Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell's equations

被引：14

作者：

Cai, Wenjun ^{[1
]}

Wang, Yushun ^{[1
]}

Song, Yongzhong ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 234卷

基金：

中国国家自然科学基金;

关键词：

Maxwell's equations; Multi-symplectic scheme; Conservation law; Dispersion relation; Group velocity; BACKWARD ERROR ANALYSIS; MULTISYMPLECTIC GEOMETRY; HAMILTONIAN PDES; INTEGRATORS;

D O I：

10.1016/j.jcp.2012.09.043

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we study a multi-symplectic scheme for three dimensional Maxwell's equations in a simple medium. This is a system of PDEs with multi-symplectic structures. We prove that this multi-symplectic scheme preserves the discrete version of local and global energy conservation law and the discrete divergence. Furthermore, we extend the discussion to several dispersion properties of the multi-symplectic scheme including the numerical dispersion relation, the numerical group velocity, the effect of large time steps and the CFL condition. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：330 / 352

页数：23

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