article

Fourier analysis of iterative methods for elliptic boundary value problems

Authors:

T. F. Chan,

H. C. ElmanAuthors Info & Claims

SIAM Review, Volume 31, Issue 1

Pages 20 - 49

https://doi.org/10.1137/1031002

Published: 01 March 1989 Publication History

Abstract

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Fan HZheng B(2020)Modified SIMPLE preconditioners for saddle point problems from steady incompressible Navier–Stokes equationsJournal of Computational and Applied Mathematics10.1016/j.cam.2019.112360365:COnline publication date: 1-Feb-2020
https://dl.acm.org/doi/10.1016/j.cam.2019.112360
Niu QLu L(2010)Fourier analysis of frequency filtering decomposition preconditionersApplied Mathematics and Computation10.1016/j.amc.2009.12.024216:6(1805-1818)Online publication date: 1-May-2010
https://dl.acm.org/doi/10.1016/j.amc.2009.12.024
Chang SChien CJeng B(2007)An efficient algorithm for the Schrödinger-Poisson eigenvalue problemJournal of Computational and Applied Mathematics10.1016/j.cam.2006.05.013205:1(509-532)Online publication date: 1-Aug-2007
https://dl.acm.org/doi/10.1016/j.cam.2006.05.013
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Index Terms

Fourier analysis of iterative methods for elliptic boundary value problems
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
      2. Partial differential equations
    2. Numerical analysis
      1. Computation of transforms

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Published In

SIAM Review Volume 31, Issue 1

Mar. 1989

102 pages

ISSN:0036-1445

Editor:
P. Davis

Issue’s Table of Contents

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 March 1989

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Fan HZheng B(2020)Modified SIMPLE preconditioners for saddle point problems from steady incompressible Navier–Stokes equationsJournal of Computational and Applied Mathematics10.1016/j.cam.2019.112360365:COnline publication date: 1-Feb-2020
https://dl.acm.org/doi/10.1016/j.cam.2019.112360
Niu QLu L(2010)Fourier analysis of frequency filtering decomposition preconditionersApplied Mathematics and Computation10.1016/j.amc.2009.12.024216:6(1805-1818)Online publication date: 1-May-2010
https://dl.acm.org/doi/10.1016/j.amc.2009.12.024
Chang SChien CJeng B(2007)An efficient algorithm for the Schrödinger-Poisson eigenvalue problemJournal of Computational and Applied Mathematics10.1016/j.cam.2006.05.013205:1(509-532)Online publication date: 1-Aug-2007
https://dl.acm.org/doi/10.1016/j.cam.2006.05.013
Wan WChan T(2003)A Phase Error Analysis of Multigrid Methods for Hyperbolic EquationsSIAM Journal on Scientific Computing10.1137/S106482750240933X25:3(857-880)Online publication date: 1-Jan-2003
https://dl.acm.org/doi/10.1137/S106482750240933X
Benzi MGander MGolub G(2003)Optimization of the Hermitian and Skew-Hermitian Splitting Iteration for Saddle-Point ProblemsBIT10.1023/B:BITN.0000014548.26616.6543:5(881-900)Online publication date: 1-Dec-2003
https://dl.acm.org/doi/10.1023/B%3ABITN.0000014548.26616.65
Aruliah DAscher U(2002)Multigrid Preconditioning for Krylov Methods for Time-Harmonic Maxwell's Equations in Three DimensionsSIAM Journal on Scientific Computing10.1137/S106482750138735824:2(702-718)Online publication date: 1-Jan-2002
https://dl.acm.org/doi/10.1137/S1064827501387358
Elman H(1999)Preconditioning for the Steady-State Navier--Stokes Equations with Low ViscositySIAM Journal on Scientific Computing10.1137/S106482759631254720:4(1299-1316)Online publication date: 1-Feb-1999
https://dl.acm.org/doi/10.1137/S1064827596312547
Monga-Made M(1995)Ordering Strategies for Modified Block Incomplete FactorizationsSIAM Journal on Scientific Computing10.1137/091602416:2(378-399)Online publication date: 1-Mar-1995
https://dl.acm.org/doi/10.1137/0916024
Ern AGiovangigli VKeyes DSmooke M(1994)Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic ProblemsSIAM Journal on Scientific Computing10.1137/091504415:3(681-703)Online publication date: 1-May-1994
https://dl.acm.org/doi/10.1137/0915044
Donato JChan T(1992)Fourier Analysis of Incomplete Factorization Preconditioners for Three-Dimensional Anisotropic ProblemsSIAM Journal on Scientific and Statistical Computing10.1137/091301713:1(319-338)Online publication date: 1-Jan-1992
https://dl.acm.org/doi/10.1137/0913017
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A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations

Numerical methods for nonlinear fourth-order boundary value problems with applications

Singular boundary value problems for ODEs

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