Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

Victorita Dolean, Stéphane Lanteri, Ronan Perrussel

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The numerical solution of the three-dimensional time-harmonic Maxwell equations using high order methods such as discontinuous Galerkin formulations require efficient solvers. A domain decomposition strategy is introduced for this purpose. This strategy is based on optimized Schwarz methods applied to the first order form of the Maxwell system and leads to the best possible convergence of these algorithms. The principles are explained for a 2D model problem and numerical simulations confirm the predicted theoretical behavior. The efficiency is further demonstrated on more realistic 3D geometries including a bioelectromagnetism application.

Original languageEnglish
Article number4526850
Pages (from-to)954-957
Number of pages4
JournalIEEE Transactions on Magnetics
Volume44
Issue number6
Early online date20 May 2008
DOIs
Publication statusPublished - 30 Jun 2008

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Keywords

  • discontinuous Galerkin methods
  • domain decomposition methods
  • optimized interface conditions

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