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

被引：44

作者：

Fahs, Hassan ^{[1
]}

Lanteri, Stephane ^{[1
]}

机构：

[1] INRIA, F-06902 Sophia Antipolis, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 04期

关键词：

Computational electromagnetism; Time-domain Maxwell's equations; Discontinuous Galerkin method; Explicit time integration; Non-conforming meshes; MAXWELLS EQUATIONS; WAVE-PROPAGATION; MESHES;

D O I：

10.1016/j.cam.2009.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1088 / 1096

页数：9

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[11] On the constants in hp-finite element trace inverse inequalities [J].