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.

引用

页码：1 / 26

页数：25

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