Reproducing kernel triangular B-spline-based FEM for solving PDEs
DC Field | Value | Language |
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dc.contributor.author | Jia, Yue | - |
dc.contributor.author | Zhang, Yongjie | - |
dc.contributor.author | Xu, Gang | - |
dc.contributor.author | Zhuang, Xiaoying | - |
dc.contributor.author | Rabczuk, Timon | - |
dc.date.accessioned | 2021-09-05T18:06:57Z | - |
dc.date.available | 2021-09-05T18:06:57Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2013-12-01 | - |
dc.identifier.issn | 0045-7825 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/101330 | - |
dc.description.abstract | We propose a reproducing kernel triangular B-spline-based finite element method (FEM) as an improvement to the conventional triangular B-spline element for solving partial differential equations (PDEs). In the latter, unexpected errors can occur throughout the analysis domain mainly due to the excessive flexibilities in defining the B-spline. The performance therefore becomes unstable and cannot be controlled in a desirable way. To address this issue, the proposed improvement adopts the reproducing kernel approximation in the calculation of B-spline kernel function. Three types of PDE problems are tested to validate the present element and compare against the conventional triangular B-spline. It has been shown that the improved triangular B-spline satisfies the partition of unity condition even for extreme conditions including corners and holes. (C) 2013 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE SA | - |
dc.subject | LARGE-DEFORMATION ANALYSIS | - |
dc.subject | ELEMENT-METHOD | - |
dc.subject | ISOGEOMETRIC ANALYSIS | - |
dc.subject | PARTICLE METHODS | - |
dc.subject | MESHFREE METHOD | - |
dc.subject | NURBS | - |
dc.subject | SHELL | - |
dc.subject | REFINEMENT | - |
dc.subject | PARTITION | - |
dc.subject | VIBRATION | - |
dc.title | Reproducing kernel triangular B-spline-based FEM for solving PDEs | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Rabczuk, Timon | - |
dc.identifier.doi | 10.1016/j.cma.2013.08.019 | - |
dc.identifier.scopusid | 2-s2.0-84884964050 | - |
dc.identifier.wosid | 000329530900015 | - |
dc.identifier.bibliographicCitation | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.267, pp.342 - 358 | - |
dc.relation.isPartOf | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | - |
dc.citation.title | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | - |
dc.citation.volume | 267 | - |
dc.citation.startPage | 342 | - |
dc.citation.endPage | 358 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Engineering, Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.subject.keywordPlus | LARGE-DEFORMATION ANALYSIS | - |
dc.subject.keywordPlus | ELEMENT-METHOD | - |
dc.subject.keywordPlus | ISOGEOMETRIC ANALYSIS | - |
dc.subject.keywordPlus | PARTICLE METHODS | - |
dc.subject.keywordPlus | MESHFREE METHOD | - |
dc.subject.keywordPlus | NURBS | - |
dc.subject.keywordPlus | SHELL | - |
dc.subject.keywordPlus | REFINEMENT | - |
dc.subject.keywordPlus | PARTITION | - |
dc.subject.keywordPlus | VIBRATION | - |
dc.subject.keywordAuthor | Triangular B-spline | - |
dc.subject.keywordAuthor | Reproducing kernel triangular B-spline | - |
dc.subject.keywordAuthor | Finite element method | - |
dc.subject.keywordAuthor | Reproducing kernel approximation | - |
dc.subject.keywordAuthor | Poisson&apos | - |
dc.subject.keywordAuthor | s equations | - |
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