A hybrid FEM for solving the Allen-Cahn equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shin, Jaemin | - |
dc.contributor.author | Park, Seong-Kwan | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-05T04:18:59Z | - |
dc.date.available | 2021-09-05T04:18:59Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014-10-01 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/97131 | - |
dc.description.abstract | We present an unconditionally stable hybrid finite element method for solving the Allen-Cahn equation, which describes the temporal evolution of a non-conserved phase-field during the antiphase domain coarsening in a binary mixture. Its various modified forms have been applied to image analysis, motion by mean curvature, crystal growth, topology optimization, and two-phase fluid flows. The hybrid method is based on the operator splitting method. The equation is split into a heat equation and a nonlinear equation. An implicit finite element method is applied to solve the diffusion equation and then the nonlinear equation is solved analytically. Various numerical experiments are presented to confirm the accuracy and efficiency of the method. Our simulation results are consistent with previous theoretical and numerical results. (C) 2014 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.subject | MEAN-CURVATURE | - |
dc.subject | IMAGE SEGMENTATION | - |
dc.subject | PHASE-TRANSITIONS | - |
dc.subject | MOTION | - |
dc.subject | MODEL | - |
dc.title | A hybrid FEM for solving the Allen-Cahn equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.amc.2014.07.040 | - |
dc.identifier.scopusid | 2-s2.0-84905392025 | - |
dc.identifier.wosid | 000342265700054 | - |
dc.identifier.bibliographicCitation | APPLIED MATHEMATICS AND COMPUTATION, v.244, pp.606 - 612 | - |
dc.relation.isPartOf | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.citation.title | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.citation.volume | 244 | - |
dc.citation.startPage | 606 | - |
dc.citation.endPage | 612 | - |
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 | MEAN-CURVATURE | - |
dc.subject.keywordPlus | IMAGE SEGMENTATION | - |
dc.subject.keywordPlus | PHASE-TRANSITIONS | - |
dc.subject.keywordPlus | MOTION | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordAuthor | Allen-Cahn equation | - |
dc.subject.keywordAuthor | Finite element method | - |
dc.subject.keywordAuthor | Operator splitting method | - |
dc.subject.keywordAuthor | Unconditionally stable scheme | - |
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.