A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Yu, Qian | - |
dc.contributor.author | Fang, Weiwei | - |
dc.contributor.author | Xia, Binhu | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-08-30T04:23:25Z | - |
dc.date.available | 2021-08-30T04:23:25Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2021-01-12 | - |
dc.identifier.issn | 1019-7168 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/50123 | - |
dc.description.abstract | We propose a stable scheme to solve numerically the Cahn-Hilliard-Hele-Shaw system in three-dimensional space. In the proposed scheme, we discretize the space and time derivative terms by combining with backward differentiation formula, which turns out to be both second-order accurate in space and time. Using this method, a set of linear elliptic equations are solved instead of the complicated and high-order nonlinear equations. We prove that our proposed scheme is uniquely solvable. We use a linear multigrid solver, which is fast and convergent, to solve the resulting discrete system. The numerical tests indicate that our scheme can use a large time step. The accuracy and other capability of the proposed algorithm are demonstrated by various computational results. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.title | A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1007/s10444-020-09835-6 | - |
dc.identifier.scopusid | 2-s2.0-85099379211 | - |
dc.identifier.wosid | 000610424100001 | - |
dc.identifier.bibliographicCitation | ADVANCES IN COMPUTATIONAL MATHEMATICS, v.47, no.1 | - |
dc.relation.isPartOf | ADVANCES IN COMPUTATIONAL MATHEMATICS | - |
dc.citation.title | ADVANCES IN COMPUTATIONAL MATHEMATICS | - |
dc.citation.volume | 47 | - |
dc.citation.number | 1 | - |
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.keywordAuthor | Backward differentiation formula | - |
dc.subject.keywordAuthor | Cahn-Hilliard-Hele-Shaw | - |
dc.subject.keywordAuthor | Unique solvability | - |
dc.subject.keywordAuthor | Linear multigrid | - |
dc.subject.keywordAuthor | Second-order accuracy | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.