Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 249, Issue -, Pages 42-51Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.02.025
Keywords
Isogeometric analysis; Analysis-Suitable T-splines; Dual-Compatible T-splines; Dual basis
Funding
- European Research Council [205004 GeoPDEs]
- Italian MIUR [RBFR08CZ0S]
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In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines. (C) 2012 Elsevier B.V. All rights reserved.
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