STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE

doi:10.1137/20M1382131

CSpace

	STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE
	Cui, Jianbo 1,2; Hong, Jialin 3,4; Sun, Liying 3,4
	2021
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	59 期号:6 页码:2866-2899
摘要	In this article, we consider the stochastic Cahn-Hilliard equation driven by additive noise. We discretize the equation by exploiting the spectral Galerkin method in space and a temporal accelerated implicit Euler method. Based on optimal regularity estimates of both exact and numerical solutions, we prove that the proposed numerical method is strongly convergent with a sharp convergence rate in a negative Sobolev space. Utilizing the semigroup theory and interpolation inequality, we deduce the spatial optimal convergence rate and the temporal superconvergence rate of the proposed numerical method in the strong sense.
关键词	stochastic Cahn-Hilliard equation spectral Galerkin method accelarated implicit Euler method strong convergence rate
DOI	10.1137/20M1382131
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971470] ; National Natural Science Foundation of China[11871068] ; National Natural Science Foundation of China[12031020] ; National Natural Science Foundation of China[12022118] ; Hong Kong Polytechnic University ; CAS AMSSPolyU Joint Laboratory of Applied Mathematics
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000748784400004
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/59909
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Liying
作者单位	1.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA 2.Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100049, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cui, Jianbo,Hong, Jialin,Sun, Liying. STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(6):2866-2899.
APA	Cui, Jianbo,Hong, Jialin,&Sun, Liying.(2021).STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(6),2866-2899.
MLA	Cui, Jianbo,et al."STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.6(2021):2866-2899.