential
                 Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "ix + 162",
  year =         "1989",
  ISBN =         "0-89871-247-5",
  ISBN-13 =      "978-0-89871-247-6",
  LCCN =         "QA377 .M32 1989",
  bibdate =      "Mon Jul 11 12:54:12 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{McCormick:1989:MAS,
  author =       "Steve McCormick",
  booktitle =    "{Proceedings of the Fifth International Symposium on
                 Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne,
                 1989)}",
  title =        "Multilevel adaptive schemes and domain decomposition
                 methods",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "245--252",
  year =         "1989",
  MRclass =      "65N50",
  MRnumber =     "1052958",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Meurant:1989:DDM,
  author =       "G{\'e}rard Meurant",
  booktitle =    "{Vector and parallel computing (Troms\o, 1988)}",
  title =        "Domain decomposition methods for partial differential
                 equations on parallel computers",
  publisher =    "Horwood",
  address =      "Chichester, UK",
  pages =        "241--253",
  year =         "1989",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1101640",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Ellis Horwood Ser. Comput. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Mroz:1989:DDM,
  author =       "Monika Mr{\'o}z",
  title =        "Domain decomposition method for elliptic mixed
                 boundary value problems",
  journal =      j-COMPUTING,
  volume =       "42",
  number =       "1",
  pages =        "45--59",
  year =         "1989",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65N20 (65F10)",
  MRnumber =     "90g:65137",
  MRreviewer =   "H. R. Schwarz",
  bibdate =      "Mon Oct 11 20:38:38 MDT 1999",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Ong:1989:HBP,
  author =       "M. E. G. Ong",
  title =        "Hierarchical Basis Preconditioners for Second Order
                 Elliptic Problems in Three Dimensions",
  number =       "89--3",
  institution =  "Dept. of Applied Math. University of Washington,
                 Seattle",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Oswald:1989:EHB,
  author =       "Peter Oswald",
  title =        "On estimates for hierarchic basis representations of
                 finite element functions",
  number =       "N/89/16",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Oswald:1989:IHS,
  author =       "Peter Oswald",
  title =        "On ${C}^1$ interpolating hierarchical spline bases",
  number =       "N/89/16",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Papamichael:1989:NCM,
  author =       "N. Papamichael",
  booktitle =    "{Proceedings of the 3rd International Congress on
                 Computational and Applied Mathematics (Leuven, 1988)}",
  title =        "Numerical conformal mapping onto a rectangle with
                 applications to the solution of {Laplacian} problems",
  volume =       "28 (special issue)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "63--83",
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(89)90321-X",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "30C30",
  MRnumber =     "1038832 (90m:30011)",
  MRreviewer =   "D. Gaier",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-J-COMP-APPL-MATH,
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
}

@InProceedings{Quarteroni:1989:DDA,
  author =       "Alfio Quarteroni",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Domain Decomposition Algorithms for the {Stokes}
                 Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Quarteroni:1989:ISN,
  author =       "A. Quarteroni and G. Sacchi Landriani",
  booktitle =    "{Applications of mathematics in industry and
                 technology (Siena, 1988)}",
  title =        "Iteration by subdomains in numerical fluid dynamics",
  publisher =    pub-TEUBNER,
  address =      pub-TEUBNER:adr,
  pages =        "54--76",
  year =         "1989",
  MRclass =      "76M10 (65N99 76D07 76M25)",
  MRnumber =     "1079943 (91k:76111)",
  MRreviewer =   "Timothy Nigel Phillips",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Rodrigue:1989:CCA,
  author =       "Garry Rodrigue and Li Shan Kang and Yu Hui Liu",
  title =        "Convergence and comparison analysis of some numerical
                 {Schwarz} methods",
  journal =      j-NUM-MATH,
  volume =       "56",
  number =       "2--3",
  pages =        "123--138",
  month =        oct,
  year =         "1989",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01409781",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N50",
  MRnumber =     "1018297 (90k:65182)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C1110 (Algebra); C1120 (Analysis); C4130
                 (Interpolation and function approximation); C4140
                 (Linear algebra); C4170 (Differential equations)",
  corpsource =   "California Univ., Davis, CA, USA",
  fjournal =     "Numerische Mathematik",
  keywords =     "approximation theory; block Gauss-Siedel methods;
                 block Jacobi methods; comparison analysis; convergence
                 analysis; convergence behavior; convergence of
                 numerical methods; domain decomposition methods;
                 elliptic equations; inner-outer iterative procedure;
                 iterative methods; M-matrix analysis; matrix algebra;
                 multi-processors; numerical Schwarz methods; partial
                 differential equations; subdomain approximations;
                 subdomain iteration procedures",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Roeck:1989:LPD,
  author =       "Yann-Herv{\'e} De Roeck",
  title =        "A local preconditioner in a domain-decomposed method",
  number =       "TR89/10",
  institution =  "Centre Europ{\'e}en de Recherche et de Formation
                 Avanc{\'e}e en Calcul Scientifique",
  address =      "Toulouse, France",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Rogers:1989:PDT,
  author =       "Anne Rogers and Keshav Pingali",
  title =        "Process decomposition through locality of reference",
  journal =      j-SIGPLAN,
  volume =       "24",
  number =       "7",
  pages =        "69--80",
  month =        jul,
  year =         "1989",
  CODEN =        "SINODQ",
  ISSN =         "0362-1340 (print), 1523-2867 (print), 1558-1160
                 (electronic)",
  ISSN-L =       "0362-1340",
  bibdate =      "Sun Dec 14 09:15:41 MST 2003",
  bibsource =    "http://portal.acm.org/;
                 http://www.acm.org/pubs/contents/proceedings/pldi/73141/index.html;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/sigplan1980.bib",
  URL =          "http://www.acm.org:80/pubs/citations/proceedings/pldi/73141/p69-rogers/",
  abstract =     "In the context of sequential computers, it is common
                 practice to exploit temporal locality of reference
                 through devices such as caches and virtual memory. In
                 the context of multiprocessors, we believe that it is
                 equally important to exploit spatial locality of
                 reference. We are developing a system which, given a
                 sequential program and its domain decomposition,
                 performs process decomposition so as to enhance spatial
                 locality of reference. We describe an application of
                 this method --- generating code from shared-memory
                 programs for the (distributed memory) Intel iPSC/2.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Ithaca, NY, USA",
  annote =       "Published as part of the Proceedings of PLDI'89.",
  classification = "722; 723",
  conference =   "Proceedings of the SIGPLAN '89 Conference on
                 Programming Language Design and Implementation",
  journalabr =   "SIGPLAN Not",
  keywords =     "algorithms; Computer Operating Systems--Program
                 Compilers; Computer Programming Languages; Computer
                 Systems Programming--Multiprocessing Programs; Design;
                 design; Optimizing Compilers; performance; Process
                 Decomposition",
  meetingaddress = "Portland, OR, USA",
  meetingdate =  "Jun 21--23 1989",
  meetingdate2 = "06/21--23/89",
  sponsor =      "ACM, Special Interest Group on Programming Languages,
                 New York; SS NY, USA",
  subject =      "{\bf D.1.4} Software, PROGRAMMING TECHNIQUES,
                 Sequential Programming. {\bf D.1.1} Software,
                 PROGRAMMING TECHNIQUES, Applicative (Functional)
                 Programming. {\bf D.4.1} Software, OPERATING SYSTEMS,
                 Process Management,
                 Multiprocessing/multiprogramming/multitasking.",
}

@InCollection{Shakib:1989:EEA,
  author =       "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k
                 Johan",
  booktitle =    "{Solution of superlarge problems in computational
                 mechanics (Mystic, CT, 1988)}",
  title =        "Element-by-element algorithms for nonsymmetric matrix
                 problems arising in fluids",
  publisher =    "Plenum",
  address =      "New York, NY, USA",
  pages =        "1--33",
  year =         "1989",
  MRclass =      "65F10 (65N55 76M10)",
  MRnumber =     "1058262 (91f:65070)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Shakib:1989:MEG,
  author =       "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k
                 Johan",
  booktitle =    "{Proceedings of the Eighth International Conference on
                 Computing Methods in Applied Sciences and Engineering
                 (Versailles, 1987)}",
  title =        "A multi-element group preconditioned {GMRES} algorithm
                 for nonsymmetric systems arising in finite element
                 analysis",
  volume =       "75(1--3)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "415--456",
  year =         "1989",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(89)90040-6",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "76M10 (76-04)",
  MRnumber =     "1035757 (91a:76065)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-COMPUT-METH-APPL-MECH-ENG,
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@Article{Smelov:1989:FIP,
  author =       "V. V. Smelov",
  title =        "Formulation of the iterative process on subdomains for
                 transport theory problems in odd
                 {$P_{2N+1}$}-approximation",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "4",
  number =       "6",
  pages =        "507--521",
  year =         "1989",
  ISSN =         "0169-2895",
  MRclass =      "82D75 (65N22)",
  MRnumber =     "1045006 (91c:82083)",
  MRreviewer =   "B. Kellogg",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Domain decomposition methods",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Succi:1989:FCP,
  author =       "Sauro Succi and Maurizio Benassi",
  title =        "A four-color parallel algorithm for the solution of a
                 two-dimensional advection-diffusion equation with the
                 finite element method",
  journal =      "J. Sci. Comput.",
  volume =       "4",
  number =       "1",
  pages =        "61--70",
  year =         "1989",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01061266",
  ISSN =         "0885-7474",
  MRclass =      "65W05 (65N30)",
  MRnumber =     "1028924 (90i:65262)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@InProceedings{Widlund:1989:ISE,
  author =       "Olof B. Widlund",
  editor =       "T. J. Chung and G. R. Karr",
  booktitle =    "Finite Element Analysis in Fluids",
  title =        "Iterative Solution of Elliptic Finite Element Problems
                 on Locally Refined Meshes",
  publisher =    pub-U-ALABAMA,
  address =      pub-U-ALABAMA:adr,
  pages =        "462--467",
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceeding of the 7th International Conference on
                 Finite Element Methods in Flow Problems held in
                 Huntsville, Alabama, April 3 -- 7, 1989.",
}

@InProceedings{Widlund:1989:OIR,
  author =       "Olof B. Widlund",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Domain Decomposition Methods",
  title =        "Optimal Iterative Refinement Methods",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Widlund:1989:RCC,
  author =       "Olof B. Widlund",
  title =        "On the Rate of Convergence of the Classical {Schwarz}
                 Alternating Method in the Case of more than Two
                 Subregions",
  institution =  "Department of Computer Science, Courant Institute",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "A revised version in preparation",
}

@Article{Widlund:1989:SDD,
  author =       "Olof B. Widlund",
  title =        "Some Domain Decomposition and Iterative Refinement
                 Algorithms for Elliptic Finite Element Problems",
  journal =      j-J-COMP-MATH,
  volume =       "7",
  number =       "2",
  pages =        "200--208",
  year =         "1989",
  CODEN =        "JCMMEB",
  ISSN =         "0254-9409",
  MRclass =      "65N30",
  MRnumber =     "1016840 (90m:65204)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Proceedings of the China - U. S. Seminar on Boundary
                 Integral Equations and Boundary Element Methods in
                 Physics and Engineering, held at the Xi'an Jiaotong
                 University, Xi'an, The People's Republic of China,
                 December 27, 1987 - January 1, 1988.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Mathematics. An International
                 Journal on Numerical Methods, Analysis and
                 Applications",
  xxjournal =    j-COMP-MATH,
}

@InProceedings{Wu:1989:DDT,
  author =       "Chang Hui Wu and Song Wang",
  booktitle =    "{Proceedings of the 3rd International Congress on
                 Computational and Applied Mathematics (Leuven, 1988)}",
  title =        "Domain decomposition technique for the continuity
                 equations of semiconductor device models",
  volume =       "28 (special issue)",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "403--412",
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(89)90351-8",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "65N50",
  MRnumber =     "1038860",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-J-COMP-APPL-MATH,
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
}

@PhdThesis{Xu:1989:TMM,
  author =       "Jinchao Xu",
  title =        "Theory of Multilevel Methods",
  school =       "Cornell University",
  month =        may,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Zampieri:1989:IMD,
  author =       "E. Zampieri",
  title =        "Iterative methods for domain decomposition using
                 spectral tau and collocation approximation",
  journal =      j-CALCOLO,
  volume =       "26",
  number =       "1",
  pages =        "61--91",
  year =         "1989",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02576507",
  ISSN =         "0008-0624",
  MRclass =      "65N35",
  MRnumber =     "1053308 (91f:65180)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@InCollection{Abdulaev:1990:DDM,
  author =       "G. S. Abdulaev and Yu. A. Kuznetsov",
  booktitle =    "{Numerical methods and software (Russian)}",
  title =        "The domain decomposition method for nonstationary
                 semiconductor equations",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "4--14",
  year =         "1990",
  MRclass =      "65M55 (65M60 65N55)",
  MRnumber =     "1108843 (92c:65107)",
  MRreviewer =   "Bernd Heinrich",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Agoshkov:1990:ASD,
  author =       "V. I. Agoshkov",
  booktitle =    "{Conjugate equations in problems of mathematical
                 physics (Russian)}",
  title =        "The application of some of domain decomposition
                 methods to nonstationary problems and to problems with
                 small parameter",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "133--149",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1156975",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Agoshkov:1990:GSA,
  author =       "V. I. Agoshkov and V. I. Lebedev",
  title =        "Generalized {Schwartz} algorithm with variable
                 parameters [translation of {Preprint} 19, {Akad}.\
                 {Nauk SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow},
                 1981]",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "5",
  number =       "1",
  pages =        "1--26",
  year =         "1990",
  ISSN =         "0169-2895",
  MRclass =      "65N55",
  MRnumber =     "1124933 (92j:65190)",
  MRreviewer =   "Relja Vulanovi{\'c}",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Book{Agoshkov:1990:MRO,
  author =       "V. I. Agoshkov",
  title =        "Metod razdeleniya oblasti: nekotorye rezultaty teorii
                 i prilozhenii",
  volume =       "257",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "40",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1115300 (92d:65209)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "With an English summary",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Book{Agoshkov:1990:SUV,
  editor =       "V. I. Agoshkov and V. P. Shutyaev",
  title =        "Sopryazhennye uravneniya v zadachakh matematicheskoi
                 fiziki",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "150",
  year =         "1990",
  MRclass =      "00B15",
  MRnumber =     "1156969 (92m:00024)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Agoshkov:1990:VAD,
  author =       "V. I. Agoshkov and V. I. Lebedev",
  title =        "Variational algorithms of the domain decomposition
                 method [translation of {Preprint} 54, {Akad}.\ {Nauk
                 SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow}, 1983]",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "5",
  number =       "1",
  pages =        "27--46",
  year =         "1990",
  ISSN =         "0169-2895",
  MRclass =      "65N55 (65K10)",
  MRnumber =     "1124934 (92j:65191)",
  MRreviewer =   "Relja Vulanovi{\'c}",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Book{Anonymous:1990:SJN,
  editor =       "Anonymous",
  title =        "{Soviet Journal of Numerical Analysis and Mathematical
                 Modelling}",
  publisher =    "VSP",
  address =      "Zeist, The Netherlands",
  pages =        "1--90",
  year =         "1990",
  ISSN =         "0169-2895",
  MRclass =      "65-06 (00B50)",
  MRnumber =     "1124932 (92d:65011)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Selected translations, Soviet J. Numer. Anal. Math.
                 Modelling {{\bf{5}}} (1990), no. 1",
  acknowledgement = ack-nhfb,
}

@TechReport{Baber:1990:HAD,
  author =       "Marc Baber",
  title =        "Hypertasking: automatic data parallel domain
                 decomposition on the {Intel} parallel supercomputer",
  type =         "Technical report",
  number =       "CS/E 90-006",
  institution =  "Oregon Graduate Institute of Science and Technology,
                 Dept. of Computer Science and Engineering",
  address =      "Beaverton, OR",
  pages =        "16",
  month =        may,
  year =         "1990",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "Many nearest neighbor data parallel problems share a
                 similar domain decomposition strategy for hypercube
                 architectures. That strategy is to map sub-blocks, or
                 grains, of each array variable to the available nodes
                 in a manner that matches the hypercube topology to the
                 geometry of the underlying problem, maximizing locality
                 of reference and minimizing message passing overhead.
                 Each node then applies the same algorithm used in the
                 original sequential code to its subset of the data,
                 synchronizing with its neighbors as necessary. This
                 paper describes a domain decomposition tool that
                 accepts a sequential C program with comment directives
                 as input, and produces a new SPMD (Single Program
                 Multiple Data) C program which can be run on a
                 hypercube of any size. Directives allow the user to
                 mark certain arrays to become distributed memory
                 virtual arrays, to limit loops to indices that refer to
                 the local sub-block of an array, and to cause exchanges
                 of boundary values to occur between nodes. The
                 preprocessor approach maintains code portability and is
                 similar to some techniques used on shared memory
                 machines.",
  acknowledgement = ack-nhfb,
  keywords =     "Parallel processing (Electronic computers);
                 Supercomputers",
}

@Book{Bank:1990:PSP,
  author =       "Randolph E. Bank",
  title =        "{PLTMG}: {A} Software Package for Solving Elliptic
                 Partial Differential Equations. Users' Guide 6.0",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "ix + 162",
  year =         "1990",
  ISBN =         "0-89871-255-6",
  ISBN-13 =      "978-0-89871-255-1",
  LCCN =         "QA377 .B26 1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bernardi:1990:RPT,
  author =       "Christine Bernardi and Yvon Maday",
  title =        "Rel{\`e}vement Polynomial de Traces et Applications.
                 ({French}) [{Polynomial} raising of Traces and
                 Applications]",
  journal =      j-MMAN,
  volume =       "24",
  number =       "5",
  pages =        "557--611",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@InProceedings{Bjorstad:1990:PDD,
  author =       "Petter E. Bj{\o}rstad and Randi Moe and Morten
                 Skogen",
  editor =       "Wolfgang Hackbusch",
  booktitle =    "Parallel Algorithms for PDEs, Proceedings of the 6th
                 GAMM-Seminar held in Kiel, Germany, January 19--21,
                 1990",
  title =        "Parallel Domain Decomposition and Iterative Refinement
                 Algorithms",
  publisher =    pub-VIEWEG-VERLAG,
  address =      pub-VIEWEG-VERLAG:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Borgers:1990:FED,
  author =       "Christoph B{\"o}rgers and Olof B. Widlund",
  title =        "On Finite Element Domain Imbedding Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "27",
  number =       "4",
  pages =        "963--978",
  month =        aug,
  year =         "1990",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N30",
  MRnumber =     "91g:65235",
  MRreviewer =   "Chuan Miao Chen",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Bourquin:1990:ACS,
  author =       "Fr{\'e}d{\'e}ric Bourquin",
  title =        "Analysis and comparison of several component mode
                 synthesis methods on one-dimensional domains",
  journal =      j-NUM-MATH,
  volume =       "58",
  number =       "1",
  pages =        "11--33",
  year =         "1990",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01385608",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N55 (34A46 65L15 65N25)",
  MRnumber =     "1069651 (92a:65323)",
  MRreviewer =   "Rolf Rannacher",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
}

@TechReport{Bramble:1990:DDM,
  author =       "James H. Bramble and Richard E. Ewing and Rossen R.
                 Parashkevov and Joseph E. Pasciak",
  title =        "Domain Decomposition Methods for Problems with Partial
                 Refinement",
  institution =  "Cornell University",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bramble:1990:DDT,
  author =       "James H. Bramble and Joseph E. Pasciak",
  title =        "A domain decomposition technique for {Stokes}
                 problems",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "4",
  pages =        "251--261",
  month =        may,
  year =         "1990",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (76D07 76M10 76M25)",
  MRnumber =     "91f:65188",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bramble:1990:PMP,
  author =       "James H. Bramble and Joseph E. Pasciak and Jin Chao
                 Xu",
  title =        "Parallel Multilevel Preconditioners",
  journal =      j-MATH-COMPUT,
  volume =       "55",
  number =       "191",
  pages =        "1--22",
  month =        jul,
  year =         "1990",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "90k:65170",
  MRreviewer =   "Wolfgang Moldenhauer",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290P (Differential equations); C4130 (Interpolation
                 and function approximation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "abstract theory; approximation theory; boundary-value
                 problems; condition number; differential; discrete
                 systems; equations; full approximation space; nested
                 subspaces; numerical approximation; parallel multilevel
                 preconditioners; problems; symmetric elliptic boundary
                 value",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Bramley:1990:DDP,
  author =       "Randall Barry Bramley and Ahmed Sameh",
  title =        "Domain decomposition for parallel row projection
                 algorithms",
  number =       "CSRD 958",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "13",
  month =        jan,
  year =         "1990",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "Row projection algorithms for solving nonsymmetric
                 linear systems are theoretically robust, converging for
                 systems with indefinite symmetric parts and arbitrarily
                 distributed eigenvalues. Slow convergence, however, has
                 prevented their widespread use. This paper shows that a
                 domain decomposition approach gives row projections
                 methods that allow parallelism in the computations. The
                 level of concurrency and size of the created subtasks
                 can be chosen to suit the target machine, and the
                 resulting algorithms have advantages over standard
                 domain decomposition methods.",
  acknowledgement = ack-nhfb,
  annote =       "Submitted to Applied Numerical Mathematics, 1990.
                 Supported in part by the National Science Foundation.
                 Supported in part by U.S. Department of Energy.
                 Supported in part by AT\&T. Supported in part by the
                 Air Force Office of Scientific Research.",
  keywords =     "Eigenvalues; Linear systems",
}

@Book{Buleev:1990:PRA,
  author =       "S. N. Buleev",
  title =        "Programmnaya realizatsiya algoritmov razdeleniya
                 oblasti",
  volume =       "244",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "24",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1086624 (91m:65293)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cai:1990:ASA,
  author =       "Xiao-Chuan Cai",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "An Additive {Schwarz} Algorithm for Nonselfadjoint
                 Elliptic Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Cai:1990:CRE,
  author =       "Xiao-Chuan Cai and William D. Gropp and David E.
                 Keyes",
  title =        "Convergence Rate Estimate for a Domain Decomposition
                 Method",
  institution =  "Yale University",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Numer. Math.",
}

@Article{Coron:1990:ECA,
  author =       "F. Coron",
  title =        "Errata: ``{Computation} of the asymptotic states for
                 linear half space kinetic problems''",
  journal =      "Transport Theory Statist. Phys.",
  volume =       "19",
  number =       "6",
  pages =        "581",
  year =         "1990",
  CODEN =        "TTSPB4",
  DOI =          "http://dx.doi.org/10.1080/00411459008260825",
  ISSN =         "0041-1450",
  MRclass =      "82C40 (65M99 82C80)",
  MRnumber =     "1090949 (92b:82103b)",
  MRreviewer =   "B. Kellogg",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Transport Theory and Statistical Physics",
}

@Article{Despres:1990:DDP,
  author =       "Bruno Despr{\'e}s",
  title =        "{D{\'e}composition} de domaine et probl{\`e}me de
                 {Helmholtz}. ({French}) [{Domain} decomposition in the
                 {Helmholtz} problem]",
  journal =      j-C-R-ACAD-SCI-PARIS-SER-I-MATH,
  volume =       "311",
  number =       "6",
  pages =        "313--316",
  year =         "1990",
  CODEN =        "CASMEI",
  ISSN =         "0764-4442 (print), 1778-3577 (electronic)",
  MRclass =      "65N55",
  MRnumber =     "1071633 (91k:65153)",
  MRreviewer =   "A. Quarteroni",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Comptes Rendus de l'Acad{\'e}mie des Sciences.
                 S{\'e}rie I. Math{\'e}matique",
  language =     "French",
}

@Article{Deville:1990:CCS,
  author =       "M. O. Deville",
  title =        "{Chebyshev} collocation solutions of flow problems",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "80",
  number =       "1--3",
  pages =        "27--37",
  year =         "1990",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(90)90012-B",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "76M10 (65N35 76A05 76D05 76D07 76M25)",
  MRnumber =     "1067940 (91g:76063)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Spectral and high order methods for partial
                 differential equations (Como, 1989)",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@Article{Dostal:1990:PPD,
  author =       "Zden{\v{e}}k Dost{\'a}l",
  title =        "Projector preconditioning and domain decomposition
                 methods",
  journal =      j-APPL-MATH-COMP,
  volume =       "37",
  number =       "2 (part II)",
  pages =        "75--81",
  month =        may,
  year =         "1990",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  MRclass =      "65N55 (65F35)",
  MRnumber =     "1 055 447",
  bibdate =      "Fri Feb 28 14:35:55 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Hornicky Ustav CSAV, Ostrava, Czechoslovakia",
}

