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Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system
Published online by Cambridge University Press: 21 June 2006
Abstract
In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's systemon quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtainedand the convergence of the discrete eigenvalues to the continuous ones is deducedusing the theory of collectively compact operators.Some numerical experiments confirm the theoretical predictions.
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 40 , Issue 2 , March 2006 , pp. 413 - 430
- Copyright
- © EDP Sciences, SMAI, 2006
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