%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Petter Erling Bj{\o}rstad",
%%%     version         = "1.08",
%%%     date            = "14 November 1998",
%%%     time            = "18:55:53 MST",
%%%     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        = "31345 3616 14043 142956",
%%%     email           = "Petter.Bjorstad at ii.uib.no (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "numerical analysis, parallel computing",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications on
%%%                        domain decomposition.
%%%
%%%                        At version 1.08, the year coverage looked
%%%                        like this:
%%%
%%%                             1890 (   1)    1925 (   0)    1960 (   0)
%%%                             1892 (   0)    1927 (   0)    1962 (   1)
%%%                             1893 (   0)    1928 (   0)    1963 (   1)
%%%                             1896 (   1)    1931 (   0)    1966 (   1)
%%%                             1897 (   0)    1932 (   0)    1967 (   1)
%%%                             1899 (   0)    1934 (   1)    1969 (   1)
%%%                             1901 (   1)    1936 (   1)    1971 (   1)
%%%                             1902 (   0)    1937 (   0)    1972 (   2)
%%%                             1903 (   0)    1938 (   0)    1973 (   3)
%%%                             1904 (   0)    1939 (   0)    1974 (   1)
%%%                             1905 (   0)    1940 (   0)    1975 (   1)
%%%                             1906 (   0)    1941 (   0)    1976 (   1)
%%%                             1908 (   0)    1943 (   0)    1978 (   3)
%%%                             1909 (   0)    1944 (   1)    1979 (   1)
%%%                             1910 (   0)    1945 (   0)    1980 (   1)
%%%                             1911 (   0)    1946 (   0)    1981 (   2)
%%%                             1912 (   0)    1947 (   0)    1982 (   2)
%%%                             1913 (   0)    1948 (   0)    1983 (   2)
%%%                             1914 (   0)    1949 (   0)    1984 (   7)
%%%                             1915 (   0)    1950 (   0)    1985 (   6)
%%%                             1916 (   0)    1951 (   0)    1986 (  12)
%%%                             1917 (   0)    1952 (   0)    1987 (  10)
%%%                             1918 (   0)    1953 (   0)    1988 (  21)
%%%                             1919 (   0)    1954 (   0)    1989 (  37)
%%%                             1920 (   0)    1955 (   0)    1990 (  23)
%%%                             1921 (   0)    1956 (   2)    1991 (  38)
%%%                             1922 (   0)    1957 (   1)    1992 (  30)
%%%                             1923 (   0)    1958 (   1)    1993 (  17)
%%%                             19xx (   2)
%%%
%%%                             Article:         84
%%%                             Book:            18
%%%                             InBook:           3
%%%                             InCollection:     1
%%%                             InProceedings:   63
%%%                             PhdThesis:       11
%%%                             Proceedings:      5
%%%                             TechReport:      51
%%%                             Unpublished:      2
%%%
%%%                             Total entries:  238
%%%
%%%                        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.",
%%%  }
%%% ====================================================================

%% 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

%
%                    Last updated March 25, 1993.
%

%-----------------------------------------------------------------------
% 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"}

%-----------------------------------------------------------------------
% Journal abbreviations:

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

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

@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-BIT                            = "BIT"}

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

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

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

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

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

@String{j-COMPUTING                      = "Computing"}

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

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

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

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

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

@String{j-MATH-COMPUT                    = "Math. Comp."}

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

@String{j-NUM-LIN-ALG-APPL               = "J. Numer. Lin. Alg. Appl."}

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

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

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

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

@String{j-SIAM-J-SCI-STAT-COMP           = "SIAM J. Sci.~Stat.~Comput."}

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

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

@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-ZAMM                           = "ZAMM"}

%-----------------------------------------------------------------------
% Publisher abbreviations:

@String{pub-AMS                          = "AMS"}

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

@String{pub-AP                           = "Academic Press"}

@String{pub-AP:adr                       = "New York, NY, USA"}

@String{pub-BULG-ACAD-SCI                = "Bulgarian Academy of Sciences"}

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

@String{pub-CUP                          = "Cambridge University Press"}

@String{pub-CUP:adr                      = "Cambridge, UK"}

@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-MATH-SOC-CHARKOV             = "Mathematical Society of Charkov"}

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

@String{pub-NAUKA                        = "Nauka"}

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

@String{pub-NH                           = "North-Holland"}

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

@String{pub-NTH                          = "NTH"}

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

@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-SIAM                         = "SIAM"}

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

@String{pub-SV                           = "Springer Verlag"}

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

@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-VERLAG                = "Vieweg-Verlag"}