@InProceedings{Dryja:1990:TUT,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations, held in
                 Houston, Texas, March 20-22, 1989",
  title =        "Towards a Unified Theory of Domain Decomposition
                 Algorithms for Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@MastersThesis{Frank:1990:ECM,
  author =       "George N. Frank",
  title =        "Experiments on the {Cedar} multicluster with parallel
                 block cyclic reduction and an application to domain
                 decomposition methods",
  type =         "Thesis (M.S.)",
  number =       "CSRD 1056; UILU-ENG-90-8032",
  school =       inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "vii + 69",
  month =        nov,
  year =         "1990",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "The objective of this work is to map certain
                 algorithms for the efficient solution of a class of
                 elliptic partial differential equations on an
                 architecture with multiple levels of computational
                 parallelism and hierarchical memory organization. The
                 prototype system is the Cedar multicluster, developed
                 at the Center for Supercomputing Research and
                 Development (CSRD) at the University of Illinois. In
                 our experiments, each cluster of Cedar is a modified
                 Alliant FX/8 with four processors. The algorithms we
                 implement are parallel block cyclic reduction, and
                 certain domain decomposition methods based on the Schur
                 complement, for T-shaped regions. They are written to
                 exploit the multiple cluster capabilities of the
                 machine, as well as the concurrent and vector
                 computational resources of each cluster. For each of
                 these applications we obtain good multi-cluster
                 performance: good speedups are obtained for the new
                 implementations on multiple clusters of Cedar, relative
                 to the implementations best suited for a single
                 cluster. Most importantly, our experiments also point
                 to advantages of the multi-cluster organization. For
                 the case of block cyclic reduction, for example, the
                 performance using the new multicluster algorithm on
                 eight processors organized in two clusters is superior
                 to that of the original parallel algorithm optimized
                 for the eight faster processors of the Alliant FX/80.",
  acknowledgement = ack-nhfb,
  annote =       "Supported in part by the National Science Foundation.
                 Supported in part by the U.S. Department of Energy.",
  keywords =     "Algorithms; Differential equations, Partial; Parallel
                 processing (Electronic computers)",
}

@TechReport{Frank:1990:EEP,
  author =       "G. Frank and E. J. (Efstratios J.) Gallopoulos and
                 Ulrike Meier",
  title =        "Experiments with elliptic problem solvers on the
                 {Cedar} multicluster",
  type =         "Technical Report",
  number =       "CSRD 902",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "6",
  month =        mar,
  year =         "1990",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "The implementation and performance of algorithms for
                 the solution of elliptic problems on the Cedar
                 multiprocessor is examined. The algorithms considered
                 are conjugate gradient schemes with or without
                 preconditioning on a rectangular domain and domain
                 decomposition techniques with overlapping (Schwarz
                 Alternating Method) and nonoverlapping subdomains on a
                 T-shaped domain. We present some preliminary results
                 from our current research effort.",
  acknowledgement = ack-nhfb,
  annote =       "To appear in Proc. of Fourth SIAM Conference on
                 Parallel Processing Sci. Computing, Chicago, IL,
                 December 1989 (revised March 1990) Supported in part by
                 the National Science Foundation. Supported in part by
                 the U.S. Dept. of Energy. Supported in part by AT\&T.
                 Supported in part by the Air Force Office of Scientific
                 Research. Supported in part by NASA Ames Research
                 Center.",
  keywords =     "Multiprocessors",
}

@Article{Gaier:1990:MLQ,
  author =       "D. Gaier and W. K. Hayman",
  title =        "Moduli of long quadrilaterals and thick ring domains",
  journal =      j-REND-MAT-APPL-1981,
  volume =       "10",
  number =       "4",
  pages =        "809--834 (1991)",
  year =         "1990",
  CODEN =        "RNMTAN",
  ISSN =         "1120-7183",
  MRclass =      "30C35 (30C30)",
  MRnumber =     "1145682 (93b:30007)",
  MRreviewer =   "N. Papamichael",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Rendiconti di Matematica e delle sue Applicazioni.
                 Serie VII",
}

@InProceedings{Glowinski:1990:ADD,
  author =       "R. Glowinski and W. Kinton and M. F. Wheeler",
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  booktitle =    "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations, held in
                 Houston, Texas, March 20-22, 1989",
  title =        "Acceleration of Domain Decomposition Algorithms for
                 Mixed Finite Elements by Multi-level Methods",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Haase:1990:NADa,
  author =       "Gundolf Haase and Ulrich Langer and Arnd Meyer",
  title =        "A New Approach to the {Dirichlet} Domain Decomposition
                 Method",
  institution =  "Technical University of Chemnitz",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Haase:1990:NADb,
  author =       "Gundolf Haase and Ulrich Langer and Arnd Meyer",
  booktitle =    "{Fifth Multigrid Seminar (Eberswalde, 1990)}",
  title =        "A new approach to the {Dirichlet} domain decomposition
                 method",
  volume =       "90",
  publisher =    "Karl-Weierstrass-Inst. Math.",
  address =      "Berlin, Germany",
  pages =        "1--59",
  year =         "1990",
  MRclass =      "65N55 (65F35)",
  MRnumber =     "1100487 (92a:65327)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Rep. MATH",
  acknowledgement = ack-nhfb,
}

@Article{Huang:1990:UFD,
  author =       "Lan Chieh Huang",
  title =        "The {ULWC} finite difference scheme for the numerical
                 solution of incompressible {Navier--Stokes} equations",
  journal =      "Math. Numer. Sinica",
  volume =       "12",
  number =       "2",
  pages =        "194--205",
  year =         "1990",
  ISSN =         "0254-7791",
  MRclass =      "65P05 (76D05 76M20)",
  MRnumber =     "1070309 (91i:65199)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Numerica Sinica. Jisuan Shuxue",
}

@TechReport{Hvidsten:1990:PFE,
  author =       "Anders Hvidsten",
  title =        "On the Parallelization of a Finite Element Structural
                 Analysis Program",
  institution =  "University of Bergen, Norway",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Ph.D. Thesis. Computer Science Department",
}

@Book{Ilin:1990:CMM,
  editor =       "V. P. Il{\cprime}in",
  title =        "Chislennye metody i matematicheskoe modelirovanie",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "167",
  year =         "1990",
  MRclass =      "65-06 (35-06)",
  MRnumber =     "1209167 (93i:65007)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Kang:1990:DDM,
  author =       "Li Shan Kang and Garry Rodrigue",
  title =        "Domain decomposition methods for solving {PDEs} on
                 multi-processors",
  journal =      "Acta Math. Sci. (English Ed.)",
  volume =       "10",
  number =       "4",
  pages =        "459--470",
  year =         "1990",
  ISSN =         "0252-9602",
  MRclass =      "65N55 (65N12 65Y05)",
  MRnumber =     "1107374 (92a:65328)",
  MRreviewer =   "Stanly L. Steinberg",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Mathematica Scientia. English Edition. Shuxue
                 Wuli Xuebao",
}

@Article{Karageorghis:1990:EDM,
  author =       "Andreas Karageorghis and Timothy N. Phillips",
  title =        "On efficient direct methods for conforming spectral
                 domain decomposition techniques",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "33",
  number =       "2",
  pages =        "141--155",
  year =         "1990",
  CODEN =        "JCAMDI",
  DOI =          "http://dx.doi.org/10.1016/0377-0427(90)90364-6",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "65M55 (65M70)",
  MRnumber =     "1090891 (92a:65254)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
}

@Article{Keyes:1990:DDT,
  author =       "David E. Keyes and William D. Gropp",
  title =        "Domain Decomposition Techniques for the Parallel
                 Solution of Nonsymmetric Systems of Elliptic {BVPs}",
  journal =      j-APP-NUM-MATH,
  volume =       "6",
  pages =        "281--301",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Khoromsky:1990:DDM,
  author =       "B. N. Khoromsky and G. E. Mazurkevich and E. P.
                 Zhidkov",
  title =        "Domain decomposition method for magnetostatics
                 nonlinear problems in combined formulation",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "5",
  number =       "2",
  pages =        "111--136",
  year =         "1990",
  ISSN =         "0169-2895",
  MRclass =      "65N55 (78-08 78A30)",
  MRnumber =     "1122364 (92h:65185)",
  MRreviewer =   "P. Rochus",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Kiss:1990:IMN,
  author =       "B{\'e}la Kiss",
  title =        "An iterative method for nonselfadjoint elliptic
                 problems on regions partitioned into substructures",
  journal =      "Ann. Univ. Sci. Budapest. Sect. Comput.",
  volume =       "10",
  pages =        "19--33",
  year =         "1990",
  ISSN =         "0138-9491",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1097031 (92a:65330)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Annales Universitatis Scientiarum Budapestinensis de
                 Rolando E{\"o}tv{\"o}s Nominatae. Sectio
                 Computatorica",
}

@InCollection{Konshin:1990:OMD,
  author =       "I. N. Kon{\cprime}shin",
  booktitle =    "{Numerical methods and software (Russian)}",
  title =        "Optimization of multigrid domain decomposition
                 methods",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "73--94",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1108848",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Korshiya:1990:DMS,
  author =       "T. K. Korshiya and G. B. Lobzhanidze",
  title =        "The decomposition method for solving block-tape
                 systems of algebraic equations",
  journal =      "Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy",
  volume =       "40",
  pages =        "103--149, 247--248",
  year =         "1990",
  ISSN =         "0376-2637",
  MRclass =      "65N22 (65F05 65N06 65N30 65N55 65Y05)",
  MRnumber =     "1122576 (92h:65161)",
  MRreviewer =   "W. Govaerts",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Tbilisski\u\i\ Gosudarstvenny\u\i\ Universitet.
                 Institut Prikladno\u\i\ Matematiki. Trudy",
}

@Book{Kuznetsov:1990:CMP,
  editor =       "Yu. A. Kuznetsov",
  title =        "Chislennye metody i programmnoe obespechenie",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "164",
  year =         "1990",
  MRclass =      "65-06 (00B15)",
  MRnumber =     "1108842 (91m:65004)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kuznetsov:1990:DDMa,
  author =       "I. B. Kuznetsov and S. B. Kuznetsov and K. M.
                 Shkol{\cprime}nik",
  booktitle =    "{Numerical methods and mathematical modeling
                 (Russian)}",
  title =        "The domain decomposition method for the
                 parallelization of a sequential upper relaxation
                 algorithm",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "95--104",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1209171",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kuznetsov:1990:DDMb,
  author =       "Yu. A. Kuznetsov",
  booktitle =    "{Computing methods in applied sciences and engineering
                 (Paris, 1990)}",
  title =        "Domain decomposition methods for unsteady
                 convection-diffusion problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "211--227",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1102024",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Kuznetsov:1990:MLD,
  author =       "Yu. A. Kuznetsov",
  title =        "Multi-level domain decomposition methods",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "4",
  pages =        "303--314",
  month =        may,
  year =         "1990",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55",
  MRnumber =     "91g:65264",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kuznetsov:1990:MMP,
  author =       "Yu. A. Kuznetsov and G. K. Osorgin",
  title =        "Multigrid method for the plane problem of elasticity
                 theory",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "5",
  number =       "2",
  pages =        "137--156",
  year =         "1990",
  ISSN =         "0169-2895",
  MRclass =      "65N55 (65N22 73C02 73V10)",
  MRnumber =     "1122365 (92d:65210)",
  MRreviewer =   "S. F. McCormick",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Landriani:1990:MSC,
  author =       "G. Sacchi Landriani and H. Vandeven",
  title =        "A multidomain spectral collocation method for the
                 {Stokes} problem",
  journal =      j-NUM-MATH,
  volume =       "58",
  number =       "4",
  pages =        "441--464",
  year =         "1990",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01385635",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N35 (76D07 76M25)",
  MRnumber =     "1077588 (91j:65168)",
  MRreviewer =   "Timothy Nigel Phillips",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
}

@Article{Liang:1990:NDD,
  author =       "Gou-ping Liang and Ping Liang",
  title =        "Nonconforming domain decomposition with hybrid
                 method",
  journal =      j-J-COMP-MATH,
  volume =       "8",
  number =       "4",
  pages =        "363--370",
  year =         "1990",
  CODEN =        "JCMMEB",
  ISSN =         "0254-9409",
  MRclass =      "65N55",
  MRnumber =     "1149718 (92i:65186)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Mathematics. An International
                 Journal on Numerical Methods, Analysis and
                 Applications",
}

@InProceedings{Lions:1990:SAM,
  author =       "Pierre Louis Lions",
  editor =       "Tony F. Chan and Roland Glowinski and Jacques
                 P{\'e}riaux and Olof Widlund",
  booktitle =    "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations , held in
                 Houston, Texas, March 20-22, 1989",
  title =        "On the {Schwarz} alternating method. {III}: {A}
                 variant for nonoverlapping subdomains",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Mandel:1990:HPP,
  author =       "Jan Mandel",
  editor =       "Tony F. Chan and Roland Glowinski and Jacques
                 P{\'e}riaux and Olof Widlund",
  booktitle =    "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations, held in
                 Houston, Texas, March 20-22, 1989",
  title =        "Hierarchical preconditioning and partial
                 orthogonalization for the p-version finite element
                 method",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Mandel:1990:ISS,
  author =       "Jan Mandel",
  title =        "Iterative solvers by substructuring for the p-version
                 finite element method",
  journal =      j-COMP-METH-APP-MECH-ENG,
  volume =       "80",
  pages =        "117--128",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Mandel:1990:TLD,
  author =       "Jan Mandel",
  title =        "Two-level domain decomposition preconditioning for the
                 p-version finite element version in three dimensions",
  journal =      j-INT-J-NUM-METH-ENG,
  volume =       "29",
  pages =        "1095--1108",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Mansfield:1990:CGS,
  author =       "Lois Mansfield",
  title =        "On the Conjugate Gradient Solution of the {Schur}
                 Complement System Obtained from Domain Decomposition",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "27",
  number =       "6",
  pages =        "1612--1620",
  month =        dec,
  year =         "1990",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0727094",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F35 (65N55)",
  MRnumber =     "1080341 (91i:65083)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
}

@Article{Meyer:1990:PPC,
  author =       "A. Meyer",
  title =        "A Parallel Preconditioned Conjugate Gradient Method
                 Using Domain Decomposition and Inexact Solvers on Each
                 Subdomain",
  journal =      j-COMPUTING,
  volume =       "45",
  number =       "3",
  pages =        "217--234",
  year =         "1990",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02250634",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65N55 (65F35)",
  MRnumber =     "1080792 (91i:65192)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database; OCLC Contents1st database",
  acknowledgement = ack-nhfb,
  affiliation =  "Acad of Science GDR",
  affiliationaddress = "Chemnitz, Germany",
  classification = "723; 921",
  fjournal =     "Computing. Archives for Scientific Computing",
  journalabr =   "Computing (Vienna/New York)",
  keywords =     "Computer Systems Programming--Multiprocessing
                 Programs; Conjugate Gradient Methods; Domain
                 Decomposition; Iterative Solvers; Mathematical
                 Techniques",
}

@Article{Morandi:1990:CMI,
  author =       "R. Morandi and A. Sestini",
  title =        "{Cray Y-MP\slash 432} implementation of a domain
                 decomposition method",
  journal =      j-SUPERCOMPUTER,
  volume =       "7",
  number =       "6",
  pages =        "27--33",
  month =        nov,
  year =         "1990",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercom.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dipartimento di Energetica, Firenze Univ., Italy",
  classification = "C4170 (Differential equations)",
  corpsource =   "Dipartimento di Energetica, Firenze Univ., Italy",
  keywords =     "Cray Y-MP/432; domain decomposition; elliptic partial
                 differential equations; large sparse linear systems;
                 microtasking; parallel algorithms; partial differential
                 equations",
  pubcountry =   "Netherlands",
  treatment =    "P Practical",
}

@Book{Nepomnyashchikh:1990:MRO,
  author =       "S. V. Nepomnyashchikh",
  title =        "Metod razdeleniya oblasti dlya ellipticheskikh zadach
                 s razryvnymi koeffitsientami",
  volume =       "891",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "21",
  year =         "1990",
  MRclass =      "65N55",
  MRnumber =     "1086627 (92a:65332)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "With an English summary",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@TechReport{Neta:1990:DDM,
  author =       "B. Neta and N. Okamoto",
  title =        "On Domain Decomposition Methods for Solving Partial
                 Differential Equations",
  number =       "NPS-MA-90-004",
  institution =  inst-MATH-NPS,
  address =      inst-MATH-NPS:adr,
  year =         "1990",
  bibdate =      "Fri Nov 11 14:50:24 MST 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/n/neta-beny.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/neta-beny.bib",
  acknowledgement = ack-nhfb,
}

@Article{Oswald:1990:DNS,
  author =       "Peter Oswald",
  title =        "On the degree of nonlinear spline approximation in
                 {Besov-Sobolev} spaces",
  journal =      j-APP-THEORY,
  volume =       "61",
  number =       "2",
  pages =        "131--157",
  year =         "1990",
  MRclass =      "41A15 (41A25)",
  MRnumber =     "91c:41030",
  MRreviewer =   "G{\"u}nther N{\"u}rnberger",
  bibdate =      "Fri Oct 23 19:07:40 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Oswald:1990:FSR,
  author =       "Peter Oswald",
  title =        "On function spaces related to finite element
                 approximation theory",
  journal =      j-Z-ANA-ANW,
  volume =       "9",
  number =       "1",
  pages =        "43--64",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Papamichael:1990:NPD,
  author =       "N. Papamichael and N. S. Stylianopoulos",
  booktitle =    "{Computational methods and function theory
                 (Valpara{\'\i} so, 1989)}",
  title =        "On the numerical performance of a domain decomposition
                 method for conformal mapping",
  volume =       "1435",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "155--169",
  year =         "1990",
  DOI =          "http://dx.doi.org/10.1007/BFb0087905",
  MRclass =      "30C30",
  MRnumber =     "1071770 (91k:30016)",
  MRreviewer =   "D. Gaier",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Math.",
  acknowledgement = ack-nhfb,
}

@Article{Perkins:1990:DDM,
  author =       "A. Louise Perkins and Garry Rodrigue",
  title =        "A domain decomposition method for solving a
                 two-dimensional viscous {Burgers}' equation",
  journal =      j-APPL-NUM-MATH,
  volume =       "6",
  number =       "4",
  pages =        "329--340",
  month =        may,
  year =         "1990",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65P05 (65N55 76D05 76M20)",
  MRnumber =     "91h:65209",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Phillips:1990:SDD,
  author =       "Timothy N. Phillips",
  booktitle =    "{Spectral and high order methods for partial
                 differential equations (Como, 1989)}",
  title =        "Spectral domain decomposition techniques for viscous
                 incompressible flows",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "389--395",
  year =         "1990",
  MRclass =      "65M70 (65M55 76A05 76D05 76M25)",
  MRnumber =     "1180578",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Quarteroni:1990:DDG,
  author =       "Alfio Quarteroni and Alberto Valli",
  booktitle =    "{Proceedings of the Third European Conference on
                 Mathematics in Industry (Glasgow, 1988)}",
  title =        "Domain decomposition for a generalized {Stokes}
                 problem",
  volume =       "5",
  publisher =    pub-TEUBNER,
  address =      pub-TEUBNER:adr,
  pages =        "59--74",
  year =         "1990",
  MRclass =      "65N55 (35Q30 76D07 76M25)",
  MRnumber =     "1076426 (91k:65155)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "European Consort. Math. Indust.",
  acknowledgement = ack-nhfb,
}

@Article{Quarteroni:1990:DDM,
  author =       "Alfio Quarteroni",
  title =        "Domain Decomposition Methods for Systems of
                 Conservation Laws: Spectral Collocation
                 Approximations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "11",
  number =       "6",
  pages =        "1029--1052",
  month =        nov,
  year =         "1990",
  CODEN =        "SIJCD4",
  DOI =          "http://dx.doi.org/10.1137/0911058",
  ISSN =         "0196-5204",
  MRclass =      "65N55 (65M55 65M70 65N35)",
  MRnumber =     "1068495 (91k:65156)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "A0260 (Numerical approximation and analysis)",
  corpsource =   "Dipartimento di Matematica, Univ. Cattolica, Brescia,
                 Italy",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  keywords =     "conservation laws; convergence analysis; convergence
                 of numerical methods; difference equations; domain
                 decomposition; error-reduction factor; finite
                 difference schemes; hyperbolic systems;
                 iteration-by-subdomain procedure; iterative methods;
                 nonlinear problem; spectral collocation
                 approximations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Shao:1990:SDD,
  author =       "Jian Ping Shao",
  title =        "A symmetric domain decomposition method based on the
                 symmetrization principle",
  journal =      "Math. Appl. (Wuhan)",
  volume =       "3",
  number =       "2",
  pages =        "6--11",
  year =         "1990",
  ISSN =         "1001-9847",
  MRclass =      "65L60 (65N55)",
  MRnumber =     "1073312 (91i:65143)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Applicata. Yingyong Shuxue",
}

@PhdThesis{Smith:1990:DDAa,
  author =       "Barry F. Smith",
  title =        "Domain Decomposition Algorithms for the Partial
                 Differential Equations of Linear Elasticity",
  school =       "Courant Institute of Mathematical Sciences",
  month =        sep,
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 517, Department of Computer Science,
                 Courant Institute",
}

@Article{Smith:1990:DDAb,
  author =       "Barry F. Smith and Olof B. Widlund",
  title =        "A Domain Decomposition Algorithm Using a Hierarchical
                 Basis",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "11",
  number =       "6",
  pages =        "1212--1220",
  month =        nov,
  year =         "1990",
  CODEN =        "SIJCD4",
  DOI =          "http://dx.doi.org/10.1137/0911069",
  ISSN =         "0196-5204",
  MRclass =      "65F35 (65N55)",
  MRnumber =     "1068505 (91m:65125)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); C4130 (Interpolation and
                 function approximation); C4140 (Linear algebra)",
  corpsource =   "Courant Inst. of Math. Sci., New York Univ., NY, USA",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  keywords =     "coarsest mesh; conjugate gradient methods; domain
                 decomposition algorithm; elliptic finite element
                 problems; finite element analysis; hierarchical basis;
                 linear algebra; multigrid method; neighboring
                 subregions; preconditioned conjugate gradient methods;
                 preconditioner",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Vabishchevich:1990:IMD,
  author =       "P. N. Vabishchevich",
  title =        "Iterative methods of domain decomposition with overlap
                 for elliptic boundary value problems",
  journal =      "Differentsial\cprime nye Uravneniya",
  volume =       "26",
  number =       "7",
  pages =        "1197--1207, 1286",
  year =         "1990",
  ISSN =         "0374-0641",
  MRclass =      "65N55",
  MRnumber =     "1072216 (91h:65194)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Differentsial\cprime nye Uravneniya",
}

