Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

被引:21
|
作者
Huang, Yunqing [2 ]
Li, Jichun [1 ]
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
基金
美国国家科学基金会;
关键词
Maxwell's equations; Cold plasma; Discontinuous Galerkin method; FINITE-ELEMENT-METHOD; DOUBLE-NEGATIVE METAMATERIALS; DISPERSIVE MEDIA; WAVE-PROPAGATION; COMPUTATION; MESHES;
D O I
10.1007/s10915-009-9300-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we develop an interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell's equations in cold plasma. Both semi and fully discrete DG schemes are constructed, and optimal error estimates in the energy norm are proved. To our best knowledge, this is the first error analysis carried out for the DG method for Maxwell's equations in dispersive media.
引用
收藏
页码:321 / 340
页数:20
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