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research article

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

Beirão da Veiga, L.
•
Buffa, Annalisa  
•
Sangalli, G.
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2013
Mathematical Models and Methods in Applied Sciences

T-splines are an important tool in IGA since they allow local refinement. In this paper we define analysis-suitable T-splines of arbitrary degree and prove fundamental properties: Linear independence of the blending functions and optimal approximation properties of the associated T-spline space. These are corollaries of our main result: A T-mesh is analysis-suitable if and only if it is dual-compatible. Indeed, dual compatibility is a concept already defined and used in L. Beirão da Veiga et al.5 Analysis-suitable T-splines are dual-compatible which allows for a straightforward construction of a dual basis. © 2013 World Scientific Publishing Company.

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Type
research article
DOI
10.1142/S0218202513500231
Author(s)
Beirão da Veiga, L.
Buffa, Annalisa  
Sangalli, G.
Vázquez Hernández, Rafael  
Date Issued

2013

Published in
Mathematical Models and Methods in Applied Sciences
Volume

23

Issue

11

Start page

1979

End page

2003

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
MNS  
Available on Infoscience
April 3, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/136323
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