@InCollection{Vasilevskii:1990:DDM,
  author =       "Yu. V. Vasilevski{\u\i}",
  booktitle =    "{Numerical methods and software (Russian)}",
  title =        "The domain decomposition method with approximate
                 solution of subproblems",
  publisher =    "Akad. Nauk SSSR Otdel Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "23--29",
  year =         "1990",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1108845 (92c:65151)",
  MRreviewer =   "Lutz Angermann",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Yserentant:1990:TPB,
  author =       "Harry Yserentant",
  title =        "Two preconditioners based on the multi-level splitting
                 of finite element spaces",
  journal =      j-NUM-MATH,
  volume =       "58",
  number =       "2",
  pages =        "163--184",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Agoshkov:1991:DDM,
  author =       "V. I. Agoshkov",
  booktitle =    "{Computational processes and systems, No.\ 8
                 (Russian)}",
  title =        "Domain decomposition methods in problems of
                 mathematical physics",
  publisher =    "Nauka",
  address =      "Moscow, Russia",
  pages =        "3--51",
  year =         "1991",
  MRclass =      "65M55 (65M60 65R20 76M10 76Rxx)",
  MRnumber =     "1151879 (92m:65115)",
  MRreviewer =   "G. W. Hedstrom",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Babuska:1991:EPV,
  author =       "I. Babu{\v{s}}ka and A. Craig and J. Mandel and J.
                 Pitk{\"a}ranta",
  title =        "Efficient preconditioning for the {$p$}-version finite
                 element method in two dimensions",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "28",
  number =       "3",
  pages =        "624--661",
  month =        jun,
  year =         "1991",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N30 (65Y05)",
  MRnumber =     "92a:65282",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{BacchelliMontefusco:1991:DDM,
  author =       "L. {Bacchelli Montefusco} and C. Guerrini",
  title =        "A domain decomposition method for scattered data
                 approximation on a distributed memory multiprocessor",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "17",
  number =       "2--3",
  pages =        "253--263",
  month =        jun,
  year =         "1991",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation);
                 C7310 (Mathematics)",
  corpsource =   "Dept. of Math., Messina Univ., Italy",
  keywords =     "algorithms; approximation theory; coarse; distributed
                 memory multiprocessor; domain decomposition method;
                 dynamic arithmetic load-balance; grained parallel
                 algorithm; Hypercube iPSC/2; mathematics computing;
                 parallel; performance; scattered data approximation;
                 sequential algorithm; sequential algorithms; weight
                 functions",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InCollection{Bjorstad:1991:PDD,
  author =       "Petter E. Bj{\o}rstad and Randi Moe and Morten
                 Skogen",
  booktitle =    "{Parallel algorithms for partial differential
                 equations (Kiel, 1990)}",
  title =        "Parallel domain decomposition and iterative refinement
                 algorithms",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "28--46",
  year =         "1991",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1167866",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@Article{Bjorstad:1991:SSO,
  author =       "Petter E. Bj{\o}rstad and Jan Mandel",
  title =        "On the Spectra of Sums of Orthogonal Projections with
                 Applications to Parallel Computing",
  journal =      j-BIT,
  volume =       "31",
  number =       "1",
  pages =        "76--88",
  year =         "1991",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65J10 (35P05 65Y05)",
  MRnumber =     "91m:65157",
  MRreviewer =   "I. Norman Katz",
  bibdate =      "Fri Nov 13 07:00:34 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bramble:1991:CEM,
  author =       "James H. Bramble and Joseph E. Pasciak and Jun Ping
                 Wang and Jinchao Xu",
  title =        "Convergence estimates for multigrid algorithms without
                 regularity assumptions",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "195",
  pages =        "23--45",
  month =        jul,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65J10 (65N55)",
  MRnumber =     "91m:65158",
  MRreviewer =   "Rong Hua Li",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); B0290F (Interpolation
                 and function approximation); C4130 (Interpolation and
                 function approximation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "approximation; approximation theory; assumption;
                 coefficients; convergence of numerical methods;
                 convergence rate estimates; differential equations;
                 irregular; large jumps coefficients; multigrid
                 refinement applications; multigrip algorithms; nodes;
                 rate of convergence estimates; smooth; symmetric
                 positive definite problems",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bramble:1991:CEP,
  author =       "James H. Bramble and Joseph E. Pasciak and Jun Ping
                 Wang and Jinchao Xu",
  title =        "Convergence estimates for product iterative methods
                 with applications to domain decomposition",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "195",
  pages =        "1--21",
  month =        jul,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65J10 (65M55 65N22 65N55)",
  MRnumber =     "92d:65094",
  MRreviewer =   "I. P. Gavrilyuk",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "approximation; approximation theory; convergence
                 estimates; convergence of numerical methods;
                 decomposition; domain; error-reducing operator; finite
                 element; iterative methods; norm-reduction estimates;
                 orthogonal projections; product iterative methods;
                 Schwarz algorithms; second-order elliptic problems;
                 subspaces; symmetric positive definite problems",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Bramble:1991:ISN,
  author =       "James H. Bramble and Zbigniew Leyk and Joseph E.
                 Pasciak",
  title =        "Iterative Schemes for Non-symmetric and Indefinite
                 Elliptic Boundary Value Problems",
  institution =  "Cornell University",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Bramble:1991:NEM,
  author =       "James H. Bramble and Joseph E. Pasciak",
  title =        "New Estimates for Multilevel Algorithms Including the
                 {V}-cycle",
  institution =  "Cornell University",
  month =        aug,
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Bramble:1991:SEW,
  author =       "James H. Bramble and Jinchao Xu",
  title =        "Some Estimates for a Weighted ${L}^2$ Projection",
  journal =      j-MATH-COMPUT,
  volume =       "56",
  number =       "194",
  pages =        "463--476",
  month =        apr,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65N15 65N55)",
  MRnumber =     "91k:65140",
  MRreviewer =   "A. Quarteroni",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); B0290B (Error
                 analysis in numerical methods); C4170 (Differential
                 equations); C4110 (Error analysis in numerical
                 methods)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  keywords =     "boundary-value problems; domain decomposition method;
                 elliptic boundary problems; error analysis; error
                 estimates; estimates; jump discontinuities; multigrid
                 method; multilevel preconditioner; optimal; weighted
                 L/sup 2/ projection",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bramley:1991:DDP,
  author =       "R. Bramley and A. Sameh",
  title =        "Domain decomposition for parallel row projection
                 algorithms",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "303--315",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90071-7",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65Y05 (65F10 65N55)",
  MRnumber =     "1136829 (92g:65152)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@TechReport{Bramley:1991:SOD,
  author =       "Randall Barry Bramley and James Bordner",
  title =        "Sequential optimization and data distribution for
                 {ARC2D} on the {Cedar} hierarchical multiprocessor",
  type =         "Technical Report",
  number =       "CSRD 1128",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "48",
  month =        sep,
  year =         "1991",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "The Fortran code ARC2D from the Perfect Benchmark
                 Suite is described, and its optimization for a
                 hierarchical shared memory multiprocessor (Cedar) is
                 presented. First sequential optimizations are
                 described, which reduce the number of floating point
                 operations by 33\% and improve data locality. For the
                 Cedar version, the data is distributed among the
                 cluster memories, instead of placing the data into
                 global memory and simply using Cedar as a 32 processor
                 shared memory machine. The approach is commonly called
                 domain decomposition but is more accurately described
                 as data decomposition or data distribution.",
  acknowledgement = ack-nhfb,
  annote =       "James Bordner given as second author on P. 1.
                 Supported in part by the U.S. Department of Energy.
                 Supported in part by the National Science Foundation.
                 Supported in part by the U.S. Air Force Office of
                 Scientific Research. Supported in part by AT\&T.
                 Supported in part by Digital Equipment Corporation.",
  keywords =     "Distributed data bases; Multiprocessors; Sequential
                 machine theory",
}

@InCollection{Bruch:1991:MDD,
  author =       "J. C. {Bruch, Jr.}",
  booktitle =    "{Computational modelling of free and moving boundary
                 problems, Vol.\ 1 (Southampton, 1991)}",
  title =        "Multisplitting and domain decomposition techniques
                 applied to free surface flow through porous media",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "3--20",
  year =         "1991",
  MRclass =      "76M25 (65N55 76S05)",
  MRnumber =     "1162746",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Cai:1991:ASA,
  author =       "Xiao-Chuan Cai",
  title =        "Additive {Schwarz} Algorithms for Parabolic
                 Convection-Diffusion Equations",
  journal =      j-NUM-MATH,
  volume =       "60",
  number =       "1",
  pages =        "41--61",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Carlenzoli:1991:DDA,
  author =       "Claudio Carlenzoli and Paola Zanolli",
  title =        "Domain decomposition approximation to a generalized
                 {Stokes} problem by spectral methods",
  journal =      j-MATH-MODELS-METHODS-APPL-SCI,
  volume =       "1",
  number =       "4",
  pages =        "501--515",
  year =         "1991",
  CODEN =        "MMMSEU",
  DOI =          "http://dx.doi.org/10.1142/S0218202591000253",
  ISSN =         "0218-2025",
  MRclass =      "65N55 (65N35 76D07 76M25)",
  MRnumber =     "1144185 (92i:65182)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Models \& Methods in Applied Sciences",
}

@InProceedings{Chan:1991:APT,
  author =       "Tony F. Chan and Tarek P. Mathew",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "An Application of the Probing Technique to the Vertex
                 Space Method in Domain Decomposition",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Chan:1991:DDI,
  author =       "Tony F. Chan and Wei Nan E and Jia Chang Sun",
  title =        "Domain decomposition interface preconditioners for
                 fourth-order elliptic problems",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "317--331",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90072-8",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55",
  MRnumber =     "1136830 (92g:65125)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@Article{Chan:1991:EDD,
  author =       "Tony F. Chan and Thomas Y. Hou",
  title =        "Eigendecomposition of Domain Decomposition Interface
                 Operators for Constant Coefficient Elliptic Problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "12",
  number =       "6",
  pages =        "1471--1479",
  month =        nov,
  year =         "1991",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65N22 (65F10)",
  MRnumber =     "92f:65129",
  bibdate =      "Sat Oct 24 13:20:45 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Chan:1991:GRC,
  author =       "Tony F. Chan and Thomas Y. Hou and P. L. Lions",
  title =        "Geometry Related Convergence Results for Domain
                 Decomposition Algorithms",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "28",
  number =       "2",
  pages =        "378--391",
  month =        apr,
  year =         "1991",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N55 (65F30)",
  MRnumber =     "92a:65325",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InCollection{Cottet:1991:PGD,
  author =       "G.-H. Cottet",
  booktitle =    "{Vortex dynamics and vortex methods (Seattle, WA,
                 1990)}",
  title =        "Particle-grid domain decomposition methods for the
                 {Navier--Stokes} equations in exterior domains",
  volume =       "28",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "103--117",
  year =         "1991",
  MRclass =      "76M25 (65N55)",
  MRnumber =     "1146470",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lectures in Appl. Math.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cowsar:1991:PDDb,
  author =       "Lawrence C. Cowsar and Mary F. Wheeler",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Proceedings of the Fourth International Symposium on
                 Domain Decomposition Methods for Partial Differential
                 Equations",
  title =        "Parallel Domain Decomposition Method for Mixed Finite
                 Elements for Elliptic Partial Differential Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed Aug 31 09:33:27 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dannevik:1991:CMM,
  author =       "W. Dannevik",
  title =        "Computing modeling in a {MIMD} environment",
  crossref =     "IEEE:1991:PSA",
  pages =        "678--??",
  year =         "1991",
  bibdate =      "Wed Apr 15 16:28:01 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercomputing91.bib",
  acknowledgement = ack-nhfb,
  classification = "A9210D (Dynamics of the deep ocean); A9210F
                 (Dynamics of the upper ocean); A9260B (General
                 circulation); A9260S (Climatology); A9365 (Data
                 acquisition, processing and storage); C6110P (Parallel
                 programming); C7340 (Geophysics)",
  corpsource =   "Lawrence Livermore Nat. Lab., CA, USA",
  keywords =     "1D domain decomposition; 2D decomposition; atmospheric
                 circulation model; atmospheric movements; BBN TC2000
                 MIMD system; climate model numerical algorithms;
                 climatology; data structure definition;
                 distributed-memory programming models; finite
                 difference models; general circulation models;
                 geophysics computing; load-balancing; message-passing
                 paradigms; MIMD environment; oceanography; parallel
                 efficiency; parallel processing; Semtner-Chervin ocean
                 circulation model; shared-memory programming model;
                 spatial resolution; time-advance algorithm selection",
  sponsororg =   "IEEE; ACM",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Dawson:1991:DDM,
  author =       "Clint N. Dawson and Qiang Du",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "A Domain Decomposition Method for Parabolic Equations
                 Based on Finite Elements",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Dawson:1991:FDD,
  author =       "Clint N. Dawson and Qiang Du and Todd F. Dupont",
  title =        "A finite difference domain decomposition algorithm for
                 numerical solution of the heat equation",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "195",
  pages =        "63--71",
  month =        jul,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N06 (65N55)",
  MRnumber =     "91m:65254",
  MRreviewer =   "Zhong Xiong Pan",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "A4410 (Heat conduction (models, phenomenological
                 description)); A0260 (Numerical approximation and
                 analysis); A0230 (Function theory, analysis)",
  corpsource =   "Dept. of Math., Chicago Univ., IL, USA",
  keywords =     "backward differencing; difference domain decomposition
                 algorithm; difference equations; discretization;
                 finite; heat; heat equation; interior; maximum norm
                 error estimates; numerical; one space dimension;
                 parameters; solution; time steps; two space dimensions;
                 values",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{DeRoeck:1991:ATL,
  author =       "Yann-Herv{\'e} {De Roeck} and Patrick Le Tallec",
  editor =       "Roland Glowinski and Yuri Kuznetsov and G{\'e}rard
                 Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Analysis and Test of a Local Domain Decomposition
                 Preconditioner",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@PhdThesis{DeRoeck:1991:ROM,
  author =       "Yann-Herv{\'e} {De Roeck}",
  title =        "{R}{\'e}solution sur Ordinateurs Multi-Processeurs de
                 Probl\`{e}me d'{\'E}lasticit{\'e} par
                 {D}{\'e}composition de Domaines. ({French})
                 [{Multiprocessor}-computer resolution of the elasticity
                 problem by domain decomposition]",
  school =       "Universit{\'e} Paris IX Daupine",
  address =      "Paris, France",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  language =     "French",
}

@Book{Despres:1991:MDD,
  author =       "Bruno Despr{\'e}s",
  title =        "{M}{\'e}thodes de d{\'e}composition de domaine pour
                 les probl{\`e}mes de propagation d'ondes en r{\'e}gime
                 harmonique. {Le} th{\'e}or{\`e}me de {Borg} pour
                 l'{\'e}quation de {Hill} vectorielle. ({French})
                 [{Domain}-decomposition methods for the problem of wave
                 propagation in a harmonic regime. {Borg}'s theorem for
                 the vector {Hill} equation]",
  publisher =    "Institut National de Recherche en Informatique et en
                 Automatique (INRIA)",
  address =      "Rocquencourt, France",
  pages =        "vi + 233",
  year =         "1991",
  ISBN =         "2-7261-0706-0",
  ISBN-13 =      "978-2-7261-0706-5",
  MRclass =      "65N55 (00B15 34A55 34L05 78A40)",
  MRnumber =     "1291197 (95f:65215)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Th{\`e}se, Universit{\'e} de Paris IX (Dauphine),
                 Paris, 1991",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@PhdThesis{Donato:1991:IMS,
  author =       "June M. Donato",
  title =        "Iterative Methods for Scalar and Coupled Systems of
                 Elliptic Equations",
  school =       "Department of Mathematics, UCLA",
  month =        sep,
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "CAM 91-20",
}

@Article{Dorr:1991:DDP,
  author =       "Milo R. Dorr",
  title =        "A domain decomposition preconditioner with reduced
                 rank interdomain coupling",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "333--352",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90073-9",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1136831 (92g:65127)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@Article{Douglas:1991:TAD,
  author =       "Craig C. Douglas",
  title =        "A tupleware approach to domain decomposition methods",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "353--373",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90074-A",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1136832 (92g:65128)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@InProceedings{Dryja:1991:MAM,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  editor =       "Wolfgang Hackbusch",
  booktitle =    "Parallel Algorithms for Partial Differential
                 Equations, Proceedings of the Sixth GAMM-Seminar, Kiel,
                 January 19--21, 1990",
  title =        "Multilevel Additive Methods for Elliptic Finite
                 Element Problems",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "58--69",
  year =         "1991",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1167868 (93b:65188)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dryja:1991:SMP,
  author =       "Maksymilian Dryja",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Substructuring Methods for Parabolic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Ewing:1991:ADD,
  author =       "Richard E. Ewing",
  title =        "Application of domain decomposition techniques in
                 large-scale fluid flow problems",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "375--388",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90075-B",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "76M25 (76S05 76T05)",
  MRnumber =     "1136833 (92j:76071)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Wyoming",
  affiliationaddress = "Laramie, WY, USA",
  classification = "631; 723; 921; 931",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Computers, Supercomputer --- Applications; Domain
                 Decomposition Techniques; Flow Of Fluids; Flow Of
                 Fluids --- Multiphase; Fluid Dynamics --- Computer
                 Simulation; Large Scale Fluid Flow Problems; Local Grid
                 Refinement; Mathematical Models; Mathematical
                 Techniques --- Algorithms; Mathematical Techniques ---
                 Finite Difference Method; Numerical Simulation;
                 Preconditioned Gradient Type Iterative Techniques;
                 Stand Alone Iterative Methods",
}

@TechReport{Ewing:1991:ASA,
  author =       "Richard E. Ewing and Junping Wang",
  title =        "Analysis of the {Schwarz} Algorithm for Mixed Finite
                 Element Methods",
  institution =  "University of Wyoming",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InBook{Freund:1991:ISL,
  author =       "R. Freund and G. H. Golub and N. Nachtigal",
  title =        "Iterative Solution of Linear Systems",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "57--100",
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  series =       "Acta Numerica 1992",
}

@InCollection{Georgiev:1991:DDM,
  author =       "K. Georgiev and S. Margenov",
  booktitle =    "{Computer arithmetic, scientific computation and
                 mathematical modelling (Albena, 1990)}",
  title =        "On domain decomposition methods for problems with
                 discontinuous coefficients",
  volume =       "12",
  publisher =    "Baltzer",
  address =      "Basel, Switzerland",
  pages =        "281--292",
  year =         "1991",
  MRclass =      "65N55 (65F10 65N22 65N30)",
  MRnumber =     "1189148",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "IMACS Ann. Comput. Appl. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Goovaerts:1991:ESD,
  author =       "D. Goovaerts and T. F. Chan and Robert Piessens",
  title =        "The eigenvalue spectrum of domain decomposed
                 preconditioners",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "389--410",
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90076-C",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (65F15)",
  MRnumber =     "1136834 (92g:65130)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@InProceedings{Gropp:1991:PDD,
  author =       "William D. Gropp and David E. Keyes",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Parallel Domain Decomposition and the Solution of
                 Nonlinear Systems of Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Haase:1991:ADDa,
  author =       "G. Haase and U. Langer and A. Meyer",
  title =        "The Approximate {Dirichlet} Domain Decomposition
                 Method. Part {I}: An Algebraic Approach",
  journal =      j-COMPUTING,
  volume =       "47",
  number =       "2",
  pages =        "137--151",
  year =         "1991",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02253431",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65N55 (65F10 65N22)",
  MRnumber =     "1139433 (93e:65146a)",
  MRreviewer =   "Jan Mandel",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database; OCLC Contents1st database",
  acknowledgement = ack-nhfb,
  affiliation =  "Technical Univ of Chemnitz",
  affiliationaddress = "Chemnitz, Germany",
  classification = "723; 921",
  fjournal =     "Computing. Archives for Scientific Computing",
  journalabr =   "Comput Vienna New York",
  keywords =     "Computer Systems Programming --- Multiprocessing
                 Programs; Conjugate Gradient Methods; Dirichlet
                 Problems; Domain Decomposition; Mathematical
                 Techniques; Mathematical Techniques --- Boundary Value
                 Problems",
}

@Article{Haase:1991:ADDb,
  author =       "G. Haase and U. Langer and A. Meyer",
  title =        "The Approximate {Dirichlet} Domain Decomposition
                 Method. Part {II}: Applications to $2$nd-order Elliptic
                 {B.V.P.s}",
  journal =      j-COMPUTING,
  volume =       "47",
  number =       "2",
  pages =        "153--167",
  year =         "1991",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02253432",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65N55 (65F10 65N22)",
  MRnumber =     "1139434 (93e:65146b)",
  MRreviewer =   "Jan Mandel",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database; OCLC Contents1st database",
  acknowledgement = ack-nhfb,
  affiliation =  "Technical Univ of Chemnitz",
  affiliationaddress = "Chemnitz, Germany",
  classification = "723; 921",
  fjournal =     "Computing. Archives for Scientific Computing",
  journalabr =   "Comput Vienna New York",
  keywords =     "Computer Systems Programming --- Multiprocessing
                 Programs; Domain Decomposition; Mathematical
                 Techniques; Mathematical Techniques --- Boundary Value
                 Problems",
}

@InCollection{Haase:1991:UMP,
  author =       "G. Haase and U. Langer",
  booktitle =    "{Parallel algorithms for partial differential
                 equations (Kiel, 1990)}",
  title =        "On the use of multigrid preconditioners in the domain
                 decomposition method",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "101--110",
  year =         "1991",
  MRclass =      "65N55 (65F35 65N30)",
  MRnumber =     "1167871",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@TechReport{Hackbusch:1991:FDM,
  author =       "Wolfgang Hackbusch",
  title =        "The Frequency Decomposition Multi-Grid Method, Part
                 {II}: Convergence Analysis Based on the Additive
                 {Schwarz} Method",
  institution =  "Christian-Albrecht-Universit\H{a}t, Kiel, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Hu:1991:PSE,
  author =       "Xian Cheng Hu and De Lin Chu",
  title =        "A preconditioner for solving elliptic problems based
                 on domain decomposition",
  journal =      "J. Tsinghua Univ.",
  volume =       "31",
  number =       "6",
  pages =        "12--19",
  year =         "1991",
  CODEN =        "QDXKE8",
  ISSN =         "1000-0054",
  MRclass =      "65N55",
  MRnumber =     "1169004 (93d:65107)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Tsinghua University. Science and
                 Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban",
}

@Article{Ilin:1991:AIF,
  author =       "V. P. Il{\cprime}in",
  title =        "Application of incomplete factorizations in domain
                 decomposition methods",
  journal =      "Soviet J. Numer. Anal. Math. Modelling",
  volume =       "6",
  number =       "4",
  pages =        "299--314",
  year =         "1991",
  ISSN =         "0169-2895",
  MRclass =      "65N55 (65N12)",
  MRnumber =     "1136530 (92h:65184)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Soviet Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@Article{Jung:1991:AMM,
  author =       "Michael Jung and Ulrich Langer",
  title =        "Applications of multilevel methods to practical
                 problems",
  journal =      "Surveys Math. Indust.",
  volume =       "1",
  number =       "3",
  pages =        "217--257",
  year =         "1991",
  CODEN =        "SMINER",
  ISSN =         "0938-1953",
  MRclass =      "65N55 (65N30 65Y05 73V05 78-08)",
  MRnumber =     "1144247 (92i:65185)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Surveys on Mathematics for Industry",
}

@Article{Kamenetskii:1991:BEP,
  author =       "D. S. Kamenetski{\u\i} and V. S.
                 Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov",
  title =        "Boundary equations with projectors in composite
                 domains",
  journal =      "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint",
  volume =       "112",
  number =       "??",
  pages =        "20",
  year =         "1991",
  MRclass =      "65N55",
  MRnumber =     "1278545 (94m:65187)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Akademiya Nauk SSSR. Institut Prikladno\u\i\
                 Matematiki. Preprint",
}

@Article{Kamenetskii:1991:DAB,
  author =       "D. S. Kamenetski{\u\i} and V. S.
                 Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov",
  title =        "Decomposition algorithms based on boundary equations
                 with projectors",
  journal =      "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint",
  volume =       "113",
  number =       "??",
  pages =        "23",
  year =         "1991",
  MRclass =      "65N55",
  MRnumber =     "1278546 (95e:65117)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Akademiya Nauk SSSR. Institut Prikladno\u\i\
                 Matematiki. Preprint",
}

@InCollection{Kiss:1991:PDD,
  author =       "B{\'e}la Kiss and Gy{\H{o}}z{\H{o}} Moln{\'a}rka",
  booktitle =    "{Parallel algorithms for partial differential
                 equations (Kiel, 1990)}",
  title =        "A preconditioned domain decomposition algorithm for
                 the solution of the elliptic {Neumann} problem",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "129--139",
  year =         "1991",
  MRclass =      "65N55 (65F35 65N30 65Y05)",
  MRnumber =     "1167874 (93a:65172)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@InCollection{Kojima:1991:IMF,
  author =       "Fumio Kojima",
  booktitle =    "{Computation and control, II (Bozeman, MT, 1990)}",
  title =        "Identification of microscopic flaws arising in thermal
                 tomography by domain decomposition method",
  volume =       "11",
  publisher =    "Birkh{\"a}user Boston",
  address =      "Boston, MA",
  pages =        "237--245",
  year =         "1991",
  MRclass =      "93B30",
  MRnumber =     "1140025",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Progr. Systems Control Theory",
  acknowledgement = ack-nhfb,
}

@InCollection{Kolodziej:1991:DDB,
  author =       "Jan A. Ko{\l}odziej and Grzegorz Musielak",
  booktitle =    "{Parallel algorithms for partial differential
                 equations (Kiel, 1990)}",
  title =        "Domain decomposition in boundary collocation method",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "140--156",
  year =         "1991",
  MRclass =      "65N55 (65N35)",
  MRnumber =     "1167875",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@Article{Kuznetsov:1991:MDD,
  author =       "S. B. Kuznetsov",
  title =        "A method of domain decomposition in {$3$-D} problems
                 of magnetostatics",
  journal =      "EDF Bull. Direction {\'E}tudes Rech. S{\'e}r. C Math.
                 Inform.",
  volume =       "4",
  number =       "??",
  pages =        "iii + 17--22",
  year =         "1991",
  ISSN =         "0013-4511",
  MRclass =      "35Q60 (78-08 78A30)",
  MRnumber =     "1150858",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "{\'E}lectricit{\'e} de France. Bulletin de la
                 Direction des {\'E}tudes et Recherches. S{\'e}rie C.
                 Math{\'e}matiques. Informatique",
}

