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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 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.
- 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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