KMS Of Academy of mathematics and systems sciences, CAS
| STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE | |
| Cui, Jianbo1,2; Hong, Jialin3,4; Sun, Liying3,4 | |
| 2021 | |
| Source Publication | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| ISSN | 0036-1429 |
| Volume | 59Issue:6Pages:2866-2899 |
| Abstract | 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. |
| Keyword | stochastic Cahn-Hilliard equation spectral Galerkin method accelarated implicit Euler method strong convergence rate |
| DOI | 10.1137/20M1382131 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000748784400004 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59909 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Sun, Liying |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment