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

页码：79 / 95

页数：17