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

@String{pub-VIEWEG:adr                   = "Braunschweig, Germany"}

@String{pub-ACADEMIA                     = "Academia"}

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

@String{pub-DOVER                        = "Dover Publications"}

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

@String{pub-MCGRAW-HILL                  = "McGraw-Hill"}

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

@String{pub-PRENTICE-HALL                = "Prentice-Hall"}

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

@String{pub-SPRINGER                     = "Springer-Verlag"}

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

@String{pub-WILEY                        = "John Wiley and Sons, Ltd."}

@String{pub-WILEY:adr                    = "New York, London, Sydney"}

%-----------------------------------------------------------------------
% 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 =    "ftp://ftp.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}",
  journal =      j-ACTA-MATH,
  volume =       "20",
  pages =        "59--??",
  year =         "1896",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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-CUP,
  address =      pub-CUP:adr,
  pages =        "xii + 314",
  year =         "1934",
  LCCN =         "QA303 .H32 1934",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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}",
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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}",
  journal =      j-ZAMM,
  volume =       "36",
  pages =        "7--8",
  year =         "1956",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Babuska:1957:SAP,
  author =       "Ivo Babu\v{s}ka",
  title =        "{{\"U}ber Schwarzsche Algorithmen in partielle
                 Differentialgleichungen der mathematischen Physik}",
  journal =      j-ZAMM,
  volume =       "37",
  number =       "7/8",
  pages =        "243--245",
  year =         "1957",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  publisher =    pub-ACADEMIA,
  address =      pub-ACADEMIA:adr,
  pages =        "351",
  year =         "1967",
  LCCN =         "QA377 .N4",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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",
  LCCN =         "QA3 .G75 v.181",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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",
  LCCN =         "TA335 .S77",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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 =    "ftp://ftp.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-AP,
  address =      pub-AP:adr,
  pages =        "309--332",
  year =         "1976",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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 =    "ftp://ftp.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-NH,
  address =      pub-NH:adr,
  pages =        "xvii + 530",
  year =         "1978",
  ISBN =         "0-444-85028-7",
  LCCN =         "QA3 .T3 v.49",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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}",
  journal =      j-CRAS-PARIS,
  volume =       "268",
  pages =        "325--328",
  year =         "1978",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
  LCCN =         "QA188 .G46 1980",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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 =    "ftp://ftp.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",
  LCCN =         "QA379 .O3 1976",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65F10",
  MRnumber =     "84h:65030",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

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

@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-AP,
  address =      pub-AP:adr,
  pages =        "245--256",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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}",
  title =        "Solving elliptic problems by domain decomposition
                 methods with applications",
  publisher =    pub-AP,
  address =      pub-AP:adr,
  pages =        "395--426",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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-NH,
  address =      pub-NH:adr,
  pages =        "3--14",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Proceedings of a conference held in Versailles,
                 France, December 12-16,1983.",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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-NH,
  address =      pub-NH:adr,
  pages =        "33--45",
  year =         "1984",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  LCCN =         "QA379 .G74 1985",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
  LCCN =         "TA642.P77 1985",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Reprint of McGraw Hill, 1968",
}

@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",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N20 (65F10 65N30)",
  MRnumber =     "88h:65188",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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",
  ISSN =         "0025-5718",
  MRclass =      "65N30 (65F10 65W05)",
  MRnumber =     "87m:65174",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR
                 database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
  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",
  MRclass =      "65N20 (65F10 65N30)",
  MRnumber =     "88a:65123",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib; JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 Journal of Numerical Analysis and Mathematical
                 Modelling",
  volume =       "1",
  pages =        "3--61",
  year =         "1986",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N20 (65F10 65N50)",
  MRnumber =     "87e:65070",
  MRreviewer =   "Harry Yserentant",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.bib; Parallel/Multi.grid.bib;
                 Theory/o_ccd.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  MRclass =      "65N30 (65F10 65N20)",
  MRnumber =     "87m:65199",
  MRreviewer =   "Stephen W. Brady",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@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",
  ISSN =         "0025-5718",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "88j:65248",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "Parallel/mgnet.bib; Parallel/Multi.grid.bib;
                 Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR
                 database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C4180 (Integral equations)",
  corpsource =   "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
  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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  ISSN =         "0036-1429",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "88e:65033",
  MRreviewer =   "Harry Yserentant",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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-CUP,
  address =      pub-CUP:adr,
  pages =        "278",
  year =         "1987",
  ISBN =         "0-521-34514-6",
  LCCN =         "TA347.F5 J621 1987",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
}

@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",
  title =        "{Poincar{\'e}-Steklov} Operators and Domain
                 Decomposition Methods in Finite Dimensional Spaces",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  ISSN =         "0025-5718",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "89e:65118",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N35 (65N30)",
  MRnumber =     "89b:65286",
  MRreviewer =   "Viorel Arnautu",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  title =        "A Method of Domain Decomposition for $3$-{D} Finite
                 Element Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Glowinski:1988:DDMb,
  author =       "Roland Glowinski and Mary F. 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",
  title =        "Domain Decomposition and Mixed Finite Element Methods
                 for Elliptic Problems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  title =        "On the {Schwarz} alternating method. {I}.",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Pasciak:1988:DDP,
  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",
  title =        "Domain Decomposition Preconditioners for Elliptic
                 Problems in Two and Three Dimensions: {First}
                 Approach",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  title =        "Iterative Substructuring Methods: {Algorithms} and
                 Theory for Elliptic Problems in the Plane",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1988",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
  MRclass =      "65N30 (65F35)",
  MRnumber =     "89m:65098",
  MRreviewer =   "Charles I. Goldstein",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 461, Department of Computer Science,
                 Courant Institute",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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-AP,
  address =      pub-AP:adr,
  pages =        "273--291",
  year =         "1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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.",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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)",
  LCCN =         "QA188 .G65 1989",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "91d:65054",
  MRreviewer =   "Beny Neta",
  bibdate =      "Fri Nov 13 11:52:23 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

