Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals
type: Item
instance of: scholarly article
title: Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals
zbMATH Open document ID: 0865.65004
DOI: 10.1016/0898-1221(96)00177-0
publication date: 1997-07-10T00:00:00Z
review text: The authors extend \textit{E. L. Wachspress}' construction [A rational finite element basis (1975; Zbl 0322.65001)] of a family of \(C^0\) splines on a quadrilateral grid to a family of \(C'\) splines. The spline functions are rational functions made up of linear factors. The existence proof from which a computational procedure can be extracted (it is not given explicitly) shows that there are still three constants that can be chosen subject to certain inequalities. The spline approximation is exact on functions of degree 3.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 978118
zbMATH Keywords: rational shape functions
zbMATH Keywords: interpolation
zbMATH Keywords: quadrilateral grid
author: Zhongxuan Luo
author: Ren-Hong Wang
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0898-1221(96)00177-0
OpenAlex ID: W2081207774
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 978118