Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system
ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 2, pp. 413-430.

In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.

DOI : 10.1051/m2an:2006017
Classification : 65N25, 65N30
Mots clés : DG method, Maxwell's system, discrete compactness, eigenvalue approximation
Creusé, Emmanuel  ; Nicaise, Serge 1

1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise
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Creusé, Emmanuel; Nicaise, Serge. Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system. ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 2, pp. 413-430. doi : 10.1051/m2an:2006017. http://www.numdam.org/articles/10.1051/m2an:2006017/

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