An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Junxiang | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-11-20T21:40:41Z | - |
dc.date.available | 2021-11-20T21:40:41Z | - |
dc.date.created | 2021-08-30 | - |
dc.date.issued | 2021-05 | - |
dc.identifier.issn | 2079-7362 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/128160 | - |
dc.description.abstract | A linear, unconditionally energy stable, and second-order accurate numerical scheme for the Ohta-Kawasaki equation modeling the diblock copolymer dynamics is proposed. The temporal discretisation is based on the Crank-Nicolson temporal discretisation and extrapolation. To suppress the dominance of nonlinear term, a proper stabilising parameter is used. All nonlinear parts are linearised by using the extrapolation from the information at preceding time levels. To solve the resulting linear system, an efficient linear multigrid algorithm is used. The unconditionally energy stability, mass conservation, and unique solvability of the scheme are analytically proved. In two-dimensional case, we run convergence and stability tests, and consider pattern formations for various average concentrations. Pattern formations in three-dimensional space are also studied. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | GLOBAL SCIENCE PRESS | - |
dc.subject | CAHN-HILLIARD EQUATION | - |
dc.subject | MINIMIZING WAVELENGTHS | - |
dc.subject | EQUILIBRIUM STATES | - |
dc.subject | MULTIGRID METHOD | - |
dc.subject | ALLEN-CAHN | - |
dc.subject | EVOLUTION | - |
dc.subject | EFFICIENT | - |
dc.subject | MODELS | - |
dc.subject | SYSTEM | - |
dc.title | An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.4208/eajam.240620.071020 | - |
dc.identifier.scopusid | 2-s2.0-85102990514 | - |
dc.identifier.wosid | 000622342700002 | - |
dc.identifier.bibliographicCitation | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, v.11, no.2, pp.234 - 254 | - |
dc.relation.isPartOf | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | - |
dc.citation.title | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | - |
dc.citation.volume | 11 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 234 | - |
dc.citation.endPage | 254 | - |
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 | CAHN-HILLIARD EQUATION | - |
dc.subject.keywordPlus | MINIMIZING WAVELENGTHS | - |
dc.subject.keywordPlus | EQUILIBRIUM STATES | - |
dc.subject.keywordPlus | MULTIGRID METHOD | - |
dc.subject.keywordPlus | ALLEN-CAHN | - |
dc.subject.keywordPlus | EVOLUTION | - |
dc.subject.keywordPlus | EFFICIENT | - |
dc.subject.keywordPlus | MODELS | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordAuthor | Unconditional energy stability | - |
dc.subject.keywordAuthor | second-order accuracy | - |
dc.subject.keywordAuthor | Ohta-Kawasaki model | - |
dc.subject.keywordAuthor | finite difference method | - |
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