A hp-discontinuous Galerkin method for the time-dependent Maxwell’s equation: a priori error estimate |
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| Authors: | C Daveau A Zaghdani |
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| Institution: | 1. CNRS, UMR 8088, Département de Mathématiques, Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise cedex, France
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| Abstract: | A discontinuous Galerkin method for the numerical approximation for the time-dependent Maxwell’s equations in “stable medium” with supraconductive boundary, is introduced and analysed. its hp-analysis is carried out and error estimates that are optimal in the meshsize h and slightly suboptimal in the approximation degree p are obtained. |
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