Local refinement of analysis-suitable T-splines

We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 213-216; pp. 206 - 222
Main Authors: Scott, M.A., Li, X., Sederberg, T.W., Hughes, T.J.R.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.03.2012
Elsevier
Subjects:
Applied sciences
Bézier extraction
Computer aided design
Computer science; control theory; systems
Exact sciences and technology
Isogeometric analysis
Local refinement
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Sciences and techniques of general use
Software
T-splines
Isogeometric analysis
T-splines
Bézier extraction
Local refinement
Refinement method
Refinement
Adaptive method
Spline approximation
Numerical approximation
Finite element method
Computational geometry
Non uniform rational B spline
Extraction
Algorithm analysis
Computer aided design
Control point
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent and form a partition of unity. These properties, coupled with local refinement, make this class of T-splines appealing as a basis for isogeometric analysis.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2011.11.022