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dc.contributor.authorXu, Gang
dc.contributor.authorRabczuk, Timon
dc.contributor.authorGüler, Erhan
dc.contributor.authorWu, Quing
dc.contributor.authorHui, Kinchuen
dc.contributor.authorWang, Guazhao
dc.date.accessioned2019-06-11T09:15:34Z
dc.date.available2019-06-11T09:15:34Z
dc.date.issued2015
dc.identifier.urihttps://www.sciencedirect.com/journal/computers-and-structures/vol/161/suppl/C
dc.identifier.urihttp://hdl.handle.net/11772/1350
dc.description.abstractNumerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic Bézier approximation. A new energy functional called quasi-harmonic energy functional is proposed as the objective function to obtain the quasi-harmonic Bézier surface from given boundaries. The quasi-harmonic mask is also proposed to generate approximate minimal surfaces by solving a sparse linear system. We propose a framework to construct multi-patch quasi-harmonic Bézier approximation from N-sided boundary curves. The efficiency of the proposed methods is illustrated by several modeling examples.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectForm findingen_US
dc.subjectMinimal surfacesen_US
dc.subjectBézier approximationen_US
dc.subjectPlateau–Bézier problemen_US
dc.subjectQuasi-harmonic methoden_US
dc.subjectMulti-patch structureen_US
dc.titleQuasi harmonic Bézier approximation of minimal surfaces for finding forms of structural membranesen_US
dc.typearticleen_US
dc.relation.journalComputers & Structuresen_US
dc.contributor.departmentBartın Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.contributor.authorID28161en_US
dc.identifier.volume161en_US
dc.identifier.startpage55en_US
dc.identifier.endpage63en_US


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