Year: 2007
Author: Gary Cohen, Marc Duruflé
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 282–304
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8693
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 282–304
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Maxwell's equations Discontinuous Galerkin methods Edge elements Mass lumping.