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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods

Victorita Dolean 1 Stephane Lanteri 2 Ronan Perrussel 3
2 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We present here a domain decomposition method for solving the three-dimen\-sional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method. In order to allow the treatment of irregularly shaped geometries, the discontinuous Galerkin method is formulated on unstructured tetrahedral meshes. The domain decomposition strategy takes the form of a Schwarz-type algorithm where a first-order absorbing condition is imposed at the interfaces between neighboring subdomains. A multifrontal sparse direct solver is used at the subdomain level. The resulting domain decomposition strategy can be viewed as a hybrid iterative/direct solution method for the large, sparse and complex coefficients algebraic system resulting from the discretization of the time-harmonic Maxwell equations by a discontinuous Galerkin method.
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https://hal.inria.fr/inria-00155231
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Submitted on : Tuesday, June 19, 2007 - 10:56:40 AM
Last modification on : Thursday, January 20, 2022 - 4:13:22 PM
Long-term archiving on: : Thursday, September 23, 2010 - 4:27:20 PM

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Victorita Dolean, Stephane Lanteri, Ronan Perrussel. A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. Journal of Computational Physics, Elsevier, 2008, 227 (3), pp.2044-2072. ⟨10.1016/j.jcp.2007.10.004⟩. ⟨inria-00155231v3⟩

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