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

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.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2005-06, Vol.49 (11-12), p.1853-1865
Main Authors: Liu, Huan-Wen, Hong, Don, Cao, Dun-Qian
Format: Article
Language:English
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Summary: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.
ISSN:0898-1221
DOI:10.1016/j.camwa.2004.08.014