Comparison of linear system solvers applied to diffusion-type finite element equations

DOI10.1007/BF01396343zbMath0647.65018OpenAlexW2061399867MaRDI QIDQ1104698

Han Zheng Chao, Anne Greenbaum, Congming Li

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133411

zbMATH Keywords

comparisonfinite elementsiterative methodspreconditioned conjugate gradient methodsdiagonal scalingincomplete Cholesky decompositionhierarchical basis functionslinear system solverschoice of preconditionerNeumann-Dirichlet domain decomposition techniqueserial and parallel architectures

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Uses Software

• LINPACK

Cites Work

• Unnamed Item
• On the multi-level splitting of finite element spaces
• The hierarchical basis multigrid method
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• A Comparison of Domain Decomposition Techniques for Elliptic Partial Differential Equations and their Parallel Implementation
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Solving Triangular Systems on a Parallel Computer
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Methods of conjugate gradients for solving linear systems
• On Best Conditioned Matrices

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