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An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics

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dc.contributor.authorNguyen-Thanh, N.-
dc.contributor.authorMuthu, J.-
dc.contributor.authorZhuang, X.-
dc.contributor.authorRabczuk, T.-
dc.date.accessioned2021-09-05T11:41:43Z-
dc.date.available2021-09-05T11:41:43Z-
dc.date.created2021-06-15-
dc.date.issued2014-02-
dc.identifier.issn0178-7675-
dc.identifier.urihttps://scholar.korea.ac.kr/handle/2021.sw.korea/99398-
dc.description.abstractAn adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.-
dc.languageEnglish-
dc.language.isoen-
dc.publisherSPRINGER-
dc.subjectKERNEL ELEMENT METHOD-
dc.subjectSUPERCONVERGENT PATCH RECOVERY-
dc.subjectHIERARCHICAL T-MESHES-
dc.subjectISOGEOMETRIC ANALYSIS-
dc.subjectPOLYNOMIAL SPLINES-
dc.subjectBUCKLING ANALYSIS-
dc.subjectLOCAL REFINEMENT-
dc.subjectFINITE-ELEMENTS-
dc.subjectFREE-VIBRATION-
dc.subjectSHELL ANALYSIS-
dc.titleAn adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics-
dc.typeArticle-
dc.contributor.affiliatedAuthorRabczuk, T.-
dc.identifier.doi10.1007/s00466-013-0914-z-
dc.identifier.scopusid2-s2.0-84893898822-
dc.identifier.wosid000330810400012-
dc.identifier.bibliographicCitationCOMPUTATIONAL MECHANICS, v.53, no.2, pp.369 - 385-
dc.relation.isPartOfCOMPUTATIONAL MECHANICS-
dc.citation.titleCOMPUTATIONAL MECHANICS-
dc.citation.volume53-
dc.citation.number2-
dc.citation.startPage369-
dc.citation.endPage385-
dc.type.rimsART-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalResearchAreaMechanics-
dc.relation.journalWebOfScienceCategoryMathematics, Interdisciplinary Applications-
dc.relation.journalWebOfScienceCategoryMechanics-
dc.subject.keywordPlusKERNEL ELEMENT METHOD-
dc.subject.keywordPlusSUPERCONVERGENT PATCH RECOVERY-
dc.subject.keywordPlusHIERARCHICAL T-MESHES-
dc.subject.keywordPlusISOGEOMETRIC ANALYSIS-
dc.subject.keywordPlusPOLYNOMIAL SPLINES-
dc.subject.keywordPlusBUCKLING ANALYSIS-
dc.subject.keywordPlusLOCAL REFINEMENT-
dc.subject.keywordPlusFINITE-ELEMENTS-
dc.subject.keywordPlusFREE-VIBRATION-
dc.subject.keywordPlusSHELL ANALYSIS-
dc.subject.keywordAuthorIsogeometric analysis-
dc.subject.keywordAuthorNURBS-
dc.subject.keywordAuthorPHT-splines-
dc.subject.keywordAuthorRHT-splines-
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