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High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

Published online by Cambridge University Press:  20 August 2015

Sébastien Jund,
Stéphanie Salmon and
Eric Sonnendrücker
Sébastien Jund
Affiliation:
IRMA, UMR 7501 Université de Strasbourg and CNRS, and CALVI project-team, INRIA Nancy Grand Est, 7 rue René Descartes, F-67084 STRASBOURG Cedex
Stéphanie Salmon*
Affiliation:
Laboratoire de Mathématiques EA 4535, Université de Reims, U.F.R. Sciences Exactes et Naturelles, Moulin de la Housse – BP 1039, F-51687 REIMS cedex 2
Eric Sonnendrücker*
Affiliation:
IRMA, UMR 7501 Université de Strasbourg and CNRS, and CALVI project-team, INRIA Nancy Grand Est, 7 rue René Descartes, F-67084 STRASBOURG Cedex
*
Email:stephanie.salmon@univ-reims.fr
Corresponding author.Email:sonnen@math.unistra.fr
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Abstract

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

Keywords

65M60Maxwell’s equationsedge finite element methodmass lumpingtime discretization schemes

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Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 3 , March 2012, pp. 863 - 892
Copyright
Copyright © Global Science Press Limited 2012

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