Modified block preconditioners for the discretized time-harmonic Maxwell equations in mixed form

DOI10.1016/j.cam.2012.06.011zbMath1259.65064OpenAlexW2083175038MaRDI QIDQ455873

Ting-Zhu Huang, Cui-Xia Li, Shi-Liang Wu

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.06.011

zbMATH Keywords

numerical examplesfinite elementMaxwell equationspreconditionerKrylov subspace methodsaddle point systems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

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A generalization of parameterized block triangular preconditioners for generalized saddle point problems ⋮ A modified generalized shift-splitting method for nonsymmetric saddle point problems ⋮ Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell's equations ⋮ Two block triangular preconditioners for asymmetric saddle point problems ⋮ On the generalized shift-splitting preconditioner for saddle point problems ⋮ An analytical method as a preconditioning modeling for systems of linear equations ⋮ Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems ⋮ Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator ⋮ Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD ⋮ A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations

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