A Kind of Cubic C~1—Interpolations in the n-dimensional Finite Element Method

作     者：Ren Hong Wang and Xi Quan Shi(Jinlin University) Ren Hong Wang and Xi Quan Shi(Jinlin University)

作者机构：吉林大学 吉林 长春 

出 版 物：《数学研究与评论》 (Journal of Mathematical Research and Exposition)

年 卷 期：1989年第9卷第2期

页      面：173-179页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：A Kind of Cubic C~1 

摘      要：As is well known that the multivariate spline function plays an important role in both theory and application. The paper [1]—[11] hove studied the multivariate spline functions and obtained a lot of results concerning this topic. Especially in [3], the existance theorem has been shown for the case of n-dim entional spline functions. A. Zeniek [10] and P. Alfeld [11] have established some of results about the tetrahedron partition. In this paper. we will show a kind of cubic C~1—interpolations for any n-simplicial partition in R~n. Of course, some of the subdivisions will be needed.