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

doi:10.1016/j.jcp.2017.09.030

	An energy-conserving method for stochastic Maxwell equations with multiplicative noise
	Hong, Jialin1 ; Ji, Lihai 2; Zhang, Liying 3; Cai, Jiaxiang 4
	2017-12-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	351 页码:216-229
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.
关键词	Energy-conserving method Three-dimensional stochastic Maxwell equations Multiplicative noise Geometric structure
DOI	10.1016/j.jcp.2017.09.030
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000415304900012
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/26814
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.