SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS

doi:10.1137/20M1368537

CSpace

	SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS
	Chen, Chuchu 1,2
	2021
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	59 期号:4 页码:2197-2217
摘要	This paper proposes a fully discrete method called the symplectic discontinuous Galerkin (dG) full discretization for stochastic Maxwell equations driven by additive noises, based on a stochastic symplectic method in time and a dG method with the upwind fluxes in space. A priori H-k-regularity (k is an element of {1, 2}) estimates for the solution of stochastic Maxwell equations are presented, which have not been reported before to the best of our knowledge. These H-k-regularities are vital to making the assumptions of the mean-square convergence analysis on the initial fields, the noise, and the medium coefficients, but not on the solution itself. The convergence order of the symplectic dG full discretization is shown to be k/2 in the temporal direction and k-1/2 in the spatial direction. Meanwhile we reveal the small noise asymptotic behaviors of the exact and numerical solutions via the large deviation principle, and show that the fully discrete method preserves the divergence relations in a weak sense.
关键词	stochastic Maxwell equations symplectic dG full discretization mean-square convergence
DOI	10.1137/20M1368537
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871068] ; National Natural Science Foundation of China[12022118] ; National Natural Science Foundation of China[11971470] ; National Natural Science Foundation of China[12031020] ; National Natural Science Foundation of China[12026428] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000692318700014
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59273
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Chuchu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chuchu. SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(4):2197-2217.
APA	Chen, Chuchu.(2021).SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(4),2197-2217.
MLA	Chen, Chuchu."SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.4(2021):2197-2217.