Parallel numerical solution of the time‐harmonic Maxwell equations in mixed form

DOI10.1002/nla.782zbMath1274.78091OpenAlexW1992234740MaRDI QIDQ4922264

Chen Greif, Dan Li, Dominik Schötzau

Publication date: 29 May 2013

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.782

zbMATH Keywords

numerical resultspreconditionertime-harmonic Maxwell equationsparallel iterative solverNedelec edge elementslinear saddle-point system

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

Related Items

Preconditioners for Mixed Finite Element Discretizations of Incompressible MHD Equations, New preconditioners with two variable relaxation parameters for the discretized time-harmonic Maxwell equations in mixed form, Preconditioners and their analyses for edge element saddle-point systems arising from time-harmonic Maxwell's equations, A coercive mixed formulation for the generalized Maxwell problem, Conjugate gradient for nonsingular saddle-point systems with a maximally rank-deficient leading block, Modified block preconditioner for generalized saddle point matrices with highly singular(1,1) blocks, A Scalable Approximate Inverse Block Preconditioner for an Incompressible Magnetohydrodynamics Model Problem, Null-Space Preconditioners for Saddle Point Systems, A NOTE ON BLOCK PRECONDITIONER FOR GENERALIZED SADDLE POINT MATRICES WITH HIGHLY SINGULAR (1, 1) BLOCK

Uses Software

• BoomerAMG
• PETSc

Cites Work

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