Bivariate C1 cubic spline space over a nonuniform type-2 triangulation and its subspaces with boundary conditions*

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Abstract

In this paper, we discuss the algebraic structure of bivariate C1 cubic spline spaces over nonuniform type-2 triangulation and its subspaces with boundary conditions. The dimensions of these spaces are determined and their local support bases are constructed.

Keywords

Bivariate C1 cubic spline space
Boundary conditions
Dimension and basis
Nonuniform type-2 triangulation

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*

H.-W. Liu is partially supported by the NSF of China (10162001), the Excellent Young Teachers Program of the Ministry of Education China (1784), Guangxi Shi-Bai-Qian Scholars Program (2001224) and Guangxi NSF (0135001). D. Hong is supported in part by the NSF (IGMS 0408086).

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