Non-Spurious Spectral Like Element Methods for Maxwell's equations

Gary Cohen 1 Marc Durufle 2, 3
2 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 paper, we give the state of the art for the so called "mixed spectral elements" for Maxwell's equations. Several families of elements, such as edge elements and discontinuous Galerkin methods (DGM) are presented and discussed. In particular, we show the need of introducing some numerical dissipation terms to avoid spurious modes in these methods. Such terms are classical for DGM but their use for edge element methods is a novel approach described in this paper. Finally, numerical experiments show the fast and low-cost character of these elements.
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Gary Cohen, Marc Durufle. Non-Spurious Spectral Like Element Methods for Maxwell's equations. Journal of Computational Mathematics -International Edition-, Global Science Press, 2007, pp.282-304. ⟨hal-00385458⟩

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