An explicit hybrid finite difference scheme for the Allen-Cahn equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-02T05:18:56Z | - |
dc.date.available | 2021-09-02T05:18:56Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2018-10-01 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/72531 | - |
dc.description.abstract | In this paper, we propose an explicit hybrid numerical method for solving the Allen Cahn equation, which models antiphase domain coarsening process in a binary mixture. The proposed method is based on an operator splitting method. First, we solve the linear diffusion part using the explicit Euler method. Second, we solve the nonlinear term using the closed-form analytical solution. We show the stability condition of the proposed numerical scheme. We also show the pointwise boundedness of the numerical solution for the Allen-Cahn equation under a solvability condition. Numerical experiments such as linear stability analysis, traveling wave, motion by mean curvature, image segmentation, and crystal growth are presented to demonstrate the performance of the proposed method. (C) 2018 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | APPROXIMATION | - |
dc.subject | SIMULATION | - |
dc.subject | STABILITY | - |
dc.title | An explicit hybrid finite difference scheme for the Allen-Cahn equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.cam.2018.02.026 | - |
dc.identifier.scopusid | 2-s2.0-85043985209 | - |
dc.identifier.wosid | 000440264600014 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.340, pp.247 - 255 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.citation.volume | 340 | - |
dc.citation.startPage | 247 | - |
dc.citation.endPage | 255 | - |
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 | PHASE-FIELD MODEL | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordPlus | SIMULATION | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordAuthor | Allen-Cahn equation | - |
dc.subject.keywordAuthor | Finite difference method | - |
dc.subject.keywordAuthor | Explicit hybrid method | - |
dc.subject.keywordAuthor | Operator splitting method | - |
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