| Title | The Operator-Splitting Method for Cahn-Hilliard is Stable |
| Author | |
| Corresponding Author | Li, Dong |
| Publication Years | 2022-01
|
| DOI | |
| Source Title | |
| ISSN | 0885-7474
|
| EISSN | 1573-7691
|
| Volume | 90Issue:1 |
| Abstract | We prove energy stability of a standard operator-splitting method for the Cahn-Hilliard equation. We establish uniform bound of Sobolev norms of the numerical solution and convergence of the splitting approximation. This is the first energy stability result for the operator-splitting method for the Cahn-Hilliard equation. Our analysis can be extended to many other models.
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Accession No | WOS:000734029300001
|
| Publisher | |
| EI Accession Number | 20215211393938
|
| ESI Research Field | MATHEMATICS
|
| Data Source | EV Compendex
|
| Citation statistics |
Cited Times [WOS]:2
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/395800 |
| Department | Department of Mathematics 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| Affiliation | 1.Department of Mathematics, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen; 518055, China 2.SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China |
| First Author Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| Corresponding Author Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| First Author's First Affilication | Department of Mathematics; SUSTech International Center for Mathematics |
| Recommended Citation GB/T 7714 |
Li, Dong,Quan, Chaoyu. The Operator-Splitting Method for Cahn-Hilliard is Stable[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,90(1).
|
| APA |
Li, Dong,&Quan, Chaoyu.(2022).The Operator-Splitting Method for Cahn-Hilliard is Stable.JOURNAL OF SCIENTIFIC COMPUTING,90(1).
|
| MLA |
Li, Dong,et al."The Operator-Splitting Method for Cahn-Hilliard is Stable".JOURNAL OF SCIENTIFIC COMPUTING 90.1(2022).
|
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 10.1007@s10915-021-0（164KB） | Restricted Access | -- | ||||
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