3D Analysis-suitable T-splines: definition, linear independence and <em>m</em>-graded local refinement

dc.contributor.author	Morgenstern, Philipp
dc.date.accessioned	2024-08-15T16:04:46Z
dc.date.available	2024-08-15T16:04:46Z
dc.date.issued	01.2016
dc.identifier.uri	https://hdl.handle.net/20.500.11811/11871
dc.description.abstract	This paper addresses the linear independence of T-splines in three space dimensions. We give an abstract definition of analysis-suitability, and prove that it is equivalent to dual-compatibility, wich guarantees linear independence of the T-spline blending functions. In addition, we present a local refinement algorithm that generates analysis-suitable meshes and has linear computational complexity in terms of the number of marked and generated mesh elements.	en
dc.format.extent	27
dc.language.iso	eng
dc.relation.ispartofseries	INS Preprints ; 1508
dc.rights	In Copyright
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	Isogeometric Analysis
dc.subject	trivariate T-Splines
dc.subject	Analysis-Suitability
dc.subject	Dual-Compatibility
dc.subject	adaptive mesh refinement
dc.subject.ddc	510 Mathematik
dc.subject.ddc	518 Numerische Analysis
dc.title	3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
dc.type	Preprint
dc.publisher.name	Institut für Numerische Simulation
dc.publisher.location	Bonn
dc.rights.accessRights	openAccess
dc.relation.doi	https://doi.org/10.1137/15M102229X
ulbbn.pubtype	Zweitveröffentlichung
dcterms.bibliographicCitation.url	https://ins.uni-bonn.de/publication/preprints

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3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement