A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations

DOI10.1007/978-3-319-93873-8_12zbMath1443.65417arXiv1705.08138OpenAlexW2619888678MaRDI QIDQ5114532

Pierre-Henri Tournier, Victorita Dolean, Marcella Bonazzoli, Ivan G. Graham, Euan A. Spence

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08138

zbMATH Keywords

GMRESHelmholtz equationpreconditionertime-harmonic Maxwell's equationsedge finite elementstwo-level 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

Related Items (4)

Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption ⋮ On controllability methods for the Helmholtz equation ⋮ Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption ⋮ Parallel controllability methods for the Helmholtz equation

Cites Work

• Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?
• On a class of preconditioners for solving the Helmholtz equation
• Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
• Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
• Recent Results on Domain Decomposition Preconditioning for the High-Frequency Helmholtz Equation Using Absorption

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