Immersed finite element methods for convection diffusion equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jo, Gwanghyun | - |
dc.contributor.author | Kwak, Do Y. | - |
dc.date.accessioned | 2023-09-11T01:35:13Z | - |
dc.date.available | 2023-09-11T01:35:13Z | - |
dc.date.issued | 2023-01 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/115210 | - |
dc.description.abstract | In this work, we develop two IFEMs for convection-diffusion equations with interfaces. We first define bilinear forms by adding judiciously defined convection-related line integrals. By establishing Gårding’s inequality, we prove the optimal error estimates both in L2 and H1-norms. The second method is devoted to the convection-dominated case, where test functions are piecewise constant functions on vertex-associated control volumes. We accompany the so-called upwinding concepts to make the control-volume based IFEM robust to the magnitude of convection terms. The H1 optimal error estimate is proven for control-volume based IFEM. We document numerical experiments which confirm the analysis. © 2023 the Author(s), licensee AIMS Press. | - |
dc.format.extent | 26 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | PO BOX 2604, SPRINGFIELD, USA, MO, 65801-2604 | - |
dc.title | Immersed finite element methods for convection diffusion equations | - |
dc.type | Article | - |
dc.publisher.location | 미국 | - |
dc.identifier.doi | 10.3934/math.2023407 | - |
dc.identifier.scopusid | 2-s2.0-85147712559 | - |
dc.identifier.wosid | 000930508000016 | - |
dc.identifier.bibliographicCitation | AIMS Mathematics, v.8, no.4, pp 8034 - 8059 | - |
dc.citation.title | AIMS Mathematics | - |
dc.citation.volume | 8 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 8034 | - |
dc.citation.endPage | 8059 | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, AppliedMathematics | - |
dc.subject.keywordPlus | INTERFACE PROBLEMS | - |
dc.subject.keywordPlus | 2-PHASE FLOW | - |
dc.subject.keywordPlus | POROUS-MEDIA | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordAuthor | control volume | - |
dc.subject.keywordAuthor | convection-diffusion problem | - |
dc.subject.keywordAuthor | immersed finite element method | - |
dc.subject.keywordAuthor | interface problem | - |
dc.subject.keywordAuthor | upwinding scheme | - |
dc.identifier.url | http://www.aimspress.com/article/doi/10.3934/math.2023407 | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
55 Hanyangdeahak-ro, Sangnok-gu, Ansan, Gyeonggi-do, 15588, Korea+82-31-400-4269 sweetbrain@hanyang.ac.kr
COPYRIGHT © 2021 HANYANG 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.