Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

被引：0
|
作者：
Li, Jichun [1 ,2 ]
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Univ Calif Los Angeles, Inst Pure & Appl Math, Los Angeles, CA 90095 USA
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2009年 / 1卷 / 01期
基金：
美国国家科学基金会;
关键词：
Posteriori error estimator; Maxwell's equations; cold plasma; discontinuous Galerkin method; FINITE-ELEMENT-METHOD;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a residual-based a posteriori error estimator for the time-dependent Maxwell's equations in the cold plasma. Here we consider a semi-discrete interior penalty discontinuous Galerkin (DG) method for solving the governing equations. We provide both the upper bound and lower bound analysis for the error estimator. This is the first posteriori error analysis carried out for the Maxwell's equations in dispersive media.
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页码：107 / 124
页数：18
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