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.

LanguageEnglish
Article number4526850
Pages954-957
Number of pages4
JournalIEEE Transactions on Magnetics
Volume44
Issue number6
Early online date20 May 2008
DOIs
Publication statusPublished - 30 Jun 2008

Fingerprint

Discontinuous Galerkin Method
Maxwell equations
Galerkin methods
Maxwell's equations
Harmonic
Decomposition
Convergence of Algorithms
Schwarz Methods
Maxwell System
Geometry
Discontinuous Galerkin
High-order Methods
Computer simulation
Domain Decomposition
Numerical Solution
First-order
Numerical Simulation
Three-dimensional
Formulation
Strategy

Keywords

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

Cite this

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Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method. / Dolean, Victorita; Lanteri, Stéphane; Perrussel, Ronan.

In: IEEE Transactions on Magnetics, Vol. 44, No. 6, 4526850, 30.06.2008, p. 954-957.

Research output: Contribution to journalArticle

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