Analysis-Suitable T-splines are Dual-Compatible

L. Beirão da Veiga; A. Buffa; D. Cho; G. Sangalli

doi:10.1016/j.cma.2012.02.025

Analysis-Suitable T-splines are Dual-Compatible

L. Beirão da Veiga, A. Buffa, D. Cho, G. Sangalli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	42-51
Number of pages	10
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	249-252
DOIs	https://doi.org/10.1016/j.cma.2012.02.025
State	Published - 1 Dec 2012

Keywords

Analysis-Suitable T-splines
Dual basis
Dual-Compatible T-splines
Isogeometric analysis

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10.1016/j.cma.2012.02.025

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AU - Buffa, A.

AU - Cho, D.

AU - Sangalli, G.

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KW - Analysis-Suitable T-splines

KW - Dual basis

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KW - Isogeometric analysis

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JF - Computer Methods in Applied Mechanics and Engineering

ER -

Analysis-Suitable T-splines are Dual-Compatible

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Keywords

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