Interior penalty DG methods for Maxwell's equations in dispersive media

被引：42
|
作者：
Huang, Yunqing [2 ]
Li, Jichun [1 ]
Yang, Wei [2 ]
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 12期
基金：
美国国家科学基金会;
关键词：
Discontinuous Galerkin method; Maxwell's equations; Dispersive media; DISCONTINUOUS GALERKIN METHOD; FINITE-ELEMENT;
D O I：
10.1016/j.jcp.2011.02.031
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we develop a fully-discrete interior penalty discontinuous Galerkin method for solving the time-dependent Maxwell's equations in dispersive media. The model is described by a vector integral-differential equation. Our scheme is proved to be unconditionally stable and achieve optimal error estimates in both L-2 norm and energy norm. The scheme is implemented and numerical results supporting our analysis are presented. (C) 2011 Elsevier Inc. All rights reserved.
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页码：4559 / 4570
页数：12
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