Symplectic discretization for spectral element solution of Maxwell's equations

被引：3

作者：

Zhao, Yanmin ^{[1
,2
]}

Dai, Guidong ^{[1
,2
]}

Tang, Yifa ^{[1
]}

Liu, Qinghuo ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China

[3] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 32期

基金：

中国国家自然科学基金;

关键词：

TIME-DOMAIN;

D O I：

10.1088/1751-8113/42/32/325203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Applying the spectral element method (SEM) based on the Gauss-Lobatto-Legendre (GLL) polynomial to discretize Maxwell's equations, we obtain a Poisson system or a Poisson system with at most a perturbation. For the system, we prove that any symplectic partitioned Runge-Kutta (PRK) method preserves the Poisson structure and its implied symplectic structure. Numerical examples show the high accuracy of SEM and the benefit of conserving energy due to the use of symplectic methods.

引用

页数：12

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