A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations

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

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIV
EditorsPetter E. Bjørstad, Susanne C. Brenner, Lawrence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, Olof B. Widlund
Place of PublicationCham
PublisherSpringer-Verlag
Pages149-157
Number of pages9
Volume125
ISBN (Electronic)9783319938738
ISBN (Print)9783319938721
DOIs
Publication statusPublished - 5 Jan 2019
Event24th International Conference on Domain Decomposition Methods in Science and Engineering 2017 - Longyearbyen, Svalbard, Norway
Duration: 6 Feb 201710 Feb 2017

Publication series

NameLecture Notes in Computational Science and Engineering
Volume125
ISSN (Print)1439-7358

Conference

Conference24th International Conference on Domain Decomposition Methods in Science and Engineering 2017
CountryNorway
CityLongyearbyen, Svalbard
Period6/02/1710/02/17

Keywords

  • fast iterative solvers
  • indefinite time-harmonic Maxwell’s system
  • Helmholtz equation
  • domain decomposition methods
  • iterative solvers

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