@InProceedings{Kuznetsov:1991:ODD,
  author =       "Yuri A. Kuznetsov",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Overlapping Domain Decomposition Methods for
                 {FE}-Problems with Elliptic Singular Perturbed
                 Operators",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Lu:1991:PAV,
  author =       "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih",
  title =        "Parallel algorithms for variational inequalities based
                 on domain decomposition",
  journal =      "Systems Sci. Math. Sci.",
  volume =       "4",
  number =       "4",
  pages =        "341--348",
  year =         "1991",
  CODEN =        "SMASE2",
  ISSN =         "1000-9590",
  MRclass =      "49J40 (47H19 49M27 65K10 65Y05)",
  MRnumber =     "1142773 (93b:49010)",
  MRreviewer =   "Ya. I. Al{\cprime}ber",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Systems Science and Mathematical Sciences",
}

@Article{Mandel:1991:DDP,
  author =       "Jan Mandel and G. Scott Lett",
  title =        "Domain decomposition preconditioning for {$p$}-version
                 finite elements with high aspect ratios",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "411--425",
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90077-D",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (65N30 65Y05)",
  MRnumber =     "1136835 (93c:65154)",
  MRreviewer =   "Lutz Tobiska",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@Book{Marchuk:1991:VPS,
  editor =       "G. I. Marchuk",
  title =        "Vychislitelnye protsessy i sistemy. {Vyp}. 8",
  publisher =    "Nauka",
  address =      "Moscow, Russia",
  pages =        "382",
  year =         "1991",
  ISBN =         "5-02-014291-3",
  ISBN-13 =      "978-5-02-014291-6",
  MRclass =      "65-06",
  MRnumber =     "1151878 (92i:65008)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Meddahi:1991:DDM,
  author =       "S. Meddahi and F. Gaspar",
  booktitle =    "{Proceedings of the XII Congress on Differential
                 Equations and Applications/II Congress on Applied
                 Mathematics (Spanish) (Oviedo, 1991)}",
  title =        "A domain-decomposition method for a linear parabolic
                 problem",
  publisher =    "Universidad de Oviedo",
  address =      "Oviedo, Spain",
  pages =        "251--256",
  year =         "1991",
  MRclass =      "65N55 (65M55)",
  MRnumber =     "1202464 (93j:65204)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Meurant:1991:DDM,
  author =       "G{\'e}rard A. Meurant",
  title =        "A domain decomposition method for parabolic problems",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "4--5",
  pages =        "427--441",
  month =        nov,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90078-E",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65M55 (65M06)",
  MRnumber =     "1136836 (93c:65113)",
  MRreviewer =   "Lutz Tobiska",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
}

@InProceedings{Meurant:1991:NED,
  author =       "G{\'e}rard A. Meurant",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Numerical Experiments with a Domain Decomposition
                 Method for Parabolic Problems on Parallel Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Miellou:1991:SDM,
  author =       "J.-C. Miellou and L. Giraud and A. Laouar and P.
                 Spiteri",
  booktitle =    "{Progress in partial differential equations: the Metz
                 surveys}",
  title =        "Subdomain decomposition methods with overlapping and
                 asynchronous iterations",
  volume =       "249",
  publisher =    "Longman Sci. Tech.",
  address =      "Harlow, UK",
  pages =        "166--183",
  year =         "1991",
  MRclass =      "65N55",
  MRnumber =     "1251562 (94h:65125)",
  MRreviewer =   "Beny Neta",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Pitman Res. Notes Math. Ser.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Nepomnyaschikh:1991:ADD,
  author =       "Sergey V. Nepomnyaschikh",
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Application of Domain Decomposition to Elliptic
                 Problems on with Discontinuous Coefficients",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Nepomnyaschikh:1991:ETC,
  author =       "Sergey V. Nepomnyaschikh and Olof B. Widlund",
  title =        "Extension Theorems for the Case of Locally Refined
                 Meshes",
  number =       "",
  institution =  "Dept. of Computer Science, Courant Institute of
                 Mathematical Sciences",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Article{NKaoua:1991:SNR,
  author =       "T. N'Kaoua",
  title =        "Solution of the nonlinear radiative transfer equations
                 by a fully implicit matrix {Monte Carlo} method coupled
                 with the {Rosseland} diffusion equation via domain
                 decomposition",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "12",
  number =       "3",
  pages =        "505--520",
  month =        may,
  year =         "1991",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "85A25 (65C05 85-04)",
  MRnumber =     "91k:85011",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "A0540 (Fluctuation phenomena, random processes, and
                 Brownian motion); A0560 (Transport processes: theory);
                 A4440 (Heat radiation)",
  corpsource =   "Dept. de Math. Appliqu{\'e}es, CEA, Villeneuve
                 Saint-Georges, France",
  keywords =     "diffusion; domain decomposition; energy balance
                 equation; fully implicit matrix Monte Carlo method;
                 heat transfer; Monte Carlo methods; nonlinear radiative
                 transfer equations; particle tracking; radiative
                 transfer; Rosseland diffusion equation",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Oswald:1991:BPP,
  author =       "Peter Oswald",
  title =        "On a {BPX}-Preconditioner For {P}1 Elements",
  number =       "Math./91/2",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "(part 2)",
}

@InProceedings{Oswald:1991:DNE,
  author =       "Peter Oswald",
  booktitle =    "Proc. Int. Conf. Theory of Functions, Varna 91",
  title =        "On Discrete Norm Estimates Related to Multilevel
                 Preconditioners in the Finite Element Method",
  publisher =    "????",
  address =      "????",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@TechReport{Oswald:1991:MPA,
  author =       "Peter Oswald",
  title =        "On multilevel preconditioners adapted to a variable
                 coefficient problem",
  number =       "Math./91/1",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Oswald:1991:PDB,
  author =       "Peter Oswald",
  title =        "Preconditioners for discretizations of the biharmonic
                 equation by rectangular finite elements",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Oswald:1991:TRM,
  author =       "Peter Oswald",
  title =        "Two remarks on multilevel preconditioners",
  number =       "Math./91/2",
  institution =  "Friedrich Schiller Universit\H{a}t, Jena, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "(part 2)",
}

@InCollection{Papadopoulos:1991:DDF,
  author =       "C. A. Papadopoulos and K.-P. Wang and J. M. Sloss and
                 J. C. {Bruch, Jr.}",
  booktitle =    "{Computational modelling of free and moving boundary
                 problems, Vol.\ 1 (Southampton, 1991)}",
  title =        "Domain decomposition for free boundary seepage",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "37--48",
  year =         "1991",
  MRclass =      "76M25 (65N55 76S05)",
  MRnumber =     "1162748",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Pasquarelli:1991:DDS,
  author =       "Franco Pasquarelli",
  title =        "Domain decomposition for spectral approximation to
                 {Stokes} equations via divergence-free functions",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "6",
  pages =        "493--514",
  month =        dec,
  year =         "1991",
  CODEN =        "ANMAEL",
  DOI =          "http://dx.doi.org/10.1016/0168-9274(91)90111-C",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65N55 (65N30 65N35 76D07 76M25)",
  MRnumber =     "1140285 (92i:65188)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ Cattolica",
  affiliationaddress = "Brescia, Italy",
  classification = "921.6",
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journalabr =   "Appl Numer Math",
  keywords =     "Diversion-Free Functions; Domain Decomposition;
                 Galerkin Approach; Mathematical Techniques;
                 Mathematical Techniques --- Function Evaluation;
                 Numerical Methods; Spectral Approximation; Spectrum
                 Analysis --- Calculations; Stokes Equations",
}

@TechReport{Pavarino:1991:ASM,
  author =       "Luca F. Pavarino",
  title =        "An Additive {Schwarz} Method for the p-version Finite
                 Element Method",
  number =       "580",
  institution =  "Courant Institute of Mathematical Sciences, Department
                 of Computer Science",
  month =        sep,
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "A revised version has been submitted to Numer. Math.",
}

@Article{Quarteroni:1991:CVI,
  author =       "A. Quarteroni and G. Sacchi Landriani and A. Valli",
  title =        "Coupling of viscous and inviscid {Stokes} equations
                 via a domain decomposition method for finite elements",
  journal =      j-NUM-MATH,
  volume =       "59",
  number =       "8",
  pages =        "831--859",
  month =        oct,
  year =         "1991",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N55 (65N30 76D05 76M10)",
  MRnumber =     "93b:65190",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "A0260 (Numerical approximation and analysis); A4710
                 (General theory, simulation and other computational
                 methods); C4170 (Differential equations); C4185 (Finite
                 element analysis); C7320 (Physics and Chemistry)",
  corpsource =   "Istituto di Analisi Numerica, CNR, Pavia, Italy",
  keywords =     "convergence analysis; convergence of numerical
                 methods; domain decomposition method; finite element
                 analysis; finite elements; generalized Stokes problem;
                 inviscid Stokes equations; iteration-by-subdomain
                 algorithms; iterative procedure; Navier--Stokes
                 equations; numerical discretization; physics computing;
                 stability; viscosity",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Quarteroni:1991:DDP,
  author =       "Alfio Quarteroni",
  title =        "Domain decomposition and parallel processing for the
                 numerical solution of partial differential equations",
  journal =      "Surveys Math. Indust.",
  volume =       "1",
  number =       "1",
  pages =        "75--118",
  year =         "1991",
  CODEN =        "SMINER",
  ISSN =         "0938-1953",
  MRclass =      "65N55 (65N30 65Y05 76M25)",
  MRnumber =     "1133619 (92i:65189)",
  MRreviewer =   "Timothy Nigel Phillips",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Surveys on Mathematics for Industry",
}

@InCollection{Quarteroni:1991:TAS,
  author =       "A. Quarteroni and A. Valli",
  booktitle =    "{Applied and industrial mathematics (Venice, 1989)}",
  title =        "Theory and application of {Steklov--Poincar{\'e}}
                 operators for boundary-value problems",
  volume =       "56",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "179--203",
  year =         "1991",
  MRclass =      "35J30 (35Q30 65N55 76D07 76M99)",
  MRnumber =     "1147198 (92m:35069)",
  MRreviewer =   "I. Aganovi{\'c}",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
}

@InCollection{Sbosny:1991:DDM,
  author =       "Hannes Sbosny",
  booktitle =    "{Multigrid methods: special topics and applications,
                 II (Bonn, 1990)}",
  title =        "Domain decomposition methods and parallel multigrid
                 algorithms",
  volume =       "189",
  publisher =    "Gesellsch. Math. Datenverarbeitung",
  address =      "St. Augustin, Switzerland",
  pages =        "297--308",
  year =         "1991",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1142834",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "GMD-Stud.",
  acknowledgement = ack-nhfb,
}

@InCollection{Sbosny:1991:PMU,
  author =       "Hannes Sbosny and Kristian Witsch",
  booktitle =    "{Parallel algorithms for partial differential
                 equations (Kiel, 1990)}",
  title =        "Parallel multigrid using domain decomposition",
  volume =       "31",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "200--215",
  year =         "1991",
  MRclass =      "65N55 (65N30 65Y05)",
  MRnumber =     "1167879 (93a:65173)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@Article{Scroggs:1991:PMD,
  author =       "Jeffrey S. Scroggs",
  title =        "A physically motivated domain decomposition for
                 singularly perturbed equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "28",
  number =       "1",
  pages =        "168--178",
  month =        feb,
  year =         "1991",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65M55 (65N55 76H05 76M25)",
  MRnumber =     "91m:65245",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Smith:1991:DDA,
  author =       "Barry F. Smith",
  title =        "A Domain Decomposition Algorithm for Elliptic Problems
                 in Three Dimensions",
  journal =      j-NUM-MATH,
  volume =       "60",
  number =       "2",
  pages =        "219--234",
  month =        nov,
  year =         "1991",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01385722",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "1133580 (92m:65159)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C4185 (Finite element analysis)",
  corpsource =   "Argonne Nat. Lab., IL, USA",
  fjournal =     "Numerische Mathematik",
  keyword =      "domain decomposition, wirebasket methods, iterative
                 substructuring",
  keywords =     "domain decomposition; elliptic problems; finite
                 element analysis; iterative methods; potential
                 parallelism; substructuring algorithm; three
                 dimensions",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Szabo:1991:FEA,
  author =       "Barna Szab{\'o} and Ivo Babu{\v{s}}ka",
  title =        "Finite Element Analysis",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xv + 368",
  year =         "1991",
  ISBN =         "0-471-50273-1",
  ISBN-13 =      "978-0-471-50273-9",
  LCCN =         "TA347.F5 S98 1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Tallec:1991:DDM,
  author =       "Patrick Le Tallec and Yann-Herv{\'e} De Roeck and
                 Marina Vidrascu",
  title =        "Domain-decomposition methods for large linearly
                 elliptic three dimensional problems",
  journal =      j-COMP-APPL-MATH,
  volume =       "34",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Elsevier Science Publishers, Amsterdam",
}

@InCollection{Thomas:1991:DDE,
  author =       "J.-M. Thomas",
  booktitle =    "{Math{\'e}matiques appliqu{\'e}es aux sciences de
                 l'ing{\'e}nieur (Santiago, 1989)}. ({French})
                 [{Applied} mathematics in engineering science]",
  title =        "{D}{\'e}composition de domaines et {\'e}l{\'e}ments
                 finis. ({French}) [{Domain} decomposition and finite
                 elements]",
  publisher =    "C{\'e}padu{\`e}s",
  address =      "Toulouse, France",
  pages =        "395--410",
  year =         "1991",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "1142633 (92m:65160)",
  MRreviewer =   "O. Widlund",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@Article{Tong:1991:DDP,
  author =       "Charles H. Tong and Tony F. Chan and C. C. Jay Kuo",
  title =        "A Domain Decomposition Preconditioner Based on a
                 Change to a Multilevel Nodal Basis",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "12",
  number =       "6",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Trompert:1991:SRM,
  author =       "R. A. Trompert and J. G. Verwer",
  title =        "A static-regridding method for two-dimensional
                 parabolic partial differential equations",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "1",
  pages =        "65--90",
  month =        aug,
  year =         "1991",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65M50",
  MRnumber =     "92h:65146",
  bibdate =      "Sat Feb 8 10:10:32 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Centre for Mathematics and Computer Science",
  affiliationaddress = "Amsterdam, Neth",
  classification = "521; 723; 921",
  journalabr =   "Appl Numer Math",
  keywords =     "Combustion; Computers--Applications; Domain
                 Decomposition; Mathematical Models; Mathematical
                 Techniques--Differential Equations; Partial
                 Differential Equations; Static Regridding Method;
                 Subdomains",
}

@Article{Vabishchevich:1991:NSE,
  author =       "P. N. Vabishchevich",
  title =        "Numerical solution of elliptic boundary value problems
                 on composite grids",
  journal =      "Mat. Model.",
  volume =       "3",
  number =       "8",
  pages =        "112--123",
  year =         "1991",
  ISSN =         "0234-0879",
  MRclass =      "65N55",
  MRnumber =     "1157314 (92m:65161)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Matematicheskoe Modelirovanie",
}

@Article{Xu:1991:CCW,
  author =       "Jinchao Xu",
  title =        "Counterexamples concerning a weighted ${L}^2$
                 projection",
  journal =      j-MATH-COMPUT,
  volume =       "57",
  number =       "196",
  pages =        "563--568",
  month =        oct,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65M60)",
  MRnumber =     "92b:65090",
  MRreviewer =   "J. T. Oden",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290T (Finite element analysis); B0290B (Error
                 analysis in numerical methods); C4185 (Finite element
                 analysis); C4110 (Error analysis in numerical
                 methods)",
  corpsource =   "Pennsylvania State Univ., University Park, PA, USA",
  keywords =     "error analysis; finite element analysis; L/sup
                 2/-projection; stability estimates",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Zhang:1991:MML,
  author =       "Sheng Zhang and Hong Ci Huang",
  title =        "Multigrid multi-level domain decomposition",
  journal =      j-J-COMP-MATH,
  volume =       "9",
  number =       "1",
  pages =        "17--27",
  year =         "1991",
  CODEN =        "JCMMEB",
  ISSN =         "0254-9409",
  MRclass =      "65N55",
  MRnumber =     "1150162 (92m:65162)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Mathematics. An International
                 Journal on Numerical Methods, Analysis and
                 Applications",
}

@PhdThesis{Zhang:1991:SDD,
  author =       "Xuejun Zhang",
  title =        "Studies in Domain Decomposition: Multilevel Methods
                 and the Biharmonic {Dirichlet} Problem",
  number =       "584",
  institution =  "Courant Institute of Mathematical Sciences, Department
                 of Mathematics",
  school =       "Courant Institute, New York University",
  month =        sep,
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Baiocchi:1992:SGM,
  author =       "C. Baiocchi and F. Brezzi and L. D. Marini",
  booktitle =    "{Future tendencies in computer science, control and
                 applied mathematics (Paris, 1992)}",
  title =        "Stabilization of {Galerkin} methods and applications
                 to domain decomposition",
  volume =       "653",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "345--355",
  year =         "1992",
  MRclass =      "65N12 (65N55)",
  MRnumber =     "1228218 (94g:65119)",
  MRreviewer =   "Dietrich Braess",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Comput. Sci.",
  acknowledgement = ack-nhfb,
}

@InCollection{Beckie:1992:MAD,
  author =       "R. Beckie and E. F. Wood and A. A. Aldama",
  booktitle =    "{Computational methods in water resources, IX, Vol. 1
                 (Denver, CO, 1992)}",
  title =        "A multigrid acceleration for domain decomposition
                 mixed finite element simulation of groundwater flow",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "589--596",
  year =         "1992",
  MRclass =      "76M10 (76S05 86-08)",
  MRnumber =     "1195368",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bjorstad:1992:DDA,
  author =       "Petter E. Bj{\o}rstad and Morten Skogen",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Domain Decomposition Algorithms of {Schwarz} Type,
                 Designed for Massively Parallel Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Black:1992:PCU,
  author =       "Kelly Black",
  title =        "Polynomial collocation using a domain decomposition
                 solution to parabolic {PDEs} via the penalty method and
                 explicit/implicit time marching",
  journal =      "J. Sci. Comput.",
  volume =       "7",
  number =       "4",
  pages =        "313--338",
  year =         "1992",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01108035",
  ISSN =         "0885-7474",
  MRclass =      "65M55 (80-08 80A20)",
  MRnumber =     "1214932 (93k:65076)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@InCollection{Boglaev:1992:DDT,
  author =       "I. P. Boglaev and V. V. Sirotkin",
  booktitle =    "{Computational and applied mathematics, II (Dublin,
                 1991)}",
  title =        "Domain decomposition technique for singularly
                 perturbed problems and its parallel implementation",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "259--268",
  year =         "1992",
  MRclass =      "65N55 (65L10)",
  MRnumber =     "1204690 (94a:65063)",
  MRreviewer =   "Relja Vulanovi{\'c}",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Bornemann:1992:BNE,
  author =       "Folkmar Bornemann and Harry Yserentant",
  title =        "A Basic Norm Equivalence for the Theory of Multilevel
                 Methods",
  institution =  "Zuse-Zentrum, Berlin",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Numer. Math",
}

@Article{Bramble:1992:DDM,
  author =       "James H. Bramble and Richard E. Ewing and Rossen R.
                 Parashkevov and Joseph E. Pasciak",
  title =        "Domain Decomposition Methods for Problems with Partial
                 Refinement",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "1",
  pages =        "397--410",
  month =        jan,
  year =         "1992",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "92i:65179",
  bibdate =      "Sat Oct 24 13:21:07 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Brezzi:1992:SGM,
  author =       "F. Brezzi and C. Baiocchi and L. D. Marini",
  title =        "Stabilization of {Galerkin} methods and applications
                 to domain decomposition",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "653",
  pages =        "345--??",
  year =         "1992",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  bibdate =      "Mon May 13 11:46:24 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/lncs1992.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cai:1992:CRE,
  author =       "Xiao-Chuan Cai and William D. Gropp and David E.
                 Keyes",
  title =        "Convergence rate estimate for a domain decomposition
                 method",
  journal =      j-NUM-MATH,
  volume =       "61",
  number =       "2",
  pages =        "153--169",
  month =        mar,
  year =         "1992",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N55 (65N12 65N30)",
  MRnumber =     "92k:65181",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290T (Finite element analysis); C4185 (Finite
                 element analysis)",
  corpsource =   "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
  keywords =     "algebraic equations; convergence of numerical methods;
                 convergence rate analysis; convergence rate estimate;
                 Dirichlet boundary conditions; domain decomposition
                 method; finite element analysis; finite element
                 discretization; indefinite elliptic problems; mesh
                 size; preconditioned GMRES method; substructures",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Cai:1992:CSD,
  author =       "Xiao-Chuan Cai and William D. Gropp and David E.
                 Keyes",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "A Comparison of Some Domain Decomposition Algorithms
                 for Nonsymmetric Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Cai:1992:DDA,
  author =       "Xiao-Chuan Cai and Olof Widlund",
  title =        "Domain Decomposition Algorithms for Indefinite
                 Elliptic Problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "1",
  pages =        "243--258",
  month =        jan,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Cao:1992:FAP,
  author =       "Zhi Hao Cao",
  title =        "{Fourier} analysis of preconditioners for domain
                 decomposition",
  journal =      "Numer. Math. J. Chinese Univ.",
  volume =       "14",
  number =       "3",
  pages =        "253--258",
  year =         "1992",
  ISSN =         "1000-081X",
  MRclass =      "65N55 (65T99)",
  MRnumber =     "1260626 (94m:65186)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Mathematics. A Journal of Chinese
                 Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}

@TechReport{Chan:1992:EVV,
  author =       "Tony F. Chan and Tarek P. Mathew and Jian-Ping Shao",
  title =        "Efficient Variants of the Vertex Space Domain
                 Decomposition Algorithm",
  number =       "CAM 92-07",
  institution =  "Department of Mathematics, UCLA",
  month =        jan,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear in SIAM J. Scientific and Statistical
                 Computing",
}

@Article{Chan:1992:IPT,
  author =       "Tony F. Chan and Tarek P. Mathew",
  title =        "The Interface Probing Technique in Domain
                 Decomposition",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "1",
  pages =        "212--238",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Chan:1992:RBO,
  author =       "Tony F. Chan and Danny Goovaerts",
  title =        "On the Relationship between Overlapping and
                 Nonoverlapping Domain Decomposition Methods",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "2",
  pages =        "663--670",
  month =        apr,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "93a:65170",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
}

@Article{Chu:1992:CPB,
  author =       "De Lin Chu and Xian Cheng Hu",
  title =        "Construction of a preconditioner based on domain
                 decomposition for solving elliptic problems",
  journal =      "Numer. Math. J. Chinese Univ.",
  volume =       "14",
  number =       "4",
  pages =        "363--371",
  year =         "1992",
  ISSN =         "1000-081X",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1229271 (94f:65118)",
  MRreviewer =   "Min Sun",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Mathematics. A Journal of Chinese
                 Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}

@Unpublished{Cowsar:1992:BDD,
  author =       "Lawrence Cowsar and Jan Mandel and Mary F. Wheeler",
  title =        "Balancing Domain Decomposition for Mixed Problems in
                 Oil Reservoir Simulation",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Presented at the 6th International Symposium on Domain
                 Decomposition Methods, Como, Italy, 1992",
}

@InProceedings{Cowsar:1992:DPT,
  author =       "L. C. Cowsar and E. J. Dean and R. Glowinski and P. Le
                 Tallec and C. H. Li and J. P{\'e}riaux and M. F.
                 Wheeler",
  booktitle =    "{Parallel processing for scientific computing
                 (Houston, TX, 1991)}",
  title =        "Decomposition principles and their applications in
                 scientific computing",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "213--237",
  year =         "1992",
  MRclass =      "65N55 (65K10 65N22 65Y05)",
  MRnumber =     "1194910 (93j:65200)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cowsar:1992:PMD,
  author =       "Lawrence C. Cowsar and Alan Weiser and Mary F.
                 Wheeler",
  editor =       "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant
                 and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "Parallel Multigrid and Domain Decomposition Algorithms
                 for Elliptic Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "376--385",
  year =         "1992",
  ISBN =         "0-89871-288-2",
  ISBN-13 =      "978-0-89871-288-9",
  LCCN =         "QA402.2 .I57 1991",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1189588",
  bibdate =      "Tue Sep 21 21:25:17 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib",
  acknowledgement = ack-nhfb,
  alleditor =    "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant
                 and Jeffrey Scroggs and Robert G. Voigt",
  bookpages =    "xiii + 623",
  xxeditor =     "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
}

