Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Amani, J. | - |
dc.contributor.author | Bagherzadeh, A. Saboor | - |
dc.contributor.author | Rabczuk, T. | - |
dc.date.accessioned | 2021-09-05T17:46:55Z | - |
dc.date.available | 2021-09-05T17:46:55Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2014 | - |
dc.identifier.issn | 1024-123X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/101238 | - |
dc.description.abstract | The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems. In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously. In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors. The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures. Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | HINDAWI LTD | - |
dc.subject | MESHFREE METHODS | - |
dc.subject | ELEMENT | - |
dc.subject | ENRICHMENT | - |
dc.subject | MECHANICS | - |
dc.subject | EQUATIONS | - |
dc.title | Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Rabczuk, T. | - |
dc.identifier.doi | 10.1155/2014/721240 | - |
dc.identifier.scopusid | 2-s2.0-84896136068 | - |
dc.identifier.wosid | 000332285700001 | - |
dc.identifier.bibliographicCitation | MATHEMATICAL PROBLEMS IN ENGINEERING, v.2014 | - |
dc.relation.isPartOf | MATHEMATICAL PROBLEMS IN ENGINEERING | - |
dc.citation.title | MATHEMATICAL PROBLEMS IN ENGINEERING | - |
dc.citation.volume | 2014 | - |
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.journalWebOfScienceCategory | Engineering, Multidisciplinary | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.subject.keywordPlus | MESHFREE METHODS | - |
dc.subject.keywordPlus | ELEMENT | - |
dc.subject.keywordPlus | ENRICHMENT | - |
dc.subject.keywordPlus | MECHANICS | - |
dc.subject.keywordPlus | EQUATIONS | - |
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.