Generalized T-splines and VMCR T-meshes

被引：9
作者：
Bracco, Cesare [1 ]
Cho, Durkbin [2 ]
机构：
[1] Univ Turin, Dept Math G Peano, I-10123 Turin, Italy
[2] Dongguk Univ Seoul, Dept Math, Seoul 100715, South Korea
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2014年 / 280卷
基金：
新加坡国家研究基金会;
关键词：
T-spline; T-mesh; GB-spline; Analysis-suitable; Dual-compatible; Linear independence; LINEAR INDEPENDENCE;
D O I：
10.1016/j.cma.2014.07.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper considers the extension of the T-spline approach to the Generalized B-splines (GB-splines), a relevant class of non-polynomial splines. The Generalized T-splines (GT-splines) are based both on the framework of classical polynomial T-splines and on the Trigonometric GT-splines (TGT-splines), a particular case of GT-splines. Our study of GT-splines introduces a class of T-meshes (named VMCR T-meshes) for which both the corresponding GT-splines and the corresponding polynomial T-splines are linearly independent. A practical characterization cart be given for a sub-class of VMCR T-meshes, which we refer to as weakly dual-compatible T-meshes, which properly includes the class of dual-compatible (equivalently, analysis-suitable) T-meshes for an arbitrary (polynomial) order. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：176 / 196
页数：21
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