Positive stable preconditioners for symmetric indefinite linear systems arising from Helmholtz equations

DOI10.1016/j.physleta.2009.05.021zbMath1231.78010OpenAlexW2061366747MaRDI QIDQ662947

Liang Li, Liang-Lin Xiong, Shi-Liang Wu, Ting-Zhu Huang

Publication date: 13 February 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.05.021

zbMATH Keywords

Helmholtz equationelectromagneticspreconditionerKrylov subspace method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

Related Items (8)

A splitting method for complex symmetric indefinite linear system ⋮ Modified complex-symmetric and skew-Hermitian splitting iteration method for a class of complex-symmetric indefinite linear systems ⋮ A splitting iterative method for the discrete dynamic linear systems ⋮ A modified SSOR preconditioning strategy for Helmholtz equations ⋮ A double-parameter GPMHSS method for a class of complex symmetric linear systems from Helmholtz equation ⋮ A new iterative method for solving complex symmetric linear systems ⋮ A multigrid-based preconditioned Krylov subspace method for the Helmholtz equation with PML ⋮ A new two-parameter iteration method for indefinite complex symmetric linear systems

Cites Work

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• Preconditioning techniques for large linear systems: A survey
• On a class of preconditioners for solving the Helmholtz equation
• Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices
• Solution of Sparse Indefinite Systems of Linear Equations
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
• Methods of conjugate gradients for solving linear systems

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