AS plus plus T-splines: Linear independence and approximation

作者：Li, Xin^*; Zhang, Jingjing

来源：Computer Methods in Applied Mechanics and Engineering, 2018, 333: 462-474.

DOI：10.1016/j.cma.2018.01.041

• T-splines
• Linear independence
• Isogeometric analysis
• Analysis-suitable T-splines

In this paper, we define analysis-suitable++ (AS++) T-splines which include analysis-suitable (AS) T-splines as a special case and maintain all the good mathematical properties as AS T-splines. We prove that AS++ T-splines are always linear independent regardless of the knot values and show that the classical construction of the dual basis for tensor-product B-splines and AS T-splines can be generalized to AS++ T-spline spaces. We also discuss how all of these issues pave the way to a mathematical theory for AS++ T-splines.

• 出版日期2018-5-1
• 单位中国科学技术大学; 合肥工业大学