The Dimensions of Spline Spaces and Their Singularity

The Dimensions of Spline Spaces and Their Singularity

Year:    1992

Author:    Xi-Quan Shi

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 224–230

Abstract

In this paper, the dimensions of spaces $S^{\mu}_k(\Delta_n)(k\geq 2^n\mu +1)$ are obtained, where $(\Delta_n)$ is a general simplicial partition of a bounded region with piecewise linear boundary. It is also pointed that the singularity of spaces $S^{\mu}_k(\Delta_n)$ can not disappear when $n\geq 3$ no matter how large $k$ is. At the same time, a necessary and sufficient condition that Morgen and Scott's structure is singular is obtained.  

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9355

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 224–230

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:   

Author Details

Xi-Quan Shi