The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions

doi:10.1016/j.cam.2006.04.051

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	The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions
	Gao, Liping ; Zhang, Bo; Liang, Dong
	2007-08-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	205 期号:1 页码:207-230
摘要	In this paper, we consider splitting methods for Maxwell's equations in two dimensions. A new kind of splitting finite-difference time-domain methods on a staggered grid is developed. The corresponding schemes consist of only two stages for each time step, which are very simple in computation. The rigorous analysis of the schemes is given. By the energy method, it is proved that the scheme is unconditionally stable and convergent for the problems with perfectly conducting boundary conditions. Numerical dispersion analysis and numerical experiments are presented to show the efficient performance of the proposed methods. Furthermore, the methods are also applied to solve a scattering problem successfully. (C) 2006 Elsevier B.V. All rights reserved.
关键词	Maxwell's equations splitting scheme finite-difference time-domain staggered grid stability convergence perfectly conducting scattering perfectly matched layer
DOI	10.1016/j.cam.2006.04.051
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000246994600015
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4950
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Coventry Univ, Fac Engn & Comp, Dept Math Sci, Coventry CV1 5FB, W Midlands, England 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada
推荐引用方式 GB/T 7714	Gao, Liping,Zhang, Bo,Liang, Dong. The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2007,205(1):207-230.
APA	Gao, Liping,Zhang, Bo,&Liang, Dong.(2007).The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,205(1),207-230.
MLA	Gao, Liping,et al."The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 205.1(2007):207-230.