An energy-conserving method for stochastic Maxwell equations with multiplicative noise

doi:10.1016/j.jcp.2017.09.030

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	An energy-conserving method for stochastic Maxwell equations with multiplicative noise
	Hong, Jialin1 ; Ji, Lihai 2; Zhang, Liying 3; Cai, Jiaxiang 4
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2017-12-15
卷号	351 页码:216-229
关键词	Energy-conserving method Three-dimensional stochastic Maxwell equations Multiplicative noise Geometric structure
ISSN号	0021-9991
DOI	10.1016/j.jcp.2017.09.030
英文摘要	In this paper, it is shown that three-dimensional stochastic Maxwell equations with multiplicative noise are stochastic Hamiltonian partial differential equations possessing a geometric structure (i.e. stochastic multi-symplectic conservation law), and the energy of system is a conservative quantity almost surely. We propose a stochastic multi-symplectic energy-conserving method for the equations by using the wavelet collocation method in space and stochastic symplectic method in time. Numerical experiments are performed to verify the excellent abilities of the proposed method in providing accurate solution and preserving energy. The mean square convergence result of the method in temporal direction is tested numerically, and numerical comparisons with finite difference method are also investigated. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	NNSFC[91130003] ; NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[91630312] ; NNSFC[11471310] ; NNSFC[11601032] ; NNSFC[11601514] ; NNSFC[11626228] ; foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems[201606]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000415304900012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26813]
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Liying
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.China Univ Min & Technol, Sch Math Sci, Beijing 100083, Peoples R China 4.Huaiyin Normal Univ, Sch Math Sci, Huaian 210046, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Ji, Lihai,Zhang, Liying,et al. An energy-conserving method for stochastic Maxwell equations with multiplicative noise[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,351:216-229.
APA	Hong, Jialin,Ji, Lihai,Zhang, Liying,&Cai, Jiaxiang.(2017).An energy-conserving method for stochastic Maxwell equations with multiplicative noise.JOURNAL OF COMPUTATIONAL PHYSICS,351,216-229.
MLA	Hong, Jialin,et al."An energy-conserving method for stochastic Maxwell equations with multiplicative noise".JOURNAL OF COMPUTATIONAL PHYSICS 351(2017):216-229.