@Article{Dawson:1992:EIC,
  author =       "Clint N. Dawson and Todd F. Dupont",
  title =        "Explicit\slash implicit conservative {Galerkin} domain
                 decomposition procedures for parabolic problems",
  journal =      j-MATH-COMPUT,
  volume =       "58",
  number =       "197",
  pages =        "21--34",
  month =        jan,
  year =         "1992",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "92h:65183",
  MRreviewer =   "T. R. Hopkins",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InCollection{DeValerio:1992:DDM,
  author =       "M. {De Valerio} and M. Sch{\"a}fer",
  booktitle =    "{Parallel computing '91 (London, 1991)}",
  title =        "Domain decomposition methods for the numerical
                 solution of elliptic partial differential equations on
                 array processors",
  volume =       "4",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "167--173",
  year =         "1992",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1193749",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Adv. Parallel Comput.",
  acknowledgement = ack-nhfb,
}

@Book{dHennezel:1992:MDD,
  author =       "Fr{\'e}d{\'e}ric d'Hennezel",
  title =        "{M}{\'e}thodes de d{\'e}composition de domaine dans
                 les structures et les multistructures {\'e}lastiques.
                 ({French}) [{Domain}-decomposition methods in
                 structures and multistructures]",
  publisher =    "Institut National de Recherche en Informatique et en
                 Automatique (INRIA)",
  address =      "Rocquencourt, France",
  pages =        "158",
  year =         "1992",
  ISBN =         "2-7261-0725-7",
  ISBN-13 =      "978-2-7261-0725-6",
  MRclass =      "73V20 (65N55 73C99 73K99)",
  MRnumber =     "1346303 (96e:73091)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Th{\`e}se, Universit{\'e} Paris VI, Paris, 1992",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@Article{Douglas:1992:MMD,
  author =       "Craig C. Douglas",
  title =        "{MGNet}: a multigrid and domain decomposition
                 network",
  journal =      j-SIGNUM,
  volume =       "27",
  number =       "4",
  pages =        "2--8",
  month =        oct,
  year =         "1992",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  bibdate =      "Tue Apr 12 07:50:22 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dryja:1992:ASM,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Additive {Schwarz} Methods for Elliptic Finite Element
                 Problems in Three Dimensions",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Dryja:1992:DDA,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  title =        "Domain Decomposition Algorithms with Small Overlap",
  number =       "606",
  institution =  "Department of Computer Science, Courant Institute",
  month =        may,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear in SIAM J. Sci. Stat. Comput.",
}

@Article{Farhat:1992:UDD,
  author =       "Charbel Farhat and Fran{\c{c}}ois-Xavier Roux",
  title =        "An Unconventional Domain Decomposition Method for an
                 Efficient Parallel Solution of Large-Scale Finite
                 Element Systems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "1",
  pages =        "379--396",
  month =        jan,
  year =         "1992",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65N55 (65N30 65Y05)",
  MRnumber =     "92g:65129",
  bibdate =      "Sat Oct 24 13:21:07 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gastaldi:1992:DDM,
  author =       "Lucia Gastaldi",
  title =        "A domain decomposition method associated with the
                 streamline diffusion {FEM} for linear hyperbolic
                 systems",
  journal =      j-APPL-NUM-MATH,
  volume =       "10",
  number =       "5",
  pages =        "357--380",
  month =        oct,
  year =         "1992",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65M55 (76M10 76M20)",
  MRnumber =     "93j:65144",
  MRreviewer =   "Hong Yuan Fu",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gropp:1992:DDL,
  author =       "William D. Gropp and David E. Keyes",
  title =        "Domain Decomposition with Local Mesh Refinement",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "4",
  pages =        "967--993",
  month =        jul,
  year =         "1992",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "93b:65189",
  bibdate =      "Sat Oct 24 13:21:07 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Gropp:1992:EDDa,
  author =       "William D. Gropp and Barry F. Smith",
  title =        "Experiences with Domain Decomposition in Three
                 Dimensions: Overlapping {Schwarz} Methods",
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear in the Proceedings of the Sixth
                 International Symposium on Domain Decomposition
                 Methods",
}

@InProceedings{Gropp:1992:EDDb,
  author =       "William D. Gropp and Barry F. Smith",
  booktitle =    "Domain Decomposition Methods in Science and
                 Engineering",
  title =        "Experiences with Domain Decomposition in Three
                 Dimensions: Overlapping {S}chwarz Methods",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "323--333",
  year =         "1992",
  ISBN =         "0-8218-5158-6",
  ISBN-13 =      "978-0-8218-5158-6",
  bibdate =      "Mon Jul 11 14:09:33 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/smith-barry-francis.bib",
  acknowledgement = ack-nhfb,
  keyword =      "Schwarz methods, parallel computing",
}

@InProceedings{Gropp:1992:PCD,
  author =       "William D. Gropp",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Parallel Computing and Domain Decomposition",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Haase:1992:DDP,
  author =       "Gundolf Haase and Ulrich Langer and Arnd Meyer",
  title =        "Domain decomposition preconditioners with inexact
                 subdomain solvers",
  journal =      j-J-NUM-LIN-ALG-APPL,
  volume =       "1",
  number =       "1",
  pages =        "27--41",
  year =         "1992",
  CODEN =        "NLAAEM",
  ISSN =         "0129-3281",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "93c:65153",
  bibdate =      "Thu Jan 23 19:03:25 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hu:1992:SAD,
  author =       "Xian Cheng Hu and De Lin Chu",
  title =        "Spectral analysis of domain boundary operators
                 contained in preconditioners for solving elliptic
                 problems on the basis of domain decomposition",
  journal =      "J. Tsinghua Univ.",
  volume =       "32",
  number =       "3",
  pages =        "8--17",
  year =         "1992",
  CODEN =        "QDXKE8",
  ISSN =         "1000-0054",
  MRclass =      "65N30",
  MRnumber =     "1203917 (94c:65137)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Tsinghua University. Science and
                 Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban",
}

@Article{Ilin:1992:IFM,
  author =       "V. P. Il{\cprime}in",
  title =        "Incomplete factorization methods: some questions of
                 theory and practice",
  journal =      "Siberian J. Comput. Math.",
  volume =       "1",
  number =       "1",
  pages =        "1--18",
  year =         "1992",
  ISSN =         "1062-7944",
  MRclass =      "65F10 (15A23)",
  MRnumber =     "1399513 (97d:65013)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Siberian Journal of Computer Mathematics",
}

@Article{Kiss:1992:PDD,
  author =       "B. Kiss and Gy. Moln{\'a}rka",
  title =        "A preconditioned domain decomposition algorithm for
                 the solution of the elliptic {Neumann} problem",
  journal =      "Period. Math. Hungar.",
  volume =       "24",
  number =       "3",
  pages =        "151--165",
  year =         "1992",
  CODEN =        "PMHGAW",
  DOI =          "http://dx.doi.org/10.1007/BF02330875",
  ISSN =         "0031-5303",
  MRclass =      "65N55",
  MRnumber =     "1190883 (93m:65168)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Periodica Mathematica Hungarica. Journal of the
                 J{\'a}nos Bolyai Mathematical Society",
}

@Book{Kushner:1992:NMS,
  author =       "Harold J. Kushner and Paul G. Dupuis",
  title =        "Numerical methods for stochastic control problems in
                 continuous time",
  volume =       "24",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 439",
  year =         "1992",
  ISBN =         "0-387-97834-8",
  ISBN-13 =      "978-0-387-97834-5",
  MRclass =      "93-02 (65U05 90C39 93E20)",
  MRnumber =     "1217486 (94e:93005)",
  MRreviewer =   "Jose Luis Menaldi",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Applications of Mathematics (New York)",
  acknowledgement = ack-nhfb,
}

@Book{Kuznetsov:1992:CMM,
  editor =       "Yu. A. Kuznetsov",
  title =        "Chislennye metody i matematicheskoe modelirovanie",
  publisher =    "Rossi\u\i skaya Akademiya Nauk Institut
                 Vychislitel\cprime no\u\i\ Matematiki",
  address =      "Moscow, Russia",
  pages =        "128",
  year =         "1992",
  ISBN =         "5-201-08800-7",
  ISBN-13 =      "978-5-201-08800-2",
  MRclass =      "65-02",
  MRnumber =     "1246792 (94e:65004)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Kuznetsov:1992:ODD,
  author =       "Yu. A. Kuznetsov and P. Neittaanm{\"a}ki",
  booktitle =    "{Computational and applied mathematics, II (Dublin,
                 1991)}",
  title =        "Overlapping domain decomposition methods for the
                 simplified {Dirichlet-Signorini} problem",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "297--306",
  year =         "1992",
  MRclass =      "65N30 (49J40 65K10 73V25)",
  MRnumber =     "1204694 (94c:65139)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Laevskii:1992:DDA,
  author =       "Yu. M. Laevski{\u\i}",
  title =        "A domain decomposition algorithm without overlapping
                 subdomains for the solution of parabolic equations",
  journal =      j-Z-VYCISL-MAT-MAT-FIZ,
  volume =       "32",
  number =       "11",
  pages =        "1744--1755",
  year =         "1992",
  CODEN =        "ZVMFAN",
  ISSN =         "0044-4669",
  MRclass =      "65M55 (65M60)",
  MRnumber =     "1202701 (94d:65055)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Rossi\u\i skaya Akademiya Nauk. Zhurnal
                 Vychislitel\cprime no\u\i\ Matematiki i
                 Matematichesko\u\i\ Fiziki",
}

@Book{Laevskii:1992:OOP,
  author =       "Yu. M. Laevski{\u\i}",
  title =        "Ob otsenke pogreshnosti nekotorykh pryamykh algoritmov
                 dekompozitsii oblasti bez naleganiya podoblastei
                 resheniya parabolicheskikh uravnenii",
  volume =       "955",
  publisher =    "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "39",
  year =         "1992",
  MRclass =      "65M55",
  MRnumber =     "1249484 (94g:65099)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Book{Laevskii:1992:PMD,
  author =       "Yu. M. Laevski{\u\i}",
  title =        "Pryamoi metod dekompozitsii oblasti resheniya
                 parabolicheskikh uravnenii",
  volume =       "946",
  publisher =    "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "48",
  year =         "1992",
  MRclass =      "65N55 (65M55)",
  MRnumber =     "1202432 (94e:65132)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@InCollection{Lai:1992:ATN,
  author =       "C. H. Lai",
  booktitle =    "{Computational and applied mathematics, I (Dublin,
                 1991)}",
  title =        "An acceleration technique for a nonoverlapped domain
                 decomposition method",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "289--293",
  year =         "1992",
  MRclass =      "65B99 (65M15)",
  MRnumber =     "1203353",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Langer:1992:SSM,
  author =       "Ulrich Langer",
  title =        "Substrukturtechnik und {Schwarzsche Methoden}",
  journal =      "Mitt. Ges. Angew. Math. Mech.",
  volume =       "15",
  number =       "2",
  pages =        "86--103",
  year =         "1992",
  ISSN =         "0936-7195",
  MRclass =      "65N30",
  MRnumber =     "1199755 (94c:65140)",
  MRreviewer =   "O. Widlund",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mitteilungen der Gesellschaft f{\"u}r Angewandte
                 Mathematik und Mechanik",
}

@Article{Layton:1992:DDM,
  author =       "William J. Layton",
  title =        "Domain decomposition for multi-dimensional, first
                 order systems of partial differential equations",
  journal =      j-APPL-ANAL,
  volume =       "47",
  number =       "2--3",
  pages =        "139--150",
  year =         "1992",
  CODEN =        "APANCC",
  DOI =          "http://dx.doi.org/10.1080/00036819208840137",
  ISSN =         "0003-6811",
  MRclass =      "65M55 (65M15)",
  MRnumber =     "1333951 (96a:65143)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Applicable Analysis. An International Journal",
}

@InCollection{Loheac:1992:ABC,
  author =       "J.-P. Loh{\'e}ac",
  booktitle =    "{Progress in partial differential equations: elliptic
                 and parabolic problems (Pont-{\`a}-Mousson, 1991)}",
  title =        "Artificial boundary conditions for advection-diffusion
                 equations",
  volume =       "266",
  publisher =    "Longman Sci. Tech.",
  address =      "Harlow, UK",
  pages =        "207--219",
  year =         "1992",
  MRclass =      "65M12 (35K57 35Q30)",
  MRnumber =     "1194229 (94b:65122)",
  MRreviewer =   "Gert Lube",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Pitman Res. Notes Math. Ser.",
  acknowledgement = ack-nhfb,
}

@Article{Lu:1992:DDMa,
  author =       "Tao L{\"u}",
  title =        "Domain decomposition methods---a new technique for
                 solving partial differential equations. {II}",
  journal =      "Math. Practice Theory",
  volume =       "2",
  number =       "??",
  pages =        "59--69",
  year =         "1992",
  CODEN =        "SSHRE8",
  ISSN =         "1000-0984",
  MRclass =      "65N55",
  MRnumber =     "1195456 (94f:65120b)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics in Practice and Theory. Shuxue de Shijian
                 yu Renshi",
}

@Article{Lu:1992:DDMb,
  author =       "Tao L{\"u}",
  title =        "Domain decomposition methods---a new technique for
                 solving partial differential equations. {III}",
  journal =      "Math. Practice Theory",
  volume =       "3",
  number =       "??",
  pages =        "43--58",
  year =         "1992",
  CODEN =        "SSHRE8",
  ISSN =         "1000-0984",
  MRclass =      "65N55",
  MRnumber =     "1199750 (94f:65120c)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics in Practice and Theory. Shuxue de Shijian
                 yu Renshi",
}

@Article{Lu:1992:DDMc,
  author =       "Tao L{\"u}",
  title =        "Domain decomposition methods---a new technique for
                 solving partial differential equations. {IV}",
  journal =      "Math. Practice Theory",
  volume =       "4",
  number =       "??",
  pages =        "37--49",
  year =         "1992",
  CODEN =        "SSHRE8",
  ISSN =         "1000-0984",
  MRclass =      "65N55",
  MRnumber =     "1219226 (94f:65120d)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics in Practice and Theory. Shuxue de Shijian
                 yu Renshi",
}

@InCollection{Mandel:1992:AIS,
  author =       "Jan Mandel",
  editor =       "M. Papadrakakis",
  booktitle =    "Solving Large Scale Problems in Mechanics. The
                 Development and Application of Computational Solution
                 Methods",
  title =        "Adaptive Iterative Solvers in Finite Elements",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@TechReport{Mandel:1992:BDDa,
  author =       "Jan Mandel",
  title =        "Balancing Domain Decomposition",
  institution =  "Computational Mathematics Group, University of
                 Colorado at Denver",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Communications in Applied Numerical Methods, to
                 appear",
}

@TechReport{Mandel:1992:BDDb,
  author =       "Jan Mandel and Marian Brezina",
  title =        "Balancing Domain Decomposition: Theory and
                 Computations in Two and Three Dimensions",
  institution =  "Computational Mathematics Group, University of
                 Colorado at Denver",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Math. Comp.",
}

@Unpublished{Mandel:1992:ISP,
  author =       "Jan Mandel",
  title =        "Iterative Solvers for p-Version Finite Element Method
                 in Three Dimensions",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In preparation; paper presented at ICOSAHOM 92,
                 Montpellier, France, June 1992",
}

@TechReport{Mu:1992:PDD,
  author =       "M. Mu and John R. Rice",
  title =        "Preconditioning for Domain Decomposition Through
                 Function Approximation",
  type =         "Technical report",
  number =       "TR-92-091",
  institution =  inst-CS-PURDUE,
  address =      inst-CS-PURDUE:adr,
  pages =        "18",
  month =        nov,
  year =         "1992",
  bibdate =      "Sun Dec 30 13:46:29 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
  URL =          "http://www.cs.purdue.edu/research/technical_reports/1992/TR%2092-091.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Nepomnyashchikh:1992:DDM,
  author =       "S. V. Nepomnyashchikh",
  title =        "The domain decomposition method for elliptic problems
                 with coefficient jumps in thin strips",
  journal =      j-DOKL-AKAD-NAUK,
  volume =       "323",
  number =       "6",
  pages =        "1034--1037",
  year =         "1992",
  CODEN =        "DANKAS",
  ISSN =         "0869-5652",
  MRclass =      "65N55 (65N22 65N30)",
  MRnumber =     "1202306 (94b:65160)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Rossi\u\i skaya Akademiya Nauk. Doklady Akademii
                 Nauk",
}

@Article{Oswald:1992:HBM,
  author =       "Peter Oswald",
  title =        "On a hierarchical basis multilevel method with
                 nonconforming {P}1 elements",
  journal =      "Numer. Math.",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Article{Oswald:1992:HCF,
  author =       "P. Oswald",
  title =        "Hierarchical Conforming Finite Element Methods for the
                 Biharmonic Equation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "29",
  number =       "6",
  pages =        "1610--1625",
  month =        dec,
  year =         "1992",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N30 (65F99)",
  MRnumber =     "93k:65098",
  MRreviewer =   "J. T. Oden",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Papamichael:1992:DDM,
  author =       "N. Papamichael and N. S. Stylianopoulos",
  title =        "A domain decomposition method for approximating the
                 conformal modules of long quadrilaterals",
  journal =      j-NUM-MATH,
  volume =       "62",
  number =       "2",
  pages =        "213--234",
  month =        jul,
  year =         "1992",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "30C30 (65E05)",
  MRnumber =     "93g:30008",
  MRreviewer =   "D. Gaier",
  bibdate =      "Thu Jan 23 07:49:52 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Pavarino:1992:DDA,
  author =       "Luca F. Pavarino",
  title =        "Domain Decomposition Algorithms for the p-version
                 finite element method for elliptic problems",
  number =       "616",
  institution =  "Courant Institute of Mathematical Sciences, Department
                 of Mathematics",
  school =       "Courant Institute, New York University",
  month =        sep,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Perkins:1992:MDU,
  author =       "A. Louise Perkins",
  title =        "A mixed directed-undirected data structure for a
                 parallel implementation of a domain decomposition
                 algorithm",
  journal =      j-BIT,
  volume =       "32",
  number =       "4",
  pages =        "598--608",
  month =        dec,
  year =         "1992",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://dx.doi.org/10.1007/BF01994844",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "68P05 (65Y05)",
  MRnumber =     "1 191 015",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=32&issue=4;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib;
                 MathSciNet database",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=32&issue=4&spage=598",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
}

@InCollection{Phillips:1992:PDD,
  author =       "Timothy N. Phillips",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "Pseudospectral domain decomposition techniques for the
                 {Navier--Stokes} equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "531--540",
  year =         "1992",
  MRclass =      "65N35 (76D05 76M25)",
  MRnumber =     "1189600",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Pini:1992:DDN,
  author =       "G. Pini",
  title =        "Domain decomposition and nested grids in a parallel
                 environment",
  journal =      j-SUPERCOMPUTER,
  volume =       "9",
  number =       "4",
  pages =        "22--28",
  month =        jul,
  year =         "1992",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercom.bib;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dipartimento di Metodi e Modelli Matematici per le
                 Sci. Applicate, Padova Univ., Italy",
  classification = "A0270 (Computational techniques); A4710 (General
                 theory, simulation and other computational methods);
                 A4755M (Flow through porous media); C4170 (Differential
                 equations); C4185 (Finite element analysis); C5440
                 (Multiprocessor systems and techniques); C5470
                 (Performance evaluation and testing); C7320 (Physics
                 and Chemistry)",
  corpsource =   "Dipartimento di Metodi e Modelli Matematici per le
                 Sci. Applicate, Padova Univ., Italy",
  keywords =     "adjoint problems; Cray Y:MP8/432; domain
                 decomposition; finite element analysis; finite- element
                 technique; flow through porous media; macro-triangle;
                 macromesh; nonsymmetric linear system; parallel
                 environment; parallel implementation; parallel
                 processing; parallel speedups; parallelization
                 directives; partial differential equations; performance
                 evaluation; randomly heterogeneous porous media; shared
                 memory supercomputer; steady flow",
  pubcountry =   "Netherlands",
  treatment =    "T Theoretical or Mathematical; X Experimental",
}

@InCollection{Ronquist:1992:DDM,
  author =       "Einar M. R{\o}nquist",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "A domain decomposition method for elliptic boundary
                 value problems: application to unsteady incompressible
                 fluid flow",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "545--557",
  year =         "1992",
  MRclass =      "65N55 (76D05 76M30)",
  MRnumber =     "1189601",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Rozvany:1992:SLO,
  editor =       "G. I. N. Rozvany",
  title =        "Shape and layout optimization of structural systems
                 and optimality criteria methods",
  volume =       "325",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vi + 496",
  year =         "1992",
  ISBN =         "3-211-82363-8",
  ISBN-13 =      "978-3-211-82363-7",
  MRclass =      "73K40 (49Q10 73-06 73V05 73V10 73V25)",
  MRnumber =     "1232703 (94i:73069)",
  MRreviewer =   "Vadim Komkov",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "CISM Courses and Lectures",
  acknowledgement = ack-nhfb,
}

@InCollection{Rusten:1992:MFE,
  author =       "T. Rusten and R. Winther",
  booktitle =    "{Computational methods in water resources, IX, Vol. 1
                 (Denver, CO, 1992)}",
  title =        "Mixed finite element methods and domain
                 decomposition",
  publisher =    "Comput. Mech.",
  address =      "Southampton, UK",
  pages =        "597--604",
  year =         "1992",
  MRclass =      "65N55 (76M10 76M25)",
  MRnumber =     "1195369",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Sidilkover:1992:NSE,
  author =       "David Sidilkover and George Em. Karniadakis",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "Nonoscillatory spectral element {Chebyshev} method for
                 shock wave calculations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "566--585",
  year =         "1992",
  MRclass =      "65M70",
  MRnumber =     "1189602",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@PhdThesis{Skogen:1992:SMP,
  author =       "Morten D. Skogen",
  title =        "{Schwarz} Methods and Parallelism",
  school =       "Department of Informatics, University of Bergen,
                 Norway",
  month =        feb,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Smith:1992:ISAa,
  author =       "Barry F. Smith",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "An Iterative Substructuring Algorithm for Problems in
                 Three Dimensions",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Smith:1992:ODD,
  author =       "Barry F. Smith",
  title =        "An Optimal Domain Decomposition Preconditioner for the
                 Finite Element Solution of Linear Elasticity Problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "1",
  pages =        "364--378",
  month =        jan,
  year =         "1992",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "73V05 (65N30 65N55 73C02)",
  MRnumber =     "92g:73080",
  bibdate =      "Sat Oct 24 13:21:07 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Srinivasan:1992:AMD,
  author =       "Kumar Srinivasan and Stanley G. Rubin",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "Adaptive multigrid domain decomposition solutions of
                 the reduced {Navier--Stokes} equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "586--596",
  year =         "1992",
  MRclass =      "65N55 (76M20)",
  MRnumber =     "1189603",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Stagg:1992:ANI,
  author =       "A. K. Stagg and G. F. Carey",
  booktitle =    "{Parallel processing for scientific computing
                 (Houston, TX, 1991)}",
  title =        "Asynchronous nonlinear iteration and domain
                 decomposition",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "281--286",
  year =         "1992",
  MRclass =      "65H10 (65N55 65Y05)",
  MRnumber =     "1194915",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Taha:1992:PAI,
  author =       "Thiab R. Taha",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "A parallel algorithm for an investigation of
                 self-focusing singularity of higher {KdV} equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "597--604",
  year =         "1992",
  MRclass =      "65P05 (65Y05)",
  MRnumber =     "1189604 (93h:65161)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Tidriri:1992:CAM,
  author =       "Moulay Driss Tidriri",
  title =        "Couplage d'approximations et de mod{\`e}les de types
                 diff{\'e}rents dans le calcul d'{\'e}coulements
                 externes. ({{French}}) [Coupling of approximations and
                 of models of different types in external flows]",
  publisher =    "Institut National de Recherche en Informatique et en
                 Automatique (INRIA)",
  address =      "Rocquencourt, France",
  pages =        "xii + 366",
  year =         "1992",
  ISBN =         "2-7261-0737-0",
  ISBN-13 =      "978-2-7261-0737-9",
  MRclass =      "65N55",
  MRnumber =     "1346308 (96d:65202)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Th{\`e}se, Universit{\'e} de Paris IX
                 (Paris-Dauphine), Paris, 1992",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@InCollection{Vasilevskii:1992:DDM,
  author =       "Yu. V. Vasilevski{\u\i}",
  booktitle =    "{Numerical methods and mathematical modeling
                 (Russian)}",
  title =        "The domain decomposition method with application of
                 continuation operators for a difference function",
  publisher =    "Ross. Akad. Nauk Inst. Vychisl. Mat.",
  address =      "Moscow, Russia",
  pages =        "21--34",
  year =         "1992",
  MRclass =      "65M55",
  MRnumber =     "1246794 (95b:65115)",
  MRreviewer =   "Erwin Schechter",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Widlund:1992:SSM,
  author =       "Olof B. Widlund",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Some {Schwarz} Methods for Symmetric and Nonsymmetric
                 Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Williams:1992:VOMa,
  author =       "Peter L. Williams",
  title =        "Visibility ordering meshed polyhedra",
  type =         "Technical Report",
  number =       "CSRD 1097",
  institution =  inst-UIUC-CSRD,
  address =      inst-UIUC-CSRD:adr,
  pages =        "28",
  month =        jan,
  year =         "1992",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  abstract =     "A visibility ordering of a set of objects from some
                 viewpoint is an ordering such that if object a
                 obstructs object b, then b precedes a in the ordering.
                 An algorithm is presented that generates a visibility
                 ordering of an acyclic convex set of meshed convex
                 polyhedra. This algorithm takes time linear in the size
                 of the mesh. Modifications to this algorithm and/or
                 preprocessing techniques are described which permit
                 nonconvex cells, nonconvex meshes (meshes with cavities
                 and/or voids), meshes with cycles, and sets of
                 disconnected meshes to be ordered. Visibility ordering
                 of polyhedra is applicable to scientific visualization,
                 particularly direct volume rendering. It is shown how
                 the ordering algorithms can be used for domain
                 decomposition of finite element meshes for parallel
                 processing, and how the data structures used by these
                 algorithms can be used to solve the spatial point
                 location problem. The effects of cyclically obstructing
                 polyhedra are discussed, and methods for their
                 elimination are described, including the use of the
                 Delaunay triangulation. Methods for converting
                 nonconvex meshes into convex meshes are described.",
  acknowledgement = ack-nhfb,
  annote =       "To appear in ACM Transactions on Graphics in 1993.
                 Supported in part by the U.S. Air Force Office of
                 Scientific Research. Supported in part by the U.S.
                 Department of Energy. Supported in part by the National
                 Science Foundation. Supported in part by Sun
                 Microsystems.",
  keywords =     "Computer graphics",
}

