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- Publisher Website: 10.1007/s10915-021-01740-4
- Scopus: eid_2-s2.0-85121734516
- WOS: WOS:000734029300001
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Article: The Operator-Splitting Method for Cahn-Hilliard is Stable
| Title | The Operator-Splitting Method for Cahn-Hilliard is Stable |
|---|---|
| Authors | |
| Keywords | Cahn-Hilliard equation Operator splitting stability analysis |
| Issue Date | 2022 |
| Citation | Journal of Scientific Computing, 2022, v. 90, n. 1, article no. 62 How to Cite? |
| 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. |
| Persistent Identifier | http://hdl.handle.net/10722/327377 |
| ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 1.248 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Quan, Chaoyu | - |
| dc.date.accessioned | 2023-03-31T05:30:53Z | - |
| dc.date.available | 2023-03-31T05:30:53Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Journal of Scientific Computing, 2022, v. 90, n. 1, article no. 62 | - |
| dc.identifier.issn | 0885-7474 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/327377 | - |
| dc.description.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. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal of Scientific Computing | - |
| dc.subject | Cahn-Hilliard equation | - |
| dc.subject | Operator splitting | - |
| dc.subject | stability analysis | - |
| dc.title | The Operator-Splitting Method for Cahn-Hilliard is Stable | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s10915-021-01740-4 | - |
| dc.identifier.scopus | eid_2-s2.0-85121734516 | - |
| dc.identifier.volume | 90 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | article no. 62 | - |
| dc.identifier.epage | article no. 62 | - |
| dc.identifier.eissn | 1573-7691 | - |
| dc.identifier.isi | WOS:000734029300001 | - |