@Article{JCM-10-224, author = {Shi , Xi-Quan}, title = {The Dimensions of Spline Spaces and Their Singularity}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {3}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9355.html} }