@Article{Williams:1992:VOMb,
  author =       "Peter L. Williams",
  title =        "Visibility Ordering Meshed Polyhedra",
  journal =      j-TOG,
  volume =       "11",
  number =       "2",
  pages =        "103--126",
  month =        apr,
  year =         "1992",
  CODEN =        "ATGRDF",
  ISSN =         "0730-0301 (print), 1557-7368 (electronic)",
  bibdate =      "Fri Jan 5 07:58:42 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/tog.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0730-0301/130899.html",
  abstract =     "A visibility-ordering of a set of objects from some
                 viewpoint is an ordering such that if object $a$
                 obstructs object $b$, then $b$ precedes $a$ in the
                 ordering. An algorithm is presented that generates a
                 visibility-ordering of an acyclic convex set of meshed
                 convex polyhedra. This algorithm takes time linear in
                 the size of the mesh. Modifications to this algorithm
                 and/or preprocessing techniques are described that
                 permit nonconvex cells nonconvex meshes (meshes with
                 cavities and/or voids), meshes with cycles, and sets of
                 disconnected meshes to be ordered. Visibility-ordering
                 of polyhedra is applicable to scientific visualization,
                 particularly direct volume rendering. It is shown how
                 the ordering algorithms can be used for domain
                 decomposition of finite element meshes for parallel
                 processing, and how the data structures used by these
                 algorithms can be used to solve the spatial point
                 location problem. The effects of cyclically obstructing
                 polyhedra are discussed and methods for their
                 elimination are described, including the use of the
                 Delaunay triangulation. Methods for converting
                 nonconvex meshes into convex meshes are described.",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms; design; theory",
  subject =      "{\bf I.3.7}: Computing Methodologies, COMPUTER
                 GRAPHICS, Three-Dimensional Graphics and Realism,
                 Visible line/surface algorithms. {\bf I.3.3}: Computing
                 Methodologies, COMPUTER GRAPHICS, Picture/Image
                 Generation, Display algorithms. {\bf I.3.3}: Computing
                 Methodologies, COMPUTER GRAPHICS, Picture/Image
                 Generation, Viewing algorithms. {\bf I.3.5}: Computing
                 Methodologies, COMPUTER GRAPHICS, Computational
                 Geometry and Object Modeling, Curve, surface, solid,
                 and object representations.",
}

@Article{Wu:1992:DDM,
  author =       "Yun Hai Wu",
  title =        "A domain decomposition method for impulsively started
                 flow around a circular cylinder",
  journal =      "Chinese J. Numer. Math. Appl.",
  volume =       "14",
  number =       "4",
  pages =        "82--90",
  year =         "1992",
  ISSN =         "0899-4358",
  MRclass =      "76M25 (65N55 76D05 76M35)",
  MRnumber =     "1258645 (94i:76063)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Chinese Journal of Numerical Mathematics and
                 Applications",
}

@Article{Xu:1992:IMS,
  author =       "Jinchao Xu",
  title =        "Iterative methods by space decomposition and subspace
                 correction",
  journal =      j-SIAM-REVIEW,
  volume =       "34",
  number =       "4",
  pages =        "581--613",
  month =        dec,
  year =         "1992",
  CODEN =        "SIREAD",
  DOI =          "http://dx.doi.org/10.1137/1034116",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  MRclass =      "65F10 (65M55 65M60 65N30 65N55)",
  MRnumber =     "1193013 (93k:65029)",
  MRreviewer =   "Jan Z{\'\i}tko",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
}

@Article{Xu:1992:NCI,
  author =       "Jinchao Xu",
  title =        "A New Class of Iterative Methods for Nonselfadjoint or
                 Indefinite Problems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "29",
  number =       "2",
  pages =        "303--319",
  month =        apr,
  year =         "1992",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "92k:65063",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@Article{Xu:1992:PGM,
  author =       "Jinchao Xu and Xiao-Chuan Cai",
  title =        "A preconditioned {GMRES} method for nonsymmetric or
                 indefinite problems",
  journal =      j-MATH-COMPUT,
  volume =       "59",
  number =       "200",
  pages =        "311--319",
  month =        oct,
  year =         "1992",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65F30 (65F10 65F35 65N30)",
  MRnumber =     "93a:65059",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
}

@InCollection{Zampieri:1992:MSC,
  author =       "Elena Zampieri",
  booktitle =    "{Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations (Norfolk,
                 VA, 1991)}",
  title =        "A multidomain spectral collocation solver for the
                 elasticity problem",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "614--623",
  year =         "1992",
  MRclass =      "65N35 (73V20)",
  MRnumber =     "1189605",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Zhang:1992:DDA,
  author =       "Xuejun Zhang",
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  booktitle =    "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Domain Decomposition Algorithms for the Biharmonic
                 {Dirichlet} Problem",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Zhang:1992:MSMa,
  author =       "Xuejun Zhang",
  title =        "Multilevel {Schwarz} Methods",
  journal =      j-NUM-MATH,
  volume =       "63",
  number =       "4",
  pages =        "521--539",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Zhang:1992:MSMb,
  author =       "Xuejun Zhang",
  title =        "Multilevel {Schwarz} Methods for the Biharmonic
                 {Dirichlet} Problem",
  number =       "CS-TR2907 (UMIACS-TR-92-60)",
  institution =  "University of Maryland, Department of Computer
                 Science",
  month =        may,
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to SIAM J. Sci. Stat. Comput.",
}

@Article{Zhang:1992:PDD,
  author =       "Sheng Zhang",
  title =        "Preconditioning domain decomposition for
                 three-dimensional problems",
  journal =      "J. Fudan Univ. Natur. Sci.",
  volume =       "31",
  number =       "2",
  pages =        "136--141",
  year =         "1992",
  CODEN =        "FHPTAY",
  ISSN =         "0427-7104",
  MRclass =      "65N55 (65F35)",
  MRnumber =     "1194320 (93i:65118)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Fudan University. Natural Science. Fudan
                 Xuebao. Ziran Kexue Ban",
}

@Article{Zhang:1992:PIA,
  author =       "Tie Zhang",
  title =        "A parallel iterative algorithm for solving systems of
                 finite element equations",
  journal =      "J. Northeast Univ. Tech.",
  volume =       "13",
  number =       "3",
  pages =        "297--301",
  year =         "1992",
  CODEN =        "THYPDK",
  ISSN =         "0253-4258",
  MRclass =      "65N30 (65Y05)",
  MRnumber =     "1203697 (94a:65061)",
  MRreviewer =   "Weimin Han",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Northeast University of Technology. Dongbei
                 Gong Xueyuan Xuebao",
}

@Article{Zhang:1992:PID,
  author =       "Sheng Zhang and Hong Ci Huang",
  title =        "Parallel iterative domain decomposition method for
                 elliptic equation: many subdomains case",
  journal =      "Sci. China Ser. A",
  volume =       "35",
  number =       "6",
  pages =        "690--700",
  year =         "1992",
  ISSN =         "1001-6511",
  MRclass =      "65N55",
  MRnumber =     "1196627 (93j:65206)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Science in China (Scientia Sinica). Series A.
                 Mathematics, Physics, Astronomy",
}

@Article{Abdoulaev:1993:ODD,
  author =       "G. S. Abdoulaev",
  title =        "Overlapping domain decomposition method for {Burgers}
                 equation",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "2",
  pages =        "75--86",
  year =         "1993",
  CODEN =        "EJNMEA",
  ISSN =         "0928-0200",
  MRclass =      "65M55 (65M60 65N30 65N55)",
  MRnumber =     "1253628 (94k:65135)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "East-West Journal of Numerical Mathematics",
}

@InCollection{Aguilar:1993:DDM,
  author =       "G. Aguilar and F. Lisbona",
  booktitle =    "{III Congress on Applied Mathematics\slash XIII
                 Congress on Differential Equations and Applications
                 (Spanish) (Madrid, 1993)}",
  title =        "Domain decomposition in models of viscous-nonviscous
                 flow",
  publisher =    "Univ. Polit{\'e}c. Madrid",
  address =      "Madrid, Spain",
  pages =        "269--274",
  year =         "1993",
  MRclass =      "35A25",
  MRnumber =     "1425651",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Belgacem:1993:NCS,
  author =       "F. Ben Belgacem and Y. Maday",
  title =        "Non-conforming spectral method for second order
                 elliptic problems in {$3$D}",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "4",
  pages =        "235--251",
  year =         "1993",
  CODEN =        "EJNMEA",
  ISSN =         "0928-0200",
  MRclass =      "65N35",
  MRnumber =     "1318804 (95k:65113)",
  MRreviewer =   "B. Kellogg",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "East-West Journal of Numerical Mathematics",
}

@Article{Bialecki:1993:FDD,
  author =       "Bernard Bialecki",
  title =        "A Fast Domain Decomposition {Poisson} Solver on a
                 Rectangle for {Hermite} Bicubic Orthogonal Spline
                 Collocation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "30",
  number =       "2",
  pages =        "425--434",
  month =        apr,
  year =         "1993",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N55 (65F30 65N35)",
  MRnumber =     "94b:65154",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Boglaev:1993:ADD,
  author =       "I. P. Boglaev and V. V. Sirotkin",
  booktitle =    "{Applications of advanced computational methods for
                 boundary and interior layers}",
  title =        "Application of domain decomposition to semiconductor
                 device modelling and simulation in diagnostics of
                 semiconductor structures",
  volume =       "2",
  publisher =    "Boole",
  address =      "Dublin, Ireland",
  pages =        "1--32",
  year =         "1993",
  MRclass =      "65M50 (78A55)",
  MRnumber =     "1245730 (94h:65093)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Adv. Comput. Methods Bound. Inter. Layers",
  acknowledgement = ack-nhfb,
}

@Article{Boglaev:1993:CMS,
  author =       "I. P. Boglaev and V. V. Sirotkin",
  title =        "Computational Method for a Singular Perturbation
                 Problem via Domain Decomposition and its Parallel
                 Implementation",
  journal =      j-APPL-MATH-COMP,
  volume =       "56",
  number =       "1",
  pages =        "71--95",
  month =        jun,
  year =         "1993",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  MRclass =      "65L99 (65Y05)",
  MRnumber =     "94h:65083",
  MRreviewer =   "Beny Neta",
  bibdate =      "Fri Feb 28 12:53:44 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. of Microelectron. Technol., Acad. of Sci.,
                 Chernogolovka, Russia",
}

@InCollection{Brezzi:1993:MHE,
  author =       "F. Brezzi and L. D. Marini",
  booktitle =    "{Optimisation et contr{\^o}le (Sophia-Antipolis,
                 1992)}",
  title =        "Macro hybrid elements and domain decomposition
                 methods",
  publisher =    "C{\'e}padu{\`e}s",
  address =      "Toulouse, France",
  pages =        "89--96",
  year =         "1993",
  MRclass =      "65N55",
  MRnumber =     "1284966 (95c:65208)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Cai:1993:CSD,
  author =       "Xiao-Chuan Cai and William D. Gropp and David E.
                 Keyes",
  title =        "A Comparison of Some Domain Decomposition and {ILU}
                 Preconditioned Iterative Methods for Nonsymmetric
                 Elliptic Problems",
  journal =      j-NUM-LIN-ALG-APPL,
  month =        jun,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Article{Cai:1993:MSA,
  author =       "Xiao-Chuan Cai and Olof B. Widlund",
  title =        "Multiplicative {Schwarz} algorithms for some
                 nonsymmetric and indefinite problems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "30",
  number =       "4",
  pages =        "936--952",
  month =        sep,
  year =         "1993",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N55 (65F15 65N30)",
  MRnumber =     "94j:65141",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cai:1993:NEP,
  author =       "Zhi Qiang Cai",
  title =        "Norm Estimates of Product Operators with Application
                 to Domain Decomposition",
  journal =      j-APPL-MATH-COMP,
  volume =       "53",
  number =       "2--3",
  pages =        "251--276",
  month =        feb,
  year =         "1993",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  MRclass =      "47A50 (47A30 65N55)",
  MRnumber =     "94c:47011",
  MRreviewer =   "J. H. Bramble",
  bibdate =      "Thu Feb 27 09:47:09 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cai:1993:OTL,
  author =       "Xiao-Chuan Cai",
  title =        "An Optimal Two-level Overlapping Domain Decomposition
                 Method for Elliptic Problems in Two and Three
                 Dimensions",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "14",
  pages =        "239--247",
  month =        jan,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Chan:1993:IMQ,
  author =       "Raymond H. Chan",
  booktitle =    "{Linear algebra, Markov chains, and queueing models
                 (Minneapolis, MN, 1992)}",
  title =        "Iterative methods for queueing networks with irregular
                 state-spaces",
  volume =       "48",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "89--109",
  year =         "1993",
  MRclass =      "65F05 (60K25 90B22)",
  MRnumber =     "1242131 (94h:65020)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "IMA Vol. Math. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Chu:1993:CDD,
  author =       "De-lin Chu and Fang-jun Zhou",
  title =        "The convergence of a domain decomposition algorithm
                 for parabolic problems",
  journal =      "Numer. Math. J. Chinese Univ. (English Ser.)",
  volume =       "2",
  number =       "2",
  pages =        "162--175",
  year =         "1993",
  ISSN =         "1004-8979 (print), 2079-7338 (electronic)",
  MRclass =      "65N55",
  MRnumber =     "1390729 (97b:65139)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Mathematics. A Journal of Chinese
                 Universities. (English Series)",
}

@Article{Chu:1993:PCG,
  author =       "De Lin Chu and Xian Cheng Hu",
  title =        "A preconditioned conjugate gradient method with
                 nonoverlapping domain decomposition",
  journal =      "Math. Numer. Sinica",
  volume =       "15",
  number =       "1",
  pages =        "58--68",
  year =         "1993",
  ISSN =         "0254-7791",
  MRclass =      "65N55 (65F35)",
  MRnumber =     "1393855 (97c:65203)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Numerica Sinica. Jisuan Shuxue",
}

@TechReport{Cowsar:1993:BDD,
  author =       "Lawrence C. Cowsar and Jan Mandel and Mary F.
                 Wheeler",
  title =        "Balancing Domain Decomposition for Mixed Finite
                 Elements",
  number =       "TR93-08",
  institution =  "Department of Mathematical Sciences, Rice University",
  month =        mar,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Cowsar:1993:DVS,
  author =       "Lawrence C. Cowsar",
  title =        "Dual Variable {Schwarz} Methods for Mixed Finite
                 Elements",
  number =       "TR93-09",
  institution =  "Department of Mathematical Sciences, Rice University",
  month =        mar,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Dagum:1993:APU,
  author =       "Leonardo Dagum",
  title =        "Automatic Partitioning of Unstructured Grids into
                 Connected Components",
  crossref =     "IEEE:1993:PSP",
  pages =        "94--101",
  year =         "1993",
  bibdate =      "Wed Apr 15 12:04:03 MDT 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Computer Sciences Corp",
  affiliationaddress = "Moffet Field, CA, USA",
  classification = "723; 723.5; 921; 921.6; C1120 (Mathematical
                 analysis); C1180 (Optimisation techniques); C4170
                 (Differential equations); C4240P (Parallel programming
                 and algorithm theory)",
  corpsource =   "Computer Sci. Corp., Moffett Field, CA, USA",
  keywords =     "Algorithms; automatic partitioning; Computer science;
                 Connected components; connected components; connected
                 initial grid; convergence; cut edges; differential
                 equations; domain decomposition; multigrid; Numerical
                 analysis; optimisation; parallel algorithms;
                 Partitioning scheme; partitioning schemes; resource
                 allocation; Spectral partitioning; spectral
                 partitioning; unstructured grids; Unstructured grids
                 automatic partitioning",
  sponsororg =   "IEEE; ACM SIGARCH",
  treatment =    "P Practical",
}

@Article{dHennezel:1993:DDM,
  author =       "Fr{\'e}d{\'e}ric d'Hennezel",
  title =        "Domain decomposition method and elastic
                 multi-structures: the stiffened plate problem",
  journal =      j-NUM-MATH,
  volume =       "66",
  number =       "2",
  pages =        "181--197",
  month =        nov,
  year =         "1993",
  CODEN =        "NUMMA7",
  DOI =          "http://dx.doi.org/10.1007/BF01385693",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "73V05 (65N55 73K10 73K20)",
  MRnumber =     "1245010 (95c:73080)",
  MRreviewer =   "Rolf Rannacher",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
}

@InCollection{Douglas:1993:MPI,
  author =       "Jim {Douglas, Jr.} and P. J. Paes-Leme and Felipe
                 Pereira and Li Ming Yeh",
  booktitle =    "{Flow in porous media (Oberwolfach, 1992)}",
  title =        "A massively parallel iterative numerical algorithm for
                 immiscible flow in naturally fractured reservoirs",
  volume =       "114",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "75--93",
  year =         "1993",
  MRclass =      "76M10 (65Y05 76M25 76S05)",
  MRnumber =     "1276495 (95a:76058)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Internat. Ser. Numer. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Douglas:1993:NFM,
  author =       "Jim {Douglas, Jr.} and Jun Ping Wang",
  title =        "A new family of mixed finite element spaces over
                 rectangles",
  journal =      "Mat. Apl. Comput.",
  volume =       "12",
  number =       "3",
  pages =        "183--197",
  year =         "1993",
  ISSN =         "0101-8205",
  MRclass =      "65N30",
  MRnumber =     "1288240 (95g:65150)",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Sociedade Brasiliera de Matem{\'a}tica Applicada e
                 Computacional. Matem{\'a}tica Aplicada e Computacional.
                 Computational and Applied Mathematics",
}

@Article{Douglas:1993:PIP,
  author =       "J. {Douglas, Jr.} and P. J. {Paes Leme} and J. E.
                 Roberts and Junping Wang",
  title =        "A parallel iterative procedure applicable to the
                 approximate solution of second order partial
                 differential equations by mixed finite element
                 methods",
  journal =      j-NUM-MATH,
  volume =       "65",
  number =       "1",
  pages =        "95--108",
  month =        may,
  year =         "1993",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65N30 (65Y05)",
  MRnumber =     "94c:65134",
  MRreviewer =   "Weimin Han",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290P (Differential equations); C4130 (Interpolation
                 and function approximation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Purdue Univ., West Lafayette, IN,
                 USA",
  keywords =     "approximate solution; domain decomposition techniques;
                 elliptic equations; finite element analysis; iterative
                 methods; mixed finite element methods; parallel
                 iterative procedure; partial differential equations;
                 second order partial differential equations;
                 time-dependent problems",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@TechReport{Dryja:1993:SAIa,
  author =       "Maksymilian Dryja and Barry F. Smith and Olof B.
                 Widlund",
  title =        "{Schwarz} Analysis of Iterative Substructuring
                 Algorithms for Elliptic Problems in Three Dimensions",
  institution =  "Department of Computer Science, Courant Institute",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In preparation",
}

@TechReport{Dryja:1993:SMN,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  title =        "{Schwarz} Methods of {Neumann--Neumann} Type for
                 Three-Dimensional Elliptic Finite Element Problems",
  number =       "626",
  institution =  "Department of Computer Science, Courant Institute",
  month =        mar,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Comm. Pure Appl. Math.",
}

@InProceedings{Dryja:1993:SRR,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  editor =       "Alfio Quarteroni",
  booktitle =    "Sixth Conference on Domain Decomposition Methods for
                 Partial Differential Equations, held in Como, Italy,
                 June 15--19,1992.",
  title =        "Some Recent Results on {Schwarz} Type Domain
                 Decomposition Algorithms",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  year =         "1993",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear.",
}

@Article{Ewing:1993:DDT,
  author =       "Richard E. Ewing and Raytcho D. Lazarov and Joseph E.
                 Pasciak and Panayot S. Vassilevski",
  title =        "Domain Decomposition Type Iterative Techniques for
                 Parabolic Problems on Locally Refined Grids",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "30",
  number =       "6",
  pages =        "1537--1557",
  month =        dec,
  year =         "1993",
  CODEN =        "SJNAAM",
  DOI =          "http://dx.doi.org/10.1137/0730080",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65M50 (65F10)",
  MRnumber =     "1249032 (94i:65094)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
}

@InCollection{Gastaldi:1993:DDB,
  author =       "Fabio Gastaldi",
  booktitle =    "{Boundary value problems for partial differential
                 equations and applications}",
  title =        "On the domain decomposition for boundary value
                 problems",
  volume =       "29",
  publisher =    pub-MASSON,
  address =      pub-MASSON:adr,
  pages =        "367--372",
  year =         "1993",
  MRclass =      "35F05 (35A35 65M12)",
  MRnumber =     "1260464 (94m:35054)",
  MRreviewer =   "M. Biroli",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "RMA Res. Notes Appl. Math.",
  acknowledgement = ack-nhfb,
}

@InCollection{Gastaldi:1993:MDT,
  author =       "Fabio Gastaldi",
  booktitle =    "{Variational and free boundary problems}",
  title =        "A multidomain decomposition for the transport
                 equation",
  volume =       "53",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "87--109",
  year =         "1993",
  MRclass =      "65M55",
  MRnumber =     "1320776 (96c:65154)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "IMA Vol. Math. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Guermond:1993:SDE,
  author =       "J.-L. Guermond and S. Huberson and W.-Z. Shen",
  title =        "Simulation of {$2$D} external viscous flows by means
                 of a domain decomposition method",
  journal =      j-J-COMPUT-PHYS,
  volume =       "108",
  number =       "2",
  pages =        "343--352",
  year =         "1993",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1006/jcph.1993.1187",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  MRclass =      "76M25 (76D05 76M20)",
  MRnumber =     "1242956 (94f:76059)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
}

@InCollection{Haase:1993:PVC,
  author =       "Gundolf Haase and Ulrich Langer and Arnd Meyer",
  booktitle =    "{Numerische Algorithmen auf Transputer-Systemen
                 (Heidelberg, 1991)}",
  title =        "Parallelisierung und {Vorkonditionierung} des
                 {CG-Verfahrens} durch {Gebietszerlegung}",
  publisher =    pub-TEUBNER,
  address =      pub-TEUBNER:adr,
  pages =        "80--116",
  year =         "1993",
  MRclass =      "65Y05 (65F05)",
  MRnumber =     "1239218",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Teubner Skr. Numer.",
  acknowledgement = ack-nhfb,
}

@Article{Heinrichs:1993:DDF,
  author =       "Wilhelm Heinrichs",
  title =        "Domain Decomposition for Fourth-Order Problems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "30",
  number =       "2",
  pages =        "435--453",
  month =        apr,
  year =         "1993",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L60 (65N35)",
  MRnumber =     "94g:65089",
  MRreviewer =   "Lutz Tobiska",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
  acknowledgement = ack-nhfb,
}

