High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations

被引：10

作者：

El Bouajaji, Mohamed ^{[1
]}

Lanteri, Stephane ^{[1
]}

机构：

[1] INRIA Sophia Antipolis Mediterranee Res Ctr, NACHOS Project Team, F-06902 Sophia Antipolis, France

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 13期

关键词：

Computational electromagnetics; Time-harmonic Maxwell's equations; Discontinuous Galerkin method; APPROXIMATION; CONVERGENCE;

D O I：

10.1016/j.amc.2011.03.140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is concerned with the numerical solution of 2D electromagnetic wave propagation problems in the frequency domain. We present a high order discontinuous Galerkin method formulated on unstructured triangular meshes for the solution of the system of the time-harmonic Maxwell equations in mixed form. Within each triangle, the approximation of the electromagnetic field relies on a nodal polynomial interpolation and the polynomial degree is allowed to vary across mesh elements. The resulting numerical methodology is applied to the simulation of 2D propagation problems in homogeneous and heterogeneous media as well. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：7241 / 7251

页数：11

共 20 条

[1]

Amestoy P., 2000, COMPUT METHODS APP M, V184

[2]

[Anonymous], 1961, TIME HARMONIC ELECTR

[3] Discontinuous Galerkin approximation of the Maxwell eigenproblem [J].