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

文献类型：期刊论文

作者Cui, Jianbo1,2; Hong, Jialin3,4; Sun, Liying3,4
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2021
卷号59期号:6页码:2866-2899
关键词stochastic Cahn-Hilliard equation spectral Galerkin method accelarated implicit Euler method strong convergence rate
ISSN号0036-1429
DOI10.1137/20M1382131
英文摘要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.
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
语种英语
WOS记录号WOS:000748784400004
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59908]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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