On the Dimension of Bivariate Weak Spline Space Over Regular Rectilinear Partition

被引：0
|
作者：
Lang, Feng-Gong [1 ]
Wang, Ren-Hong [2 ]
机构：
[1] Ocean Univ China, Sch Math Sci, Qingdao 266071, Shandong, Peoples R China
[2] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2010年 / 57卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Bivariate spline; bivariate weak spline; regular rectilinear partition; appointed point sets; dimension; ELEMENT;
D O I：
10.1007/s00025-009-0003-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly study the dimensions of bivariate weak spline spaces W(k)(mu) (I(1)Delta) (k >= 2 mu+1) and W(2)(1) (I(1)*Delta) by using the smoothing cofactor-conformality method, where I(1)Delta and I(1)*Delta are regular rectilinear partitions with appointed point sets. Some future works relative to bivariate weak splines are also listed at the end of this paper.
引用
收藏
页码：79 / 95
页数：17
相关论文
共 50 条
12345