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| HAL: inria-00155231, version 3 |
| DOI: 10.1016/j.jcp.2007.10.004 |
| See detailed view |  BibTeX,EndNote,... |
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| Journal of Computational Physics 227, 3 (2008) 2044-2072 |
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| Available versions | v1 (2007-06-18) | v2 (2007-06-18) | v3 (2007-06-19) |
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| A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods |
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| Victorita Dolean 1Stephane Lanteri 2 |
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| (2008) |
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| 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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| 1: | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS] |
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| 2: | CAIMAN (INRIA Sophia Antipolis) |
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INRIA – CNRS : UMR6621 – Ecole des Ponts ParisTech |
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| 3: | Ampère |
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CNRS : UMR5005 – Université Claude Bernard - Lyon I – Institut National des Sciences Appliquées (INSA) - Lyon – Ecole Centrale de Lyon |
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| Domain | : | Computer Science/Modeling and Simulation |
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| computational electromagnetism – time-harmonic Maxwell's equations – discontinuous Galerkin method – unstructured meshes – domain decomposition method – Schwarz algorithm. |
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| inria-00155231, version 3 | |
| http://hal.inria.fr/inria-00155231 | |
| oai:hal.inria.fr:inria-00155231 | |
| From: Stéphane Lanteri | |
| Submitted on: Tuesday, 19 June 2007 10:56:40 | |
| Updated on: Friday, 4 September 2009 14:20:05 | |
