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

[摘要] In this paper, we discuss the formulation, stability and validation of a high-order non-dissipative discontinuous Galerkin (DG) method for solving Maxwell's equations on non-conforming simplex meshes. The proposed method combines a centered approximation for the numerical fluxes at inter element boundaries, with either a second-order or a fourth-order 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. (C) 2009 Elsevier B.V. All rights reserved.

[发布日期] 2010-06-15

[效力级别]  Proceedings Paper

[关键词] Computational electromagnetism;Time-domain Maxwell's equations;Discontinuous Galerkin method;Explicit time integration;Non-conforming meshes