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

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 463, Department of Computer Science,
                 Courant Institute",
}

@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",
  LCCN =         "QA377 .M32 1989",
  bibdate =      "Mon Jul 11 12:54:12 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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-COMP-MATH,
  volume =       "7",
  number =       "2",
  pages =        "200--208",
  year =         "1989",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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.",
}

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

@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",
  LCCN =         "QA377 .B26 1990",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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",
  journal =      j-MMAN,
  volume =       "24",
  number =       "5",
  pages =        "557--611",
  year =         "1990",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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",
  MRclass =      "65N30",
  MRnumber =     "91g:65235",
  MRreviewer =   "Chuan Miao Chen",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N30 (65F10)",
  MRnumber =     "90k:65170",
  MRreviewer =   "Wolfgang Moldenhauer",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Numer. Math.",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Haase:1990:NAD,
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Ph.D. Thesis. Computer Science Department",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRnumber =     "91c:41030",
  MRclass =      " 41A15 (41A25)",
  MRreviewer =   "G{\"u}nther N{\"u}rnberger",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  bibdate =      "Fri Oct 23 19:07:40 1998",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Smith:1990:DDAa,
  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",
  year =         "1990",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@PhdThesis{Smith:1990:DDAb,
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Tech. Rep. 517, Department of Computer Science,
                 Courant Institute",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N30 (65Y05)",
  MRnumber =     "92a:65282",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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",
  MRclass =      "65J10 (35P05 65Y05)",
  MRnumber =     "91m:65157",
  MRreviewer =   "I. Norman Katz",
  bibdate =      "Fri Nov 13 07:00:34 MST 1998",
  bibsource =    "ftp://ftp.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",
  MRclass =      "65J10 (65N55)",
  MRnumber =     "91m:65158",
  MRreviewer =   "Rong Hua Li",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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",
  MRclass =      "65J10 (65M55 65N22 65N55)",
  MRnumber =     "92d:65094",
  MRreviewer =   "I. P. Gavrilyuk",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Parallel/mgnet.bib;
                 Parallel/Multi.grid.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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 =    "ftp://ftp.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 =    "ftp://ftp.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",
  MRclass =      "65N30 (65N15 65N55)",
  MRnumber =     "91k:65140",
  MRreviewer =   "A. Quarteroni",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR
                 database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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{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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@InProceedings{Cowsar:1991:PDD,
  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 =    "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 May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "CAM 91-20",
}

@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",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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-CUP,
  address =      pub-CUP:adr,
  pages =        "57--100",
  year =         "1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  series =       "Acta Numerica 1992",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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-APP-NUM-ANA,
  volume =       "8",
  pages =        "411--425",
  year =         "1991",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear",
}

@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 =    "ftp://ftp.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",
  year =         "1991",
  bibsource =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "(part 2)",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "A revised version has been submitted to Numer. Math.",
}

@InProceedings{Roeck: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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@PhdThesis{Roeck: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",
  school =       "Universit{\'e} Paris IX Daupine",
  address =      "Paris, France",
  year =         "1991",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Smith:1991:DDAa,
  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",
  year =         "1991",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  LCCN =         "TA347.F5 S98 1991",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Elsevier Science Publishers, Amsterdam",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65N30 (65M60)",
  MRnumber =     "92b:65090",
  MRreviewer =   "J. T. Oden",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to Numer. Math",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65F30 (65F10 65F35 65N30)",
  MRnumber =     "93a:65059",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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:PMD,
  author =       "Lawrence C. Cowsar and Alan Weiser and Mary F.
                 Wheeler",
  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 Multigrid and Domain Decomposition Algorithms
                 for Elliptic Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1992",
  bibdate =      "Wed May 4 18:52:09 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "To appear in SIAM J. Sci. Stat. Comput.",
}

@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 =    "ftp://ftp.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: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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "In preparation; paper presented at ICOSAHOM 92,
                 Montpellier, France, June 1992",
}

@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 =    "ftp://ftp.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",
  MRclass =      "65N30 (65F99)",
  MRnumber =     "93k:65098",
  MRreviewer =   "J. T. Oden",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Smith:1992:ODDa,
  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",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Article{Xu:1992:IMS,
  author =       "Jinchao Xu",
  title =        "Iterative methods by space decomposition and subspace
                 correction",
  journal =      j-SIAM-REVIEW,
  volume =       "34",
  pages =        "581--613",
  month =        dec,
  year =         "1992",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@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",
  MRclass =      "65F10 (65N30)",
  MRnumber =     "92k:65063",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  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 =    "ftp://ftp.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 =    "ftp://ftp.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 =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  note =         "Submitted to SIAM J. Sci. Stat. Comput.",
}

@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 =    "ftp://ftp.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 =         "1