Year: 2012
Numerical Mathematics: Theory, Methods and Applications, Vol. 5 (2012), Iss. 4 : pp. 635–652
Abstract
In this paper, the dimension of the nonuniform bivariate spline space $S_{3}^{1,2}(\Delta_{mn}^{(2)})$ is discussed based on the theory of multivariate spline space. Moreover, by means of the Conformality of Smoothing Cofactor Method, the basis of $S_{3}^{1,2}(\Delta_{mn}^{(2)}) $composed of two sets of splines are worked out in the form of the values at ten domain points in each triangular cell, both of which possess distinct local supports. Furthermore, the explicit coefficients in terms of B-net are obtained for the two sets of splines respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2012.m10053
Numerical Mathematics: Theory, Methods and Applications, Vol. 5 (2012), Iss. 4 : pp. 635–652
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Bivariate spline conformality of smoothing cofactor method B-net
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Bivariate Polynomial Interpolation over Nonrectangular Meshes
Qian, Jiang
Zheng, Sujuan
Wang, Fan
Fu, Zhuojia
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 P.549
https://doi.org/10.4208/nmtma.2016.y15027 [Citations: 0]