Symplectic discretization for spectral element solution of Maxwell's equations

doi:10.1088/1751-8113/42/32/325203

	Symplectic discretization for spectral element solution of Maxwell's equations
	Zhao, Yanmin 1,2; Dai, Guidong 1,2; Tang, Yifa1 ; Liu, Qinghuo 3
	2009-08-14
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	42 期号:32 页码:12
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.
DOI	10.1088/1751-8113/42/32/325203
语种	英语
资助项目	Chinese Academy of Science 'Supercomputing Environment Construction and Application'[INF105-SCE] ; National Natural Science Foundation of China[10471145] ; National Natural Science Foundation of China[10672143] ; National Natural Science Foundation of China[10872037] ; Morningside Center of Mathematics, Chinese Academy of Sciences
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000268342600010
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8889
专题	计算数学与科学工程计算研究所
通讯作者	Zhao, Yanmin
作者单位	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
推荐引用方式 GB/T 7714	Zhao, Yanmin,Dai, Guidong,Tang, Yifa,et al. Symplectic discretization for spectral element solution of Maxwell's equations[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(32):12.
APA	Zhao, Yanmin,Dai, Guidong,Tang, Yifa,&Liu, Qinghuo.(2009).Symplectic discretization for spectral element solution of Maxwell's equations.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(32),12.
MLA	Zhao, Yanmin,et al."Symplectic discretization for spectral element solution of Maxwell's equations".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.32(2009):12.