@Article{JCM-10-3,
author = {Xi-Quan, Shi},
title = {The Dimensions of Spline Spaces and Their Singularity},
journal = {Journal of Computational Mathematics},
year = {1992},
volume = {10},
number = {3},
pages = {224--230},
abstract = {<p style="text-align: justify;">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&#39;s structure is singular is obtained. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1992-JCM-9355},
url = {https://global-sci.com/article/85952/the-dimensions-of-spline-spaces-and-their-singularity}
}