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

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.


Published in:
Mathematical Models and Methods in Applied Sciences, 23, 11, 1979-2003
Year:
2013
ISSN:
0218-2025
Laboratories:




 Record created 2017-04-03, last modified 2018-03-17


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