Analysis-Suitable T-splines are Dual-Compatible

作者：da Veiga L Beirao; Buffa A; Cho D^*; Sangalli G

来源：Computer Methods in Applied Mechanics and Engineering, 2012, 249: 42-51.

DOI：10.1016/j.cma.2012.02.025

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

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.

• 出版日期2012-12-1