Hermite spline interpolation on a three direction mesh from Powell-Sabin and Hsieh-Clough-Tocher finite elements

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• 作者：D. Barrera ; ^{dbarrera@ugr.es} ; M.J. Ibá ; ñ ; ez ^{mibanez@ugr.es}
• 关键词：Hermite interpolation ; Powell&ndash ; Sabin finite element ; Hsieh&ndash ; Clough&ndash ; Tocher finite element ; Unisolvent configuration
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：565-579
• 全文大小：574 K
• 卷排序：318

文摘

In this paper we develop a general local method to define Hermite interpolants of prescribed order r≥1r≥1 and global class CsCs on the three direction mesh of the real plane. They are defined from Powell–Sabin and Hsieh–Clough–Tocher finite elements in such a way that the interpolation operators have fundamental functions with compact support and reproduce a given space PmPm of polynomials included in the spline space.