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...

Full description

Saved in:

Bibliographic Details
Published in:	Computer aided geometric design Vol. 29; no. 7; pp. 485 - 498
Main Authors:	Giannelli, Carlotta, Jüttler, Bert, Speleers, Hendrik
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Kidlington Elsevier B.V 01.10.2012 Elsevier
Subjects:	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 Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!