Splitting multisymplectic integrators for Maxwell's equations

doi:10.1016/j.jcp.2010.02.010

	Splitting multisymplectic integrators for Maxwell's equations
	Kong, Linghua 1; Hong, Jialin2 ; Zhang, Jingjing 2
	2010-06-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	229 期号:11 页码:4259-4278
摘要	In the paper, we describe a novel kind of multisymplectic method for three-dimensional (3-D) Maxwell's equations. Splitting the 3-D Maxwell's equations into three local one-dimensional (LOD) equations, then applying a pair of symplectic Runge-Kutta methods to discretize each resulting LOD equation, it leads to splitting multisymplectic integrators. We say this kind of schemes to be LOD multisymplectic scheme (LOD-MS). The discrete conservation laws, convergence, dispersive relation, dissipation and stability are investigated for the schemes. Theoretical analysis shows that the schemes are unconditionally stable, non-dissipative, and of first order accuracy in time and second order accuracy in space. As a reduction, we also consider the application of LOD-MS to 2-D Maxwell's equations. Numerical experiments match the theoretical results well. They illustrate that LOD-MS is not only efficient and simple in coding, but also has almost all the nature of multisymplectic integrators. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Maxwell's equation Local one-dimensional method Multisymplectic integrator Runge-Kutta method Conservation law
DOI	10.1016/j.jcp.2010.02.010
语种	英语
资助项目	Natural Science Foundation of China[10901074] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of Department of Education Jiangxi Province[GJJ09147] ; Foundation of Jiangxi Normal University[2057] ; Foundation of Jiangxi Normal University[2390] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Provincial Natural Science Foundation of Anhui[090416227] ; Director Innovation Foundation of ICMSEC ; Director Innovation Foundation of AMSS ; Foundation of CAS ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Special Funds for Major State Basic Research Projects of China[2005CB321701]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000276922100014
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10602
专题	计算数学与科学工程计算研究所
通讯作者	Kong, Linghua
作者单位	1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Kong, Linghua,Hong, Jialin,Zhang, Jingjing. Splitting multisymplectic integrators for Maxwell's equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2010,229(11):4259-4278.
APA	Kong, Linghua,Hong, Jialin,&Zhang, Jingjing.(2010).Splitting multisymplectic integrators for Maxwell's equations.JOURNAL OF COMPUTATIONAL PHYSICS,229(11),4259-4278.
MLA	Kong, Linghua,et al."Splitting multisymplectic integrators for Maxwell's equations".JOURNAL OF COMPUTATIONAL PHYSICS 229.11(2010):4259-4278.