A bivariate C1 cubic super spline space on Powell-Sabin triangulation

被引：11
|
作者：
Chen, Sun-Kang [1 ,2 ]
Liu, Huan-Wen [1 ]
机构：
[1] Guangxi Univ Nationalities, Dept Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China
[2] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 05期
基金：
中国国家自然科学基金;
关键词：
super spline; macro-element; Powell-Sabin type-1 split; nodal parameters; hermite interpolation;
D O I：
10.1016/j.camwa.2008.02.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bivariate C-1 cubic super spline is constructed on Powell-Sabin type-1 split with the additional smoothness at vertices in the original triangulation being C-2, which permits the Hermite interpolation up to the second order partial derivatives exactly on all the vertices in the original triangulation. The locally supported dual basis and computational details using derivatives around each vertex are given. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1395 / 1401
页数：7
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