3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
View/Date of Publication
01.2016Publisher
Institut für Numerische SimulationPublisher Location
BonnMetadata
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Citable Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11871
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.
Subjects
Isogeometric Analysis, trivariate T-Splines, Analysis-Suitability, Dual-Compatibility, adaptive mesh refinement
Classification (DDC)
510 Mathematik 518 Numerische AnalysisFirst Publication
https://ins.uni-bonn.de/publication/preprintsRelated Publications
https://doi.org/10.1137/15M102229XPart of Series
INS Preprints ; 1508Morgenstern, Philipp: 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement. In: INS Preprints, 1508.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11871
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11871
@unpublished{handle:20.500.11811/11871,
author = {{Philipp Morgenstern}},
title = {3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement},
publisher = {Institut für Numerische Simulation},
year = 2016,
month = jan,
INS Preprints},
volume = 1508,
note = {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.},
url = {https://hdl.handle.net/20.500.11811/11871}
}
author = {{Philipp Morgenstern}},
title = {3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement},
publisher = {Institut für Numerische Simulation},
year = 2016,
month = jan,
INS Preprints},
volume = 1508,
note = {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.},
url = {https://hdl.handle.net/20.500.11811/11871}
}
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