Optimized Schwarz methods for Maxwell's equations with non-zero electric conductivity

Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, Stéphane Lanteri

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

7 Citations (Scopus)

Abstract

The study of optimized Schwarz methods for Maxwell's equations started with the Helmholtz equation, see [2-4, 11]. For the rot-rot formulation of Maxwell's equations, optimized Schwarz methods were developed in [1], and for the more general form in [9, 10]. An entire hierarchy of families of optimized Schwarz methods was analyzed in [8], see also [5] for discontinuous Galerkin discretizations and large scale experiments. We present in this paper a first analysis of optimized Schwarz methods for Maxwell's equations with non-zero electric conductivity. This is an important case for real applications, and requires a new, and fundamentally different optimization of the transmission conditions. We illustrate our analysis with numerical experiments.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XIX
EditorsYunqing Huang, Ralf Kornhuber, Olof Widlund, Jinchao Xu
Place of PublicationLondon
PublisherSpringer
Pages269-276
Number of pages8
ISBN (Print)9783642113031
DOIs
Publication statusPublished - 29 Oct 2010
Event19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China
Duration: 17 Aug 200922 Aug 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume78
ISSN (Print)1439-7358

Conference

Conference19th International Conference on Domain Decomposition, DD19
CountryChina
CityZhanjiajie
Period17/08/0922/08/09

Keywords

  • discontinuous Galerkin
  • discontinuous Galerkin method
  • domain decomposition method
  • convergence factor
  • applied current density

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