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A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics

✍ Scribed by Hassan Fahs; Stéphane Lanteri

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
748 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

method Explicit time integration Non-conforming meshes a b s t r a c t

In this paper, we discuss the formulation, stability and validation of a high-order nondissipative discontinuous Galerkin (DG) method for solving Maxwell's equations on nonconforming simplex meshes. The proposed method combines a centered approximation for the numerical fluxes at inter element boundaries, with either a second-order or a fourthorder leap-frog time integration scheme. Moreover, the interpolation degree is defined at the element level and the mesh is refined locally in a non-conforming way resulting in arbitrary-level hanging nodes. The method is proved to be stable and conserves a discrete counterpart of the electromagnetic energy for metallic cavities. Numerical experiments with high-order elements show the potential of the method.

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