On the convexity of Bézier nets of quadratic Powell-Sabin splines on 12-fold refined triangulations
type: Item
instance of: scholarly article
title: On the convexity of Bézier nets of quadratic Powell-Sabin splines on 12-fold refined triangulations
zbMATH Open document ID: 0947.65018
DOI: 10.1016/S0377-0427(99)00305-2
author: J. Lorente-Pardo
author: M. C. Serrano-Pérez
author: P. Sablonnière
published in: Journal of Computational and Applied Mathematics
publication date: 2000-10-22T00:00:00Z
review text: Considering the partition of a triangle in 12 subtriangles the authors analyse the convexity of finite elements over such triangles and of differentiable surfaces obtained by assembling such elements in a triangulated polygonal convex domain [see \textit{M. J. D. Powell} and \textit{M. A. Sabin}, ACM Trans. Math. Software 3, 316-325 (1977; Zbl 0375.41010)]. Necessary and sufficient conditions for the convexity of Bézier nets of the triangles of the foregoing type and of the associated composed surfaces are obtained.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 1423331
zbMATH Keywords: Bézier nets
zbMATH Keywords: convexity
zbMATH Keywords: triangular finite element
zbMATH Keywords: quadratic Powell-Sabin splines
zbMATH Keywords: triangulations
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00305-2
OpenAlex ID: W2148799081
description: scientific article; zbMATH DE number 1423331