%%% ====================================================================
%%%  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 =         "1993",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65N55 (65F15 65N30)",
  MRnumber =     "94j:65141",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Mon Jan 20 15:27:00 MST 1997",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
  acknowledgement = ack-nhfb,
}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

@TechReport{Kaporin:19xx:BSP,
  author =       "I. E. Kaporin and L. Yu. Kolotilina and A. Yu.
                 Yermin",
  title =        "Block {SSOR} preconditionings for high order {3D} {FE}
                 systems {II}: incomplete {BSSOR} preconditionings",
  institution =  "The Department of Numerical Mathematics and
                 Cybernetics of the Moscow State University, Leninskije
                 Gory, 119899, Moscow B-234, USSR and the Leningrad
                 Branch of V. A. Steklov Mathematical Institute of the
                 USSR Academy of Sciences, Fontanka 27, Leningrad
                 191011, USSR and the Department of Numerical
                 Mathematics of the USSR Academy of Sciences, Ryleev
                 str. 29, 119034, Moscow, USSR",
  year =         "19xx",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@TechReport{Kolotilina:19xx:FSA,
  author =       "L. Yu. Kolotilina and A. Yu. Yermin",
  title =        "Factorized sparse approximate inverse
                 preconditioners",
  institution =  "The Leningrad Branch of V. A. Steklov Mathematical
                 Iinstitute of the USSR Academy of Sciences, Fontanka
                 27, Leningrad 191011, USSR and the Department of
                 Numerical Mathematics of the USSR Academy of Sciences,
                 Ryleev str. 29, 119034, Moscow, USSR",
  year =         "19xx",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
}

@Proceedings{Chan:1989:DDM,
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  title =        "Domain Decomposition 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",
  note =         "Proceedings of the Second International Symposium on
                 Domain Decomposition Methods, Los Angeles, California,
                 January 14--16, 1988.",
}

@Proceedings{Chan:1990:TIS,
  editor =       "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux
                 and Olof Widlund",
  title =        "Third International Symposium on Domain Decomposition
                 Methods for Partial Differential 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",
}

@Proceedings{Chan:1992:FIS,
  editor =       "Tony F. Chan and David E. Keyes and G{\'e}rard A.
                 Meurant and Jeffrey S. Scroggs and Robert G. Voigt",
  title =        "Fifth International Symposium on Domain Decomposition
                 Methods for Partial Differential 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",
}

@Proceedings{Glowinski:1988:DDMa,
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard A.
                 Meurant and Jacques P{\'e}riaux",
  title =        "Domain Decomposition Methods for Partial Differential
                 Equations",
  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",
  note =         "Proceedings of the First International Symposium on
                 Domain Decomposition Methods for Partial Differential
                 Equations, Paris, France, January 1987.",
}

@Proceedings{Glowinski:1991:FIS,
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  title =        "Fourth International Symposium on Domain Decomposition
                 Methods for 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",
}