Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
An unconditionally gradient stable numerical method for solving the Allen-Cahn equation
Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Choi, Jeong-Whan | - |
| dc.contributor.author | Lee, Hyun Geun | - |
| dc.contributor.author | Jeong, Darae | - |
| dc.contributor.author | Kim, Junseok | - |
| dc.date.accessioned | 2021-09-08T17:19:08Z | - |
| dc.date.available | 2021-09-08T17:19:08Z | - |
| dc.date.created | 2021-06-10 | - |
| dc.date.issued | 2009-05-01 | - |
| dc.identifier.issn | 0378-4371 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/120072 | - |
| dc.description.abstract | We consider an unconditionally gradient stable scheme for solving the Allen-Cahn equation representing a model for anti-phase domain coarsening in a binary mixture. The continuous problem has a decreasing total energy. We show the same property for the corresponding discrete problem by using eigenvalues of the Hessian matrix of the energy functional. We also show the pointwise boundedness of the numerical solution for the Allen-Cahn equation. We describe various numerical experiments we performed to Study properties of the Allen-Cahn equation. (C) 2009 Elsevier B.V. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ELSEVIER | - |
| dc.subject | ADAPTIVE MESH REFINEMENT | - |
| dc.subject | PROJECTION METHOD | - |
| dc.title | An unconditionally gradient stable numerical method for solving the Allen-Cahn equation | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Choi, Jeong-Whan | - |
| dc.contributor.affiliatedAuthor | Kim, Junseok | - |
| dc.identifier.doi | 10.1016/j.physa.2009.01.026 | - |
| dc.identifier.scopusid | 2-s2.0-60349114175 | - |
| dc.identifier.wosid | 000264616900003 | - |
| dc.identifier.bibliographicCitation | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.388, no.9, pp.1791 - 1803 | - |
| dc.relation.isPartOf | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | - |
| dc.citation.title | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | - |
| dc.citation.volume | 388 | - |
| dc.citation.number | 9 | - |
| dc.citation.startPage | 1791 | - |
| dc.citation.endPage | 1803 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Physics | - |
| dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
| dc.subject.keywordPlus | ADAPTIVE MESH REFINEMENT | - |
| dc.subject.keywordPlus | PROJECTION METHOD | - |
| dc.subject.keywordAuthor | Allen-Cahn equation | - |
| dc.subject.keywordAuthor | Nonlinear multigrid | - |
| dc.subject.keywordAuthor | Finite difference | - |
| dc.subject.keywordAuthor | Unconditionally gradient stable | - |
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.