SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR MAXWELL EQUATIONS IN DISPERSIVE MEDIA

被引：0
作者：
汪波 [1 ]
谢资清 [1 ]
张智民 [2 ,3 ]
机构：
[1] College of Mathematics and Computer Science, and Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University
[2] Beijing Computational Science Research Center
[3] Department of Mathematics, Wayne State University
来源：
ActaMathematicaScientia | 2014年 / 34卷 / 05期
基金：
美国国家科学基金会;
关键词：
Maxwell equations; dispersive media; space-time DG method; L2-stability; L2-error estimate;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper, a unified model for time-dependent Maxwell equations in dispersive media is considered. The space-time DG method developed in [29] is applied to solve the underlying problem. Unconditional L2-stability and error estimate of order O τr+1+ hk+1/2 are obtained when polynomials of degree at most r and k are used for the temporal discretization and spatial discretization respectively. 2-D and 3-D numerical examples are given to validate the theoretical results. Moreover, numerical results show an ultra-convergence of order 2r + 1 in temporal variable t.
引用
收藏
页码：1357 / 1376
页数：20
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