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AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Junseok | - |
| dc.contributor.author | Shin, Jaemin | - |
| dc.date.accessioned | 2021-09-03T11:10:05Z | - |
| dc.date.available | 2021-09-03T11:10:05Z | - |
| dc.date.created | 2021-06-16 | - |
| dc.date.issued | 2017-01 | - |
| dc.identifier.issn | 1015-8634 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/84971 | - |
| dc.description.abstract | We present a finite difference method for solving the Ohta Kawasaki model, representing a model of mesoscopic phase separation for the block copolymer. The numerical methods for solving the Ohta Kawasaki model need to inherit the mass conservation and energy dissipation properties. We prove these characteristic properties and solvability and unconditionally gradient stability of the scheme by using Hessian matrices of a discrete functional. We present numerical results that validate the mass conservation, and energy dissipation, and unconditional stability of the method. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | KOREAN MATHEMATICAL SOC | - |
| dc.subject | CAHN-HILLIARD EQUATION | - |
| dc.subject | DIBLOCK COPOLYMERS | - |
| dc.subject | MICROPHASE SEPARATION | - |
| dc.subject | PHASE-DIAGRAM | - |
| dc.subject | MOBILITY | - |
| dc.subject | SCHEME | - |
| dc.subject | ENERGY | - |
| dc.subject | SYSTEM | - |
| dc.title | AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Junseok | - |
| dc.identifier.doi | 10.4134/BKMS.b150980 | - |
| dc.identifier.scopusid | 2-s2.0-85010830925 | - |
| dc.identifier.wosid | 000396482600010 | - |
| dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.1, pp.145 - 158 | - |
| dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
| dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
| dc.citation.volume | 54 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 145 | - |
| dc.citation.endPage | 158 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.identifier.kciid | ART002193007 | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.description.journalRegisteredClass | kci | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | CAHN-HILLIARD EQUATION | - |
| dc.subject.keywordPlus | DIBLOCK COPOLYMERS | - |
| dc.subject.keywordPlus | MICROPHASE SEPARATION | - |
| dc.subject.keywordPlus | PHASE-DIAGRAM | - |
| dc.subject.keywordPlus | MOBILITY | - |
| dc.subject.keywordPlus | SCHEME | - |
| dc.subject.keywordPlus | ENERGY | - |
| dc.subject.keywordPlus | SYSTEM | - |
| dc.subject.keywordAuthor | block-copolymer | - |
| dc.subject.keywordAuthor | Ohta Kawasaki model | - |
| dc.subject.keywordAuthor | solvability | - |
| dc.subject.keywordAuthor | unconditionally gradient stability | - |
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Related Researcher
- Kim, Jun seok
- College of Science (Department of Mathematics)