Unified Analysis of Leap-Frog Methods for Solving Time-Domain Maxwell’s Equations in Dispersive Media

被引：0
|
作者：
Jichun Li
机构：
[1] Xiangtan University,Hunan Key Laboratory for Computation and Simulation in Science and Engineering
[2] University of Nevada Las Vegas,Department of Mathematical Sciences
来源：
Journal of Scientific Computing | 2011年 / 47卷
关键词：
Maxwell’s equations; Dispersive media; Leap-frog scheme;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the time dependent Maxwell’s equations resulting from dispersive medium models. First, the stability and Gauss’s law are proved for all three most popular dispersive medium models: the isotropic cold plasma, the one-pole Debye medium and the two-pole Lorentz medium. Then leap-frog mixed finite element methods are developed for these three models. Optimal error estimates are proved for all three models solved by the lowest-order Raviart-Thomas-Nédélec spaces. Extensions to multiple pole dispersive media are presented also. Numerical results confirming the analysis are presented.
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页码：1 / 26
页数：25
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