%%% ====================================================================
%%% 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%%% Unpublished: 2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 P