A new mixed discontinuous Galerkin method for the electrostatic field

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作者
Abdelhamid Zaghdani
Mohamed Ezzat
机构
[1] Faculty of Arts and Science,Northern Border University
[2] University of Tunis,Department of Mathematics
[3] Ensit,Department of Mathematics, Faculty of Science
[4] Fayoum University,undefined
关键词
Boundary value problems; Maxwell’s equations; Discontinuous Galerkin formulation; A priori error estimate;
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摘要
We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size. Some numerical results are given to confirm the theoretical convergence.
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