@Article{Heinrichs:1993:SMM,
  author =       "Wilhelm Heinrichs",
  title =        "Spectral multigrid methods for domain decomposition
                 problems using patching techniques",
  journal =      j-APPL-MATH-COMP,
  volume =       "59",
  number =       "2--3",
  pages =        "165--176",
  month =        dec,
  year =         "1993",
  CODEN =        "AMHCBQ",
  DOI =          "http://dx.doi.org/10.1016/0096-3003(93)90087-U",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  MRclass =      "65M55 (65M70)",
  MRnumber =     "1253159 (95a:65158)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  affiliation =  "Math. Inst., Dusseldorf Univ., Germany",
  fjournal =     "Applied Mathematics and Computation",
}

@Article{Hoffmann:1993:PED,
  author =       "K.-H. Hoffmann and J. Zou",
  title =        "Parallel efficiency of domain decomposition methods",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "19",
  number =       "12",
  pages =        "1375--1391",
  month =        dec,
  year =         "1993",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191",
  bibdate =      "Mon Apr 14 12:05:41 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  classification = "C4170 (Differential equations); C4240P (Parallel
                 programming and algorithm theory)",
  corpsource =   "Inst. of Appl. Math. and Stat., Tech. Univ. Munchen,
                 Germany",
  keywords =     "communication; communication complexity; communication
                 overheads; complexity; computational; Data;
                 differential equations; distributed memory
                 multiprocessor; domain decomposition methods;
                 efficiency; parallel algorithms; partial; performance;
                 speedup",
  treatment =    "T Theoretical or Mathematical",
  xxnote =       "Is first author Hoffmann or Hoffman??",
}

@Article{Huang:1993:DDD,
  author =       "Lan Chieh Huang",
  title =        "Domain decomposition for the difference solution of
                 incompressible {Navier--Stokes} equations",
  journal =      "Chinese J. Numer. Math. Appl.",
  volume =       "15",
  number =       "1",
  pages =        "30--47",
  year =         "1993",
  ISSN =         "0899-4358",
  MRclass =      "65M55 (76D05 76M25)",
  MRnumber =     "1600563",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Chinese Journal of Numerical Mathematics and
                 Applications",
}

@Book{Ilin:1993:VMT,
  editor =       "V. P. Il{\cprime}in",
  title =        "Vychislitelnye metody i tekhnologiya resheniya zadach
                 matematicheskoi fiziki",
  publisher =    "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "169",
  year =         "1993",
  MRclass =      "65-06",
  MRnumber =     "1351542 (96c:65007)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Israeli:1993:DDM,
  author =       "M. Israeli and L. Vozovoi and A. Averbuch",
  title =        "Domain decomposition methods for solving parabolic
                 {PDE}s on multiprocessors",
  journal =      j-APPL-NUM-MATH,
  volume =       "12",
  number =       "1--3",
  pages =        "193--212",
  month =        may,
  year =         "1993",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65M55",
  MRnumber =     "94e:65105",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  note =         "Special issue to honor Professor Saul Abarbanel on his
                 sixtieth birthday (Neveh, 1992).",
  acknowledgement = ack-nhfb,
}

@Article{Israeli:1993:PIA,
  author =       "M. Israeli and L. Vozovoi and A. Averbuch",
  title =        "Parallelizing implicit algorithms for time-dependent
                 problems by parabolic domain decomposition",
  journal =      "J. Sci. Comput.",
  volume =       "8",
  number =       "2",
  pages =        "151--166",
  year =         "1993",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01060870",
  ISSN =         "0885-7474",
  MRclass =      "65N35 (65N55)",
  MRnumber =     "1242959 (94i:65124b)",
  MRreviewer =   "Serge Nicaise",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@Article{Kalia:1993:PAM,
  author =       "R. K. Kalia and A. Nakano and D. L. Greenwell and P.
                 Vashishta and S. W. {de Leeuw}",
  title =        "Parallel algorithms for molecular dynamics simulations
                 on distributed-memory {MIMD} machines",
  journal =      j-SUPERCOMPUTER,
  volume =       "10",
  number =       "2",
  pages =        "11--25",
  month =        mar,
  year =         "1993",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercom.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Concurrent Comput. Lab. for Mater. Simulations,
                 Louisiana State Univ., Baton Rouge, LA, USA",
  classification = "C5220P (Parallel architecture); C7320 (Physics and
                 Chemistry)C4240P (Parallel programming and algorithm
                 theory)",
  corpsource =   "Concurrent Comput. Lab. for Mater. Simulations,
                 Louisiana State Univ., Baton Rouge, LA, USA",
  keywords =     "8-processor Intel iPSC/860; communication time;
                 distributed memory systems; distributed-memory MIMD
                 machines; domain decomposition; forces; Lennard-Jones
                 system; linked-list scheme; load balancing; molecular
                 dynamics method; molecular dynamics simulations;
                 multiple- time-step approach; parallel algorithms;
                 particle decomposition; physics computing; potential
                 energy",
  pubcountry =   "Netherlands",
  treatment =    "P Practical",
}

@Book{Khoromskij:1993:CEC,
  author =       "B. N. Khoromskij and G. E. Mazurkevich and {\`E}. G.
                 Nikonov",
  title =        "Cost-effective computations with boundary interface
                 operators in elliptic problems",
  publisher =    "Ob\cdprime ed. Inst. Yadernykh Issled.",
  address =      "Dubna, USSR",
  pages =        "25",
  year =         "1993",
  MRclass =      "65N55 (47G30)",
  MRnumber =     "1243879 (94m:65188)",
  MRreviewer =   "Jan Mandel",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
                 Yadernykh Issledovani\u\i. Dubna} [Communications of
                 the Joint Institute for Nuclear Research. Dubna],
                 E11-93-163",
  acknowledgement = ack-nhfb,
}

@Article{Khoromskij:1993:SEP,
  author =       "B. N. Khoromskij and W. L. Wendland",
  title =        "Spectrally equivalent preconditioners for boundary
                 equations in substructuring techniques",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "1",
  pages =        "1--26",
  year =         "1993",
  CODEN =        "EJNMEA",
  ISSN =         "0928-0200",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "1253625 (94j:65048)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "East-West Journal of Numerical Mathematics",
}

@Article{Kurbatov:1993:SEC,
  author =       "A. A. Kurbatov",
  title =        "Some estimates concerning the overlapping domain
                 decomposition method for the convection-diffusion
                 equation",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "4",
  pages =        "303--309",
  year =         "1993",
  CODEN =        "EJNMEA",
  ISSN =         "0928-0200",
  MRclass =      "65M55 (65M15 76M25 76Rxx)",
  MRnumber =     "1318808 (95m:65158)",
  MRreviewer =   "Bruno Scheurer",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "East-West Journal of Numerical Mathematics",
}

@InCollection{Laevskii:1993:DDP,
  author =       "Yu. M. Laevski{\u\i}",
  booktitle =    "{Computing methods and technology for solving problems
                 in mathematical physics (Russian)}",
  title =        "Domain decomposition for parabolic problems with
                 discontinuous solutions, and the penalty method",
  publisher =    "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "3--29",
  year =         "1993",
  MRclass =      "65M55",
  MRnumber =     "1351543 (96f:65128)",
  MRreviewer =   "Snezhana Gocheva-Ilieva",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{Laevskii:1993:EID,
  author =       "Yu. M. Laevski{\u\i}",
  booktitle =    "{Computing methods and technology for solving problems
                 in mathematical physics (Russian)}",
  title =        "Explicit-implicit domain decomposition method for
                 solving parabolic equations",
  publisher =    "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "30--46",
  year =         "1993",
  MRclass =      "65M55",
  MRnumber =     "1351544 (96f:65129)",
  MRreviewer =   "Snezhana Gocheva-Ilieva",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Laevskii:1993:MDO,
  author =       "Yu. M. Laevski{\u\i} and S. A. Litvinenko",
  title =        "{O} metode dekompozitsii oblasti s pokomponentnym
                 rasshchepleniem resheniya parabolicheskikh uravnenii",
  volume =       "991",
  publisher =    "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr",
  address =      "Novosibirsk, USSR",
  pages =        "ii + 37",
  year =         "1993",
  MRclass =      "65M55 (65N55)",
  MRnumber =     "1282722 (95b:65114)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "{\cyr Preprint} [Preprint]",
  acknowledgement = ack-nhfb,
}

@Book{Laevskii:1993:MKE,
  author =       "Yu. M. Laevski{\u\i}",
  title =        "Metod konechnykh elementov resheniya mnogomernykh
                 parabolicheskikh uravnenii",
  publisher =    "Novosibirsk. Gos. Univ.",
  address =      "Novosibirsk, USSR",
  pages =        "104",
  year =         "1993",
  ISBN =         "5-230-13543-3",
  ISBN-13 =      "978-5-230-13543-2",
  MRclass =      "65-01 (65M55 65M60)",
  MRnumber =     "1449138 (97m:65004)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Lai:1993:DDM,
  author =       "C.-H. Lai",
  title =        "Domain decomposition methods for semiconductor device
                 problems on a {Cray S-MP}",
  journal =      j-IJSA,
  volume =       "7",
  number =       "4",
  pages =        "337--348",
  month =        "Winter",
  year =         "1993",
  CODEN =        "IJSAE9",
  ISSN =         "0890-2720",
  bibdate =      "Tue Feb 18 09:47:23 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover
                 library database",
  acknowledgement = ack-nhfb,
  affiliation =  "Centre for Numerical Modelling and Process Anal.,
                 Greenwich Univ., London, UK",
}

@Article{Lai:1993:SSD,
  author =       "C.-H. Lai and H. J. J. {te Riele}",
  title =        "Solving some {$1$-D} semiconductor device problems on
                 a matrix coprocessor using a domain decomposition
                 method",
  journal =      j-SUPERCOMPUTER,
  volume =       "10",
  number =       "1",
  pages =        "24--32",
  month =        jan,
  year =         "1993",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercom.bib;
                 Parallel/mgnet.bib; Parallel/Multi.grid.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Sch. of Math., Stat. and Comput., Greenwich Univ.,
                 London, UK",
  classification = "C5440 (Multiprocessor systems and techniques);
                 C7410D (Electronic engineering)",
  corpsource =   "Sch. of Math., Stat. and Comput., Greenwich Univ.,
                 London, UK",
  keywords =     "1-D; coarse-grained; Cray S-MP; digital simulation;
                 electronic engineering; matrix coprocessor;
                 nonoverlapped domain decomposition; parallel computer;
                 satellite computers; semiconductor device models;
                 semiconductor device problems; shared memory; shared
                 memory systems",
  pubcountry =   "Netherlands",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Li:1993:DDM,
  author =       "Cui Hua Li and Kai Tai Li",
  title =        "The domain decomposition method for fracture
                 problems",
  journal =      j-J-NUMER-METHODS-COMPUT-APPL,
  volume =       "14",
  number =       "4",
  pages =        "272--279",
  year =         "1993",
  ISSN =         "1000-3266",
  MRclass =      "73V20 (65N55 73M25)",
  MRnumber =     "1264957 (95c:73090)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal on Numerical Methods and Computer
                 Applications. Shuzhi Jisuan yu Jisuanji Yingyong",
}

@Article{Liang:1993:NCD,
  author =       "Guo-ping Liang and Jiang-heng He",
  title =        "The non-conforming domain decomposition method for
                 elliptic problems with {Lagrangian} multipliers",
  journal =      "Chinese J. Numer. Math. Appl.",
  volume =       "15",
  number =       "1",
  pages =        "8--19",
  year =         "1993",
  ISSN =         "0899-4358",
  MRclass =      "65N55",
  MRnumber =     "1600626",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Chinese Journal of Numerical Mathematics and
                 Applications",
}

@Book{Lions:1993:BVP,
  editor =       "J.-L. Lions and C. Baiocchi",
  title =        "Boundary value problems for partial differential
                 equations and applications",
  volume =       "29",
  publisher =    pub-MASSON,
  address =      pub-MASSON:adr,
  pages =        "xii + 460",
  year =         "1993",
  ISBN =         "2-225-84334-1",
  ISBN-13 =      "978-2-225-84334-1",
  MRclass =      "35-06",
  MRnumber =     "1260434 (94i:35002)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Dedicated to E. Magenes",
  series =       "RMA: Research Notes in Applied Mathematics",
  acknowledgement = ack-nhfb,
}

@InProceedings{Mandel:1993:HDD,
  author =       "Jan Mandel",
  editor =       "Alfio Quarteroni",
  booktitle =    "Sixth Conference on Domain Decomposition Methods for
                 Partial Differential Equations",
  title =        "Hybrid Domain Decomposition with Unstructured
                 Subdomains",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  year =         "1993",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Held in Como, Italy, June 15--19,1992. To appear",
}

@Article{Mathew:1993:SAIa,
  author =       "Tarek P. Mathew",
  title =        "{Schwarz} alternating and iterative refinement methods
                 for mixed formulations of elliptic Problems, Part {I}:
                 Algorithms and Numerical Results",
  journal =      j-NUM-MATH,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Article{Mathew:1993:SAIb,
  author =       "Tarek P. Mathew",
  title =        "{Schwarz} alternating and iterative refinement methods
                 for mixed formulations of elliptic Problems, Part {II}:
                 {Theory}",
  journal =      j-NUM-MATH,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@Book{Miller:1993:AAC,
  editor =       "J. J. H. Miller",
  title =        "Applications of advanced computational methods for
                 boundary and interior layers",
  publisher =    pub-BOOLE,
  address =      pub-BOOLE:adr,
  pages =        "viii + 215",
  year =         "1993",
  ISBN =         "1-85748-001-5; 1-85748-002-3",
  ISBN-13 =      "978-1-85748-001-6; 978-1-85748-002-3",
  MRclass =      "65-06 (76-06)",
  MRnumber =     "1245729 (94e:65006)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Advanced Computational Methods for Boundary and
                 Interior Layers, 2",
  acknowledgement = ack-nhfb,
}

@Article{Nguyen:1993:NSA,
  author =       "Hoa D. Nguyen and Seungho Paik",
  title =        "A noniterative solution approach for parallel
                 pseudospectral domain decomposition",
  journal =      "J. Sci. Comput.",
  volume =       "8",
  number =       "4",
  pages =        "357--372",
  year =         "1993",
  CODEN =        "JSCOEB",
  DOI =          "http://dx.doi.org/10.1007/BF01061144",
  ISSN =         "0885-7474",
  MRclass =      "65N50 (76M25)",
  MRnumber =     "1252148",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
}

@InCollection{Ohring:1993:MDD,
  author =       "Sabine R. {\"O}hring and Sajal K. Das",
  booktitle =    "{Algorithms and computation (Hong Kong, 1993)}",
  title =        "Mapping dynamic data and algorithm structures into
                 product networks",
  volume =       "762",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "147--156",
  year =         "1993",
  MRclass =      "68M10 (68M07 68Q10)",
  MRnumber =     "1288771 (95f:68022)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Lecture Notes in Comput. Sci.",
  acknowledgement = ack-nhfb,
}

@Article{Oswald:1993:BPE,
  author =       "P. Oswald",
  title =        "On a {BPX-preconditioner} for {${\rm P}1$} elements",
  journal =      j-COMPUTING,
  volume =       "51",
  number =       "2",
  pages =        "125--133",
  year =         "1993",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02243847",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65F35 (65F10 65N30)",
  MRnumber =     "1248895 (94k:65064)",
  MRreviewer =   "Ljiljana Petkovi{\'c}",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing. Archives for Scientific Computing",
}

@Article{Ovtchinnikov:1993:CWC,
  author =       "E. Ovtchinnikov",
  title =        "On the construction of a well-conditioned basis for
                 the projection decomposition method",
  journal =      j-CALCOLO,
  volume =       "30",
  number =       "3",
  pages =        "255--271 (1994)",
  year =         "1993",
  CODEN =        "CDABAE",
  DOI =          "http://dx.doi.org/10.1007/BF02575856",
  ISSN =         "0008-0624",
  MRclass =      "65N30",
  MRnumber =     "1353270 (96g:65110)",
  MRreviewer =   "D. Schultz",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
}

@TechReport{Pavarino:1993:ISM,
  author =       "Luca F. Pavarino and Olof B. Widlund",
  title =        "Iterative Substructuring Methods for p-version Finite
                 Elements in Three Dimensions",
  institution =  "Courant Institute of Mathematical Sciences, Department
                 of Computer Science",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@TechReport{Pavarino:1993:SML,
  author =       "Luca F. Pavarino",
  title =        "{Schwarz} Methods with Local Refinement for the
                 p-version Finite Element Method",
  number =       "TR93-01",
  institution =  "Rice University, Department of Computational and
                 Applied Mathematics",
  month =        jan,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Numer. Math.",
}

@InProceedings{Pavarino:1993:SSA,
  author =       "Luca F. Pavarino",
  editor =       "Alfio Quarteroni",
  booktitle =    "Sixth Conference on Domain Decomposition Methods for
                 Partial Differential Equations",
  title =        "Some {Schwarz} Algorithms for the p-version Finite
                 Element Method",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  year =         "1993",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Held in Como, Italy, June 15--19,1992. To appear.
                 Technical report 614, Department of Computer Science,
                 Courant Institute",
}

@InCollection{Peric:1993:PMS,
  author =       "M. Peri{\'c} and E. Schreck",
  booktitle =    "{Numerische Algorithmen auf Transputer-Systemen
                 (Heidelberg, 1991)}",
  title =        "{Ein paralleler Mehrgitteralgorithmus zur
                 Str{\"o}mungsberechnung mittels Gebietszerlegung}.
                 ({German}) [{A} parallel multi-lattice algorithm for
                 flow computation via area dismantling]",
  publisher =    pub-TEUBNER,
  address =      pub-TEUBNER:adr,
  pages =        "189--206",
  year =         "1993",
  MRclass =      "65N06 (65Y05)",
  MRnumber =     "1239223",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Teubner Skr. Numer.",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@InProceedings{Prager:1993:TPI,
  author =       "Milan Pr{\'a}ger",
  booktitle =    "{Proceedings of ISNA '92---International Symposium on
                 Numerical Analysis, Part II (Prague, 1992)}",
  title =        "A two parameter iterative method for solving algebraic
                 systems of domain decomposition type",
  volume =       "38(6)",
  publisher =    "Mathematical Institute, Academy of Science of the
                 Czech Republic",
  address =      "Prague, Czech Republic",
  pages =        "470--478",
  year =         "1993",
  CODEN =        "APMTEO",
  ISSN =         "0862-7940",
  MRclass =      "65F10 (65M55 65N22 65N55)",
  MRnumber =     "1241450 (94i:65046)",
  MRreviewer =   "Li Shan Kang",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       j-APPL-MATH,
  acknowledgement = ack-nhfb,
  fjournal =     "Applications of Mathematics",
}

@TechReport{Rice:1993:CAN,
  author =       "John R. Rice and E. A. Vavalis and D. Yang",
  title =        "Convergence Analysis of a Non-Overlapping Domain
                 Decomposition Method for Elliptic {PDE}s",
  type =         "Technical report",
  number =       "TR-93-048",
  institution =  inst-CS-PURDUE,
  address =      inst-CS-PURDUE:adr,
  pages =        "8",
  month =        jul,
  year =         "1993",
  bibdate =      "Sun Dec 30 13:46:29 2007",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib",
  URL =          "http://www.cs.purdue.edu/research/technical_reports/1993/TR%2093-048.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Roeck:1993:NES,
  author =       "Yann-Herve De Roeck",
  title =        "Nonlinear elasticity solved by a domain decomposition
                 method on a hypercube",
  journal =      j-APPL-NUM-MATH,
  volume =       "12",
  number =       "5",
  pages =        "459--471",
  year =         "1993",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  bibdate =      "Fri Oct 22 11:34:57 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
}

@Article{Rui:1993:SAM,
  author =       "Hong Xing Rui",
  title =        "A {Schwarz} alternating method for a class of
                 parabolic equations and error analyses",
  journal =      "Numer. Math. J. Chinese Univ.",
  volume =       "15",
  number =       "4",
  pages =        "360--368",
  year =         "1993",
  ISSN =         "1000-081X",
  MRclass =      "65M55 (65M12)",
  MRnumber =     "1271307 (94m:65152)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Mathematics. A Journal of Chinese
                 Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao",
}

@Article{Rusten:1993:SPE,
  author =       "Torgeir Rusten and Ragnar Winther",
  title =        "Substructure preconditioners for elliptic saddle point
                 problems",
  journal =      j-MATH-COMPUT,
  volume =       "60",
  number =       "201",
  pages =        "23--48",
  month =        jan,
  year =         "1993",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N55 (65F10 65N30 76S05)",
  MRnumber =     "93d:65108",
  MRreviewer =   "M. M. Sussman",
  bibdate =      "Tue Mar 25 15:38:13 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290T (Finite element analysis); B0290P (Differential
                 equations); B0290H (Linear algebra); C4185 (Finite
                 element analysis); C4170 (Differential equations);
                 C4140 (Linear algebra)",
  corpsource =   "Dept. of Math., Oslo Univ., Blindern, Norway",
  keywords =     "analysis; boundary conditions; boundary-value
                 problems; Dirichlet boundary conditions;
                 discretizations; domain decomposition preconditioners;
                 elliptic equations; elliptic saddle point; finite
                 element; interior boundary; iteration; iterative
                 methods; linear systems; matrix algebra; mesh
                 parameter; minimum residual method; mixed finite
                 element; Neumann; problems; second-order elliptic
                 boundary value",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Sarkis:1993:TLS,
  author =       "Marcus Sarkis",
  title =        "Two-Level {Schwarz} Methods for Nonconforming Finite
                 Elements and Discontinuous Coefficients",
  number =       "629",
  institution =  "Courant Institute of Mathematical Sciences, Department
                 of Computer Science",
  month =        mar,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Shishkin:1993:IGM,
  author =       "G. I. Shishkin",
  title =        "Iterative grid methods for singularly perturbed
                 elliptic equations degenerating into zero-order ones",
  journal =      j-RUSS-J-NUM-ANAL-MATH-MODEL,
  volume =       "8",
  number =       "4",
  pages =        "341--369",
  year =         "1993",
  CODEN =        "RJNMEH",
  DOI =          "http://dx.doi.org/10.1515/rnam.1993.8.4.341",
  ISSN =         "0927-6467",
  MRclass =      "65N06 (65N55)",
  MRnumber =     "1244045 (95h:65075)",
  MRreviewer =   "V. D. Glushenkov",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Russian Journal of Numerical Analysis and Mathematical
                 Modelling",
}

@InProceedings{Singh:1993:PAF,
  author =       "Jaswinder P. Singh and Chris Holt and John L. Hennessy
                 and Anoop Gupta",
  title =        "A Parallel Adaptive Fast Multipole Method",
  crossref =     "IEEE:1993:PSP",
  pages =        "54--67",
  year =         "1993",
  bibdate =      "Tue Oct 27 18:18:33 MST 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/fastmultipole.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Stanford Univ",
  affiliationaddress = "Stanford, CA, USA",
  classification = "723; 723.5; C4190 (Other numerical methods); C4240P
                 (Parallel programming and algorithm theory); C7320
                 (Physics and chemistry computing); C7350 (Astronomy and
                 astrophysics computing)",
  corpsource =   "Comput. Sys. Lab., Stanford Univ., CA, USA",
  keywords =     "45-fold speedups; 48-processor Stanford DASH machine;
                 Adaptive fast multipole method; architectures;
                 astronomy computing; Computer simulation; Data
                 locality; data locality; effective parallel
                 performance; Fast multipole method (FMM); galactic
                 simulations; load balancing; N-body applications;
                 N-body problems; parallel adaptive fast multipole
                 method; parallel algorithms; Parallel processing
                 systems; physics computing; representative N- body
                 application; resource allocation; shared address space
                 multiprocessor; shared memory systems; Stanford dash
                 machine; Static domain decomposition; Two-ring Kendall
                 Square Research KSR-1; two-ring Kendall Square Research
                 KSR-1; uniform FMM",
  sponsororg =   "IEEE; ACM SIGARCH",
  treatment =    "P Practical",
  xxpages =      "54--65",
}

@Article{Smith:1993:PIIa,
  author =       "Barry F. Smith",
  title =        "A Parallel Implementation of an Iterative
                 Substructuring Algorithm for Problems in Three
                 Dimensions",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "14",
  number =       "2",
  pages =        "406--423",
  month =        mar,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Strikwerda:1993:DDM,
  author =       "John C. Strikwerda and Carl D. Scarbnick",
  title =        "A domain decomposition method for incompressible
                 viscous flow",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "14",
  number =       "1",
  pages =        "49--67",
  month =        jan,
  year =         "1993",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65N55 (76D05 76D07 76M20)",
  MRnumber =     "93h:65156",
  bibdate =      "Tue Apr 29 18:15:07 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
}

