Preliminary investigation of a nonconforming discontinuous Galerkin method for solving the time-domain Maxwell equations

被引：10

作者：

Fahs, Hassan ^{[1
]}

Fezoui, Loula ^{[1
]}

Lanteri, Stephane ^{[1
]}

Rapetti, Francesca ^{[2
]}

机构：

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

[2] Nice Sophia Antipolis Univ, JA Dieudonne Math Lab, UMR CNRS 6621, F-06108 Nice, France

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2008年 / 44卷 / 06期

关键词：

discontinuous Galerkin method; Maxwell's equations; nonconforming triangular meshes;

D O I：

10.1109/TMAG.2007.916577

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper is concerned with the design of a high-order discontinuous Galerkin (DG) method for solving the 2-D time-domain Maxwell equations on nonconforming triangular meshes. The proposed DG method allows for using nonconforming meshes with arbitrary-level hanging nodes. This method combines a centered approximation for the evaluation of fluxes at the interface between neighboring elements of the mesh, with a leap-frog time integration scheme. Numerical experiments are presented which both validate the theoretical results and provide further insights regarding to the practical performance of the proposed DG method, particulary when nonconforming meshes are employed.

引用

页码：1254 / 1257

页数：4

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