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Discontinuous Galerkin methods for Maxwell's equations in the time domain

Gary Cohen 1 Xavier Ferrieres Sébastien Pernet 1 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In this article, we describe a new high-order Discontinuous Galerkin approach to Maxwell's equations in the time domain. This approach is based on hexahedral meshes and uses a mass-lumping technique. Thanks to the orthogonality of the basis functions and a judicious choice of the approximation spaces, it provides an efficient solver for these equations in terms of storage and CPU time.
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Submitted on : Thursday, April 10, 2014 - 5:26:23 PM
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Gary Cohen, Xavier Ferrieres, Sébastien Pernet. Discontinuous Galerkin methods for Maxwell's equations in the time domain. Comptes Rendus. Physique, Académie des sciences (Paris), 2006, 7, pp.494-500. ⟨10.1016/j.crhy.2006.03.004⟩. ⟨hal-00977104⟩

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