@Article{Swann:1993:ULM,
  author =       "Howard Swann",
  title =        "On the use of {Lagrange} multipliers in domain
                 decomposition for solving elliptic problems",
  journal =      j-MATH-COMPUT,
  volume =       "60",
  number =       "201",
  pages =        "49--78",
  month =        jan,
  year =         "1993",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  MRclass =      "65N30 (65N15 65N35)",
  MRnumber =     "93d:65101",
  bibdate =      "Tue Mar 25 15:38:13 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290T (Finite element analysis); B0290P (Differential
                 equations); B0290B (Error analysis in numerical
                 methods); C4185 (Finite element analysis); C4170
                 (Differential equations); C4110 (Error analysis in
                 numerical methods)",
  corpsource =   "Dept. of Math. and Comput. Sci., San Jose State Univ.,
                 CA, USA",
  keywords =     "analysis; convergence; convergence of numerical
                 methods; domain decomposition; elliptic equations;
                 elliptic problems; equations; error; error estimates;
                 finite element analysis; finite element approximations;
                 homogeneous Dirichlet problem; hybrid method; Lagrange;
                 multipliers; partial differential; PDE; primal;
                 selfadjoint equations; variational techniques",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Szyld:1993:VAS,
  author =       "Daniel B. Szyld and Olof B. Widlund",
  title =        "Variational Analysis of Some Conjugate Gradient
                 Methods",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "1",
  pages =        "51--74",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "94m:65058",
  MRreviewer =   "Zuhe Shen",
  bibdate =      "Fri Oct 23 19:09:40 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InCollection{Tallec:1993:DDM,
  author =       "P. Le Tallec and J. A. Sousa Rodrigues",
  booktitle =    "{Finite elements in fluids, Part I, II (Barcelona,
                 1993)}",
  title =        "Domain decomposition method with nonmatching grids
                 applied to fluid dynamics",
  publisher =    "Centro Internac. M{\'e}todos Num{\'e}r. Ing.",
  address =      "Barcelona, Spain",
  pages =        "418--426",
  year =         "1993",
  MRclass =      "76M25 (65N55 76M10)",
  MRnumber =     "1292054",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Tallec:1993:NND,
  author =       "Patric Le Tallec",
  title =        "Neumann-{Neumann} domain decomposition algorithms for
                 solving {$2$D} elliptic problems with nonmatching
                 grids",
  journal =      j-EW-J-NUM-MATH,
  volume =       "1",
  number =       "2",
  pages =        "129--146",
  year =         "1993",
  CODEN =        "EJNMEA",
  ISSN =         "0928-0200",
  MRclass =      "65N12 (65N55)",
  MRnumber =     "1253632 (95b:65129)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "East-West Journal of Numerical Mathematics",
}

@InCollection{Timmermans:1993:SMA,
  author =       "L. J. P. Timmermans and F. N. {van de Vosse}",
  booktitle =    "{Numerical methods for advection-diffusion problems}",
  title =        "Spectral methods for advection-diffusion problems",
  volume =       "45",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "171--194",
  year =         "1993",
  MRclass =      "76M25 (65M70)",
  MRnumber =     "1251541 (94k:76079)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Notes Numer. Fluid Mech.",
  acknowledgement = ack-nhfb,
}

@Article{Tzaferopoulos:1993:DCS,
  author =       "M. A. Tzaferopoulos and P. D. Panagiotopoulos",
  title =        "Delamination of composites as a substationarity
                 problem: numerical approximation and algorithms",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "110",
  number =       "1--2",
  pages =        "63--85",
  year =         "1993",
  CODEN =        "CMMECC",
  DOI =          "http://dx.doi.org/10.1016/0045-7825(93)90020-X",
  ISSN =         "0045-7825, 0374-2830",
  MRclass =      "73K20 (73V05 73V25)",
  MRnumber =     "1255012 (94i:73067)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
}

@Book{Vajtersic:1993:AEP,
  author =       "Mari{\'a}n Vajter{\v{s}}ic",
  title =        "Algorithms for elliptic problems",
  volume =       "58",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xviii + 292",
  year =         "1993",
  ISBN =         "0-7923-1918-4",
  ISBN-13 =      "978-0-7923-1918-4",
  MRclass =      "65-02 (65N06 65Y05)",
  MRnumber =     "1246333 (95a:65003)",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  note =         "Efficient sequential and parallel solvers, Translated
                 from the 1988 Slovak edition by Jozef Draveck{\'y}",
  series =       "Mathematics and its Applications (East European
                 Series)",
  acknowledgement = ack-nhfb,
}

@InProceedings{VanderWijngaart:1993:EID,
  author =       "Rob F. {Van der Wijngaart}",
  title =        "Efficient Implementation of a {3-Dimensional ADI}
                 Method on the {iPSC\slash 860}",
  crossref =     "IEEE:1993:PSP",
  pages =        "102--111",
  year =         "1993",
  bibdate =      "Wed Apr 15 12:04:03 MDT 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "NASA Ames Research Cent",
  affiliationaddress = "Moffett Field, CA, USA",
  classification = "641.2; 723; 921; C4170 (Differential equations);
                 C4240P (Parallel programming and algorithm theory);
                 C6120 (File organisation)",
  corpsource =   "NASA Ames Res. Center, Moffett Field, CA, USA",
  keywords =     "3-dimensional ADI method; Algorithms; alternating
                 direction implicit; Bruno-Cappello decomposition;
                 computations-communications overlap; Computer aided
                 analysis; Differential equations; distributed memory
                 systems; domain decomposition strategies; Heat
                 transfer; Implicit numerical algorithms; Intel
                 iPSC/860; Intel iPSC/860 processor; load balancing;
                 memory efficiency; MIMD distributed memory parallel
                 computer; Network latency; network latency; numerical
                 algorithm; numerical analysis; optimal computational
                 speed; parallel algorithms; Parallel processing
                 systems; partial differential equations; processor idle
                 time; resource allocation; storage allocation; storage
                 requirements; Three dimensional heat equation;
                 Three-dimensional adi method; three-dimensional heat
                 equation; three-dimensional partial differential
                 equations",
  sponsororg =   "IEEE; ACM SIGARCH",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Yang:1993:SDD,
  author =       "Dan-ping Yang",
  title =        "{Schwarz} domain decomposition algorithms for boundary
                 element method",
  journal =      "Numer. Math. J. Chinese Univ. (English Ser.)",
  volume =       "2",
  number =       "2",
  pages =        "154--161",
  year =         "1993",
  ISSN =         "1004-8979 (print), 2079-7338 (electronic)",
  MRclass =      "65M55",
  MRnumber =     "1390728 (97b:65112)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Mathematics. A Journal of Chinese
                 Universities. (English Series)",
}

@Article{Zhang:1993:OPD,
  author =       "Sheng Zhang",
  title =        "Optimal preconditioning in the domain decomposition
                 method for second-order elliptic equations",
  journal =      "Math. Numer. Sinica",
  volume =       "15",
  number =       "2",
  pages =        "235--241",
  year =         "1993",
  ISSN =         "0254-7791",
  MRclass =      "65N55",
  MRnumber =     "1392604 (97a:65110)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Numerica Sinica. Jisuan Shuxue",
}

@Article{Adzic:1994:DDS,
  author =       "Nevenka Ad{\v{z}}i{\'c}",
  title =        "Domain decomposition for spectral approximation of the
                 layer solution",
  journal =      "Zb. Rad. Prirod.-Mat. Fak. Ser. Mat.",
  volume =       "24",
  number =       "1",
  pages =        "347--357",
  year =         "1994",
  ISSN =         "0352-0900",
  MRclass =      "65L50 (34A45)",
  MRnumber =     "1333594 (96b:65076)",
  MRreviewer =   "Beny Neta",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Zbornik Radova Prirodno-Matematichkog Fakulteta.
                 Serija za Matematiku. Review of Research. Faculty of
                 Science. Mathematics Series",
}

@InProceedings{Ambrosiano:1994:HCS,
  author =       "J. J. Ambrosiano and J. Bolstad and A. J. Bourgeois
                 and J. C. Brown",
  title =        "High-Performance Climate System Modeling Using a
                 Domain and Task Decomposition Message-Passing
                 Approach",
  crossref =     "IEEE:1994:PSH",
  pages =        "397--405",
  year =         "1994",
  bibdate =      "Mon Aug 26 10:38:41 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Bjorstad:1994:PDDa,
  author =       "P. E. Bj{\o}rstad and W. M. {Coughran, Jr.} and E. H.
                 Grosse",
  title =        "Parallel Domain Decomposition Applied to Coupled
                 Transport Equations",
  type =         "Numerical Analysis Manuscript",
  number =       "94-3",
  institution =  pub-ATT-BELL,
  address =      pub-ATT-BELL:adr,
  year =         "1994",
  bibdate =      "Fri Nov 11 15:54:40 MST 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/coughran-william-m.bib",
  URL =          "ftp://netlib.bell-labs.com/netlib/att/cs/doc/94/4-03.ps.gz",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bubak:1994:FLG,
  author =       "M. Bubak and J. Moscinski and R. Slota",
  title =        "{FHP} lattice gas on networked workstations",
  crossref =     "Gruber:1994:PJE",
  pages =        "427--430",
  year =         "1994",
  bibdate =      "Sun Dec 22 10:20:45 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/pvm.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. of Control Sci., Cracow, Poland",
  classification = "A0550 (Lattice theory and statistics; A4710 (General
                 fluid dynamics theory, simulation and other
                 computational methods); C4240P (Parallel programming
                 and algorithm theory); C6110P (Parallel programming);
                 C6150N (Distributed systems software); C6185
                 (Simulation techniques); C7320 (Physics and chemistry
                 computing); Ising problems)",
  keywords =     "Computer power; Domain decomposition; Dynamic load
                 balancing; FHP lattice gas; Fluid flows; Lattice gas
                 simulation; Networked workstations; Normal load;
                 Parallel algorithm; Parallel distributed program; PVM",
  thesaurus =    "Digital simulation; Flow simulation; Fluid dynamics;
                 Lattice gas; Local area networks; Operating systems
                 [computers]; Parallel algorithms; Parallel programming;
                 Physics computing; Resource allocation; Workstations",
}

@InProceedings{Bubak:1994:IPL,
  author =       "M. Bubak and J. Moscinski and R. Slota",
  title =        "Implementation of Parallel Lattice Gas Program on
                 Workstations under {PVM}",
  crossref =     "Dongarra:1994:PSC",
  pages =        "136--146",
  year =         "1994",
  bibdate =      "Wed Apr 16 06:39:19 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/pvm.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza,
                 Cracow, Poland",
  classification = "A0270 (Computational techniques); A0545 (Theory and
                 models of chaotic systems); A0550 (Lattice theory and
                 statistics; A4710 (General fluid dynamics theory,
                 simulation and other computational methods); C4220
                 (Automata theory); C4240P (Parallel programming and
                 algorithm theory); C6110P (Parallel programming); C7320
                 (Physics and chemistry computing); Ising problems)",
  conflocation = "Lyngby, Denmark; 20-23 June 1994",
  conftitle =    "Proceedings of Workshop on Parallel Scientific
                 Computing",
  corpsource =   "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza,
                 Cracow, Poland",
  keywords =     "algorithms; balancing; cellular automata; domain
                 decomposition; Domain decomposition; dynamic load;
                 Dynamic load balancing; flow simulation; fluid flow
                 simulation; Fluid flow simulation; lattice gas; lattice
                 gas automata program; Lattice gas automata program;
                 parallel; parallel lattice gas program; Parallel
                 lattice gas program; physics computing",
  pubcountry =   "Germany",
  sponsororg =   "Danish Comput. Centre for Res. and Educ.; Inst. Math.
                 Modelling; Tech. Univ. Denmark",
  thesaurus =    "Cellular automata; Flow simulation; Lattice gas;
                 Parallel algorithms; Physics computing",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cai:1994:CSD,
  author =       "Xiao-Chuan Cai and William D. Gropp and David E.
                 Keyes",
  title =        "A Comparison of Some Domain Decomposition and {$ILU$}
                 Preconditioned Iterative Methods for Nonsymmetric
                 Elliptic Problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "1",
  number =       "5",
  pages =        "477--504",
  year =         "1994",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65N55",
  MRnumber =     "95i:65172",
  bibdate =      "Thu Jan 23 18:22:28 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Cai:1994:PIM,
  author =       "X.-C. Cai and W. D. Gropp and D. E. Keyes and M. D.
                 Tidriri",
  booktitle =    "{Domain decomposition methods in scientific and
                 engineering computing (University Park, PA, 1993)}",
  title =        "Parallel implicit methods for aerodynamics",
  volume =       "180",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "465--470",
  year =         "1994",
  MRclass =      "76M25 (76G25)",
  MRnumber =     "1611307",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Contemp. Math.",
  acknowledgement = ack-nhfb,
}

@InCollection{Camilli:1994:DDM,
  author =       "F. Camilli and M. Falcone and P. Lanucara and A.
                 Seghini",
  booktitle =    "{Domain decomposition methods in scientific and
                 engineering computing (University Park, PA, 1993)}",
  title =        "A domain decomposition method for {Bellman}
                 equations",
  volume =       "180",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "477--483",
  year =         "1994",
  MRclass =      "65N55 (49L25)",
  MRnumber =     "1312414 (95j:65159)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Contemp. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Chan:1994:ASD,
  author =       "Tony F. Chan and Jun Zou",
  title =        "Additive {Schwarz} domain decomposition methods for
                 elliptic problems on unstructured meshes",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "8",
  number =       "2--4",
  pages =        "329--346",
  month =        jan,
  year =         "1994",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  MRclass =      "65N55 (65N30)",
  MRnumber =     "95i:65174",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See erratum \cite{Chan:1995:EAS}.",
  acknowledgement = ack-nhfb,
  classification = "B0290P (Differential equations); B0290T (Finite
                 element analysis); C4170 (Differential equations);
                 C4185 (Finite element analysis)",
  corpsource =   "Dept. of Math., California Univ., Los Angeles, CA,
                 USA",
  keywords =     "additive Schwarz domain decomposition methods;
                 convergence of numerical methods; elliptic equations;
                 elliptic problems; finite element problems; global
                 coarse mesh; mesh generation; optimal convergence;
                 Schwarz domain decomposition methods; structured
                 meshes; unstructured meshes",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Chan:1994:DDM,
  author =       "Tony F. Chan and Barry F. Smith",
  title =        "Domain decomposition and multigrid algorithms for
                 elliptic problems on unstructured meshes",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "2",
  pages =        "171--182",
  year =         "1994",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.2.1994/pp171-182.dir/pp171-182.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
}

@Article{Chan:1994:EVV,
  author =       "Tony F. Chan and Tarek P. Mathew and Jian Ping Shao",
  title =        "Efficient Variants of the Vertex Space Domain
                 Decomposition Algorithm",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "6",
  pages =        "1349--1374",
  month =        nov,
  year =         "1994",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65N55",
  MRnumber =     "95m:65209",
  MRreviewer =   "J. W. Neuberger",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
}

@Article{Chu:1994:CGD,
  author =       "De Lin Chu and Xian Cheng Hu",
  title =        "The convergence of {Glowinski}'s domain decomposition
                 algorithm for the {Stokes} equations",
  journal =      "Acta Math. Appl. Sinica",
  volume =       "17",
  number =       "4",
  pages =        "489--500",
  year =         "1994",
  CODEN =        "YYSPDS",
  ISSN =         "0254-3079",
  MRclass =      "65N12 (65N55 76D07 76M25)",
  MRnumber =     "1334368 (96d:65177)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue
                 Xuebao",
}

@Article{Chu:1994:DDM,
  author =       "De Lin Chu and Xian Cheng Hu",
  title =        "A domain decomposition method for solving second-order
                 elliptic equations with finite difference
                 approximations",
  journal =      "Math. Numer. Sinica",
  volume =       "16",
  number =       "3",
  pages =        "233--246",
  year =         "1994",
  ISSN =         "0254-7791",
  MRclass =      "65N55",
  MRnumber =     "1392848 (97a:65103)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematica Numerica Sinica. Jisuan Shuxue",
}

@Article{Ciarlet:1994:IDD,
  author =       "P. Ciarlet",
  title =        "Implementation of a Domain Decomposition Method
                 Well-Suited for (Massively) Parallel Architectures",
  journal =      j-INT-J-HIGH-SPEED-COMPUTING,
  volume =       "6",
  number =       "1",
  pages =        "157--??",
  year =         "1994",
  CODEN =        "IHSCEZ",
  ISSN =         "0129-0533",
  bibdate =      "Mon Feb 25 11:19:25 MST 2002",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/ijhsc.bib; OCLC
                 Article1st database",
  acknowledgement = ack-nhfb,
}

@InCollection{Coomer:1994:DDM,
  author =       "R. K. Coomer and I. G. Graham",
  booktitle =    "{Domain decomposition methods in scientific and
                 engineering computing (University Park, PA, 1993)}",
  title =        "Domain decomposition methods for device modelling",
  volume =       "180",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "491--496",
  year =         "1994",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "1312415 (95j:65160)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Contemp. Math.",
  acknowledgement = ack-nhfb,
}

@InCollection{Coron:1994:CBF,
  author =       "F. Coron",
  booktitle =    "{Computational aeronautical fluid dynamics (Antibes,
                 1989)}",
  title =        "Coupling {Boltzmann} and fluid equations",
  volume =       "44",
  publisher =    "Oxford Univ. Press",
  address =      "New York, NY, USA",
  pages =        "71--78",
  year =         "1994",
  MRclass =      "76P05 (76K05)",
  MRnumber =     "1383828 (97a:76107)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
}

@Article{Dawson:1994:EIC,
  author =       "Clint N. Dawson and Todd F. Dupont",
  title =        "Explicit\slash Implicit, Conservative Domain
                 Decomposition Procedures for Parabolic Problems Based
                 on Block-Centered Finite Differences",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "31",
  number =       "4",
  pages =        "1045--1061",
  month =        aug,
  year =         "1994",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65M55 (65M06 65M12)",
  MRnumber =     "95c:65148",
  MRreviewer =   "Bruno Scheurer",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Dawson:1994:TGM,
  author =       "Clint N. Dawson and Mary F. Wheeler",
  booktitle =    "{Domain decomposition methods in scientific and
                 engineering computing (University Park, PA, 1993)}",
  title =        "Two-grid methods for mixed finite element
                 approximations of nonlinear parabolic equations",
  volume =       "180",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "191--203",
  year =         "1994",
  MRclass =      "65M60 (65M55)",
  MRnumber =     "1312392 (95j:65117)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Contemp. Math.",
  acknowledgement = ack-nhfb,
}

@Article{Dryja:1994:DDA,
  author =       "Maksymilian Dryja and Olof B. Widlund",
  title =        "Domain Decomposition Algorithms with Small Overlap",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "3",
  pages =        "604--620",
  month =        may,
  year =         "1994",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "95d:65102",
  MRreviewer =   "W{\l}odzimierz Proskurowski",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain Resort, CO, 1992).",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ernst:1994:DDA,
  author =       "Oliver Ernst and Gene H. Golub",
  title =        "A domain decomposition approach to solving the
                 {Helmholtz} equation with a radiation boundary
                 condition",
  crossref =     "Quarteroni:1994:DDM",
  pages =        "177--192",
  year =         "1994",
  MRclass =      "65N55 (65F10)",
  MRnumber =     "95c:65210",
  MRreviewer =   "Jan Mandel",
  bibdate =      "Sun Jan 14 08:39:33 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Escaig:1994:PMD,
  author =       "Y. Escaig and G. Touzot and M. Vayssade",
  title =        "Parallelization of a multilevel domain decomposition
                 method",
  journal =      j-COMPUT-SYST-ENG,
  volume =       "5",
  number =       "3",
  pages =        "253--263",
  month =        jun,
  year =         "1994",
  CODEN =        "COSEEO",
  ISSN =         "0956-0521",
  bibdate =      "Sun Dec 22 10:18:08 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/pvm.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "CRIHAN, Mont Saint Aignan, France",
  classification = "C4185 (Finite element analysis); C5220P (Parallel
                 architecture); C5440 (Multiprocessing systems); C5470
                 (Performance evaluation and testing); C7310
                 (Mathematics computing)",
  keywords =     "CRAY Y-MP; Distributed memory machines; Distributed
                 memory systems; Ethernet network; Finite element
                 method; IBM RS/6000 workstations; Interface problem;
                 MIMD; Multilevel domain decomposition method; Multiple
                 instructions multiple data; Multiprocessor machines;
                 Parallel Virtual Machine; Performance; PVM; Shared
                 memory machine; Shared memory systems",
  pubcountry =   "UK",
  thesaurus =    "Cray computers; Distributed memory systems; Finite
                 element analysis; IBM computers; Mathematics computing;
                 Performance evaluation; Shared memory systems",
}

@Book{Evans:1994:PIM,
  editor =       "David J. Evans",
  title =        "Preconditioned iterative methods",
  volume =       "4",
  publisher =    "Gordon and Breach Science Publishers",
  address =      "Lausanne, Switzerland",
  pages =        "xii + 491",
  year =         "1994",
  ISBN =         "2-88124-956-6",
  ISBN-13 =      "978-2-88124-956-3",
  MRclass =      "65-06",
  MRnumber =     "1632352 (99d:65007)",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 MathSciNet database",
  series =       "Topics in Computer Mathematics",
  acknowledgement = ack-nhfb,
}

@Article{Ewing:1994:APP,
  author =       "R. E. Ewing and R. D. Lazarov",
  title =        "Approximation of parabolic problems on grids locally
                 refined in time and space",
  journal =      j-APPL-NUM-MATH,
  volume =       "14",
  number =       "1--3",
  pages =        "199--211",
  day =          "14",
  month =        apr,
  year =         "1994",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65M06",
  MRnumber =     "1 273 825",
  bibdate =      "Wed Jul 28 14:35:41 MDT 1999",
  bibsource =    "Compendex database;
                 http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=14&issue=1-3;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  note =         "Proceedings of the Third ARO Workshop on Adaptive
                 Methods for Partial Differential Equations (Troy, NY,
                 1992)",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=14&issue=1-3&aid=454",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Wyoming",
  affiliationaddress = "Laramie, WY, USA",
  classification = "921.1; 921.6",
  journalabr =   "Appl Numer Math",
  keywords =     "A posteriori error estimator; Approximation theory;
                 Composite grid system; Convergence of numerical
                 methods; Convergence theory; Domain decomposition
                 technique; Errors; Estimation; Finite difference
                 method; Galerkin method; Grids; Interpolation;
                 Iterative methods; Mathematical models; Piecewise
                 constant; Piecewise linear interpolation; Piecewise
                 linear techniques; Time dependent problems",
}

@Article{Falcone:1994:SAH,
  author =       "Maurizio Falcone and Piero Lanucara and Alessandra
                 Seghini",
  title =        "A splitting algorithm for {Hamilton--Jacobi--Bellman}
                 equations",
  journal =      j-APPL-NUM-MATH,
  volume =       "15",
  number =       "2",
  pages =        "207--218",
  day =          "13",
  month =        sep,
  year =         "1994",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "49L25 (65M55)",
  MRnumber =     "95h:49053",
  MRreviewer =   "Min Sun",
  bibdate =      "Wed Jul 28 14:35:48 MDT 1999",
  bibsource =    "Compendex database;
                 http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=15&issue=2;
                 http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  note =         "Innovative methods in numerical analysis (Bressanone,
                 1992).",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=15&issue=2&aid=493",
  acknowledgement = ack-nhfb,
  affiliation =  "Universita di Roma `La Sapienza'",
  affiliationaddress = "Roma, Italy",
  classification = "731.1; 921.2; 921.5; 921.6",
  journalabr =   "Appl Numer Math",
  keywords =     "Algorithms; Approximation theory; Computational
                 methods; Convergence of numerical methods; Differential
                 equations; Domain decomposition; Dynamic programming;
                 Function evaluation; Hamilton Jacobi Bellman equations;
                 Optimal control systems; Splitting algorithms;
                 Viscosity solutions",
}

@InCollection{Farhat:1994:TDD,
  author =       "Charbel Farhat and Po-Shu Chen",
  booktitle =    "{Domain decomposition methods in scientific and
                 engineering computing (University Park, PA, 1993)}",
  title =        "Tailoring domain decomposition methods for efficient
                 parallel coarse grid solution and for systems with many
                 right-hand sides",
  volume =       "180",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "401--406",
  year =         "1994",
  MRclass =      "65N55 (65Y05)",
  MRnumber =     "1312411",
  bibdate =      "Mon Oct 11 08:42:11 2010",
  bibsource =    "http://www.math.utah.edu/p