High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Junxiang | - |
dc.contributor.author | Tan, Zhijun | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2022-02-14T10:41:21Z | - |
dc.date.available | 2022-02-14T10:41:21Z | - |
dc.date.created | 2022-01-20 | - |
dc.date.issued | 2021-11-15 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/135734 | - |
dc.description.abstract | In this study, we develop high-order time-accurate, efficient, and energy stable schemes for solving the conservative Swift-Hohenberg equation that can be used to describe the L-2-gradient flow based phase-field crystal dynamics. By adopting a modified exponential scalar auxiliary variable approach, we first transform the original equations into an expanded system. Based on the expanded system, the first-, second-, and third-order time-accurate schemes are constructed using the backward Euler formula, second-order backward difference formula (BDF2), and third-order backward difference formula (BDF3), respectively. The energy dissipation law can be easily proved with respect to a modified energy. In each time step, the local variable is updated by solving one elliptic type equation and the non-local variables are explicitly computed. The whole algorithm is totally decoupled and easy to implement. Extensive numerical experiments in two- and three-dimensional spaces are performed to show the accuracy, energy stability, and practicability of the proposed schemes. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | FINITE-DIFFERENCE SCHEME | - |
dc.subject | FIELD CRYSTAL EQUATION | - |
dc.subject | CAHN-HILLIARD | - |
dc.subject | PHASE | - |
dc.subject | 2ND-ORDER | - |
dc.title | High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.camwa.2021.10.016 | - |
dc.identifier.scopusid | 2-s2.0-85117585604 | - |
dc.identifier.wosid | 000721342700002 | - |
dc.identifier.bibliographicCitation | COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.102, pp.160 - 174 | - |
dc.relation.isPartOf | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
dc.citation.title | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
dc.citation.volume | 102 | - |
dc.citation.startPage | 160 | - |
dc.citation.endPage | 174 | - |
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 | 2ND-ORDER | - |
dc.subject.keywordPlus | CAHN-HILLIARD | - |
dc.subject.keywordPlus | FIELD CRYSTAL EQUATION | - |
dc.subject.keywordPlus | FINITE-DIFFERENCE SCHEME | - |
dc.subject.keywordPlus | PHASE | - |
dc.subject.keywordAuthor | Conservative Swift-Hohenberg model | - |
dc.subject.keywordAuthor | Efficient methods | - |
dc.subject.keywordAuthor | Energy dissipation | - |
dc.subject.keywordAuthor | High-order schemes | - |
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