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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2006

Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system

Résumé

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.
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Dates et versions

hal-00768645 , version 1 (22-12-2012)

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Emmanuel Creusé, Serge Nicaise. Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system. ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (2), pp.413-430. ⟨10.1051/m2an:2006017⟩. ⟨hal-00768645⟩
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