Suitable iterative methods for solving the linear system arising in the three fields domain decomposition method

DOI10.1016/j.amc.2004.12.035zbMath1087.65616OpenAlexW2091325992MaRDI QIDQ2573541

Yanyan Li

Publication date: 22 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.12.035

zbMATH Keywords

Galerkin methodnumerical examplesconjugate gradient methodPoisson equationIterative methodsPreconditioningThree fields domain decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Multilevel preconditioning
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Substructuring preconditioners for the three fields domain decomposition method
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Solution Methods

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