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AN UNCONDITIONALLY STABLE NUMERICAL METHOD FOR THE VISCOUS CAHN HILLIARD EQUATION
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Shin, Jaemin | - |
| dc.contributor.author | Choi, Yongho | - |
| dc.contributor.author | Kim, Junseok | - |
| dc.date.accessioned | 2021-09-05T06:37:35Z | - |
| dc.date.available | 2021-09-05T06:37:35Z | - |
| dc.date.created | 2021-06-15 | - |
| dc.date.issued | 2014-08 | - |
| dc.identifier.issn | 1531-3492 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/97890 | - |
| dc.description.abstract | We present an unconditionally stable finite difference method for solving the viscous Cahn-Hilliard equation. We prove the unconditional stability of the proposed scheme by using the decrease of a discrete functional. We present numerical results that validate the convergence and unconditional stability properties of the method. Further, we present numerical experiments that highlight the different temporal evolutions of the Cahn-Hilliard and viscous Cahn-Hilliard equations. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
| dc.subject | DIFFERENCE SCHEME | - |
| dc.subject | SYSTEM | - |
| dc.subject | INTERFACES | - |
| dc.subject | DYNAMICS | - |
| dc.subject | MOBILITY | - |
| dc.subject | ENERGY | - |
| dc.subject | MODELS | - |
| dc.subject | FLUID | - |
| dc.title | AN UNCONDITIONALLY STABLE NUMERICAL METHOD FOR THE VISCOUS CAHN HILLIARD EQUATION | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Junseok | - |
| dc.identifier.doi | 10.3934/dcdsb.2014.19.1737 | - |
| dc.identifier.scopusid | 2-s2.0-84904913983 | - |
| dc.identifier.wosid | 000338310900012 | - |
| dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.19, no.6, pp.1737 - 1747 | - |
| dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
| dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
| dc.citation.volume | 19 | - |
| dc.citation.number | 6 | - |
| dc.citation.startPage | 1737 | - |
| dc.citation.endPage | 1747 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.subject.keywordPlus | DIFFERENCE SCHEME | - |
| dc.subject.keywordPlus | SYSTEM | - |
| dc.subject.keywordPlus | INTERFACES | - |
| dc.subject.keywordPlus | DYNAMICS | - |
| dc.subject.keywordPlus | MOBILITY | - |
| dc.subject.keywordPlus | ENERGY | - |
| dc.subject.keywordPlus | MODELS | - |
| dc.subject.keywordPlus | FLUID | - |
| dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
| dc.subject.keywordAuthor | viscous Cahn-Hilliard equation | - |
| dc.subject.keywordAuthor | unconditionally stable scheme | - |
| dc.subject.keywordAuthor | finite-difference method | - |
| dc.subject.keywordAuthor | multigrid method | - |
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