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Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations
Gao, Liping2; Zhang, Bo1; Liang, Dong3
2008-08-01
发表期刊COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
卷号4期号:2页码:405-432
摘要In this paper, we study splitting numerical methods for the three-dimensional Maxwell equations in the time domain. We propose a new kind of splitting finite-difference time-domain schemes on a staggered grid, which consists of only two stages for each time step. It is proved by the energy method that the splitting scheme is unconditionally stable and convergent for problems with perfectly conducting boundary conditions. Both numerical dispersion analysis and numerical experiments are also presented to illustrate the efficiency of the proposed schemes.
关键词splitting scheme alternating direction implicit method finite-difference time-domain method stability convergence Maxwell's equations perfectly conducting boundary
语种英语
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000258445800009
出版者GLOBAL SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/6370
专题应用数学研究所
通讯作者Zhang, Bo
作者单位1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
2.Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
3.York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada
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GB/T 7714
Gao, Liping,Zhang, Bo,Liang, Dong. Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2008,4(2):405-432.
APA Gao, Liping,Zhang, Bo,&Liang, Dong.(2008).Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,4(2),405-432.
MLA Gao, Liping,et al."Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 4.2(2008):405-432.
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