THB-splines: The truncated basis for hierarchical splines

The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer le...

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Veröffentlicht in:	Computer aided geometric design Jg. 29; H. 7; S. 485 - 498
Hauptverfasser:	Giannelli, Carlotta, Jüttler, Bert, Speleers, Hendrik
Format:	Journal Article Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	Kidlington Elsevier B.V 01.10.2012 Elsevier
Schlagworte:	Exact sciences and technology Hierarchical tensor–product B-splines Local refinement Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Numerical approximation Partition of unity Sciences and techniques of general use Truncated basis Truncated basis Partition of unity Hierarchical tensor–product B-splines Local refinement B spline Refinement method Tensor product Grid Refinement Adaptive method Hierarchized structure Spline approximation Truncation Hierarchy Truncated shape Hierarchical tensor-product B-splines
ISSN:	0167-8396, 1879-2332
Online-Zugang:	Volltext
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