An unconditionally gradient stable adaptive mesh refinement for the Cahn-Hilliard equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Junseok | - |
dc.contributor.author | Bae, Hyeong-Ohk | - |
dc.date.accessioned | 2021-09-09T05:46:27Z | - |
dc.date.available | 2021-09-09T05:46:27Z | - |
dc.date.created | 2021-06-10 | - |
dc.date.issued | 2008-08 | - |
dc.identifier.issn | 0374-4884 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/122969 | - |
dc.description.abstract | We consider a numerical method, the so-called an unconditionally gradient stable adaptive mesh refinement scheme, for solving the Cahn-Hilliard equation representing a model of phase separation 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. An unconditionally gradient stable time discretization is used to remove the high-order time-step constraints. An adaptive mesh refinement is used to highly resolve narrow interfacial layers. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN PHYSICAL SOC | - |
dc.subject | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
dc.subject | GENERAL BOUNDARY CONDITIONS | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | SPINODAL DECOMPOSITION | - |
dc.subject | QUANTUM DOTS | - |
dc.subject | EPITAXY | - |
dc.subject | ENERGY | - |
dc.subject | SYSTEM | - |
dc.title | An unconditionally gradient stable adaptive mesh refinement for the Cahn-Hilliard equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.3938/jkps.53.672 | - |
dc.identifier.scopusid | 2-s2.0-50949110245 | - |
dc.identifier.wosid | 000258481300032 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.53, no.2, pp.672 - 679 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.citation.volume | 53 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 672 | - |
dc.citation.endPage | 679 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001473048 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.subject.keywordPlus | PARTIAL-DIFFERENTIAL-EQUATIONS | - |
dc.subject.keywordPlus | GENERAL BOUNDARY CONDITIONS | - |
dc.subject.keywordPlus | PHASE-FIELD MODEL | - |
dc.subject.keywordPlus | SPINODAL DECOMPOSITION | - |
dc.subject.keywordPlus | QUANTUM DOTS | - |
dc.subject.keywordPlus | EPITAXY | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordAuthor | unconditionally stable scheme | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | adaptive mesh refinement | - |
dc.subject.keywordAuthor | nonlinear multigrid method | - |
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