A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations

被引：11
|
作者：
Chung, Eric T. [2 ]
Yuen, Man Chun [2 ]
Zhong, Liuqiang [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 237卷
基金：
中国国家自然科学基金;
关键词：
A posteriori error analysis; Staggered discontinuous Galerkin; Edge finite element; Time-harmonic Maxwell equations; INTERIOR PENALTY METHOD; CONVERGENCE ANALYSIS; WAVE-PROPAGATION; SINGULARITIES; ALGORITHM;
D O I：
10.1016/j.amc.2014.03.134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present the first a-posteriori error analysis for the staggered discontinuous Galerkin (SDG) method. Specifically, we consider the approximation of the time-harmonic Maxwell's equations by a SDG method, and prove that our residual based a-posteriori error indicator is both reliable and efficient. We validate the performance of the indicator within an adaptive mesh refinement procedure and show its asymptotic exactness for a range of test problems. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：613 / 631
页数：19
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