An Explicit Local Basis for C¹ Cubic Spline Spaces Over a Triangulated Quadrangulation

Creator(s)

Huan Wen Liu, Guangxi University for Nationalities
Don Hong, East Tennessee State University

Document Type

Article

Publication Date

6-1-2003

Description

Let S31(?) be the bivariate C1-cubic spline space over a triangulated quadrangulation ?. In this paper, an explicit representation of a locally supported basis of S31(?) is given using the interpolation conditions at vertices.

Citation Information

Liu, Huan Wen; and Hong, Don. 2003. An Explicit Local Basis for C¹ Cubic Spline Spaces Over a Triangulated Quadrangulation. Journal of Computational and Applied Mathematics. Vol.155(1). 187-200. https://doi.org/10.1016/S0377-0427(02)00900-7 ISSN: 0377-0427