Intrinsic supersmoothness of multivariate splines
type: Item
instance of: scholarly article
title: Intrinsic supersmoothness of multivariate splines
zbMATH Open document ID: 1202.41001
author: D. Kharzeev
published in: Numerische Mathematik
publication date: 2010-10-08T00:00:00Z
review text: Supersmoothness properties of bivariate piecewise polynomial splines are studied in this article, in particular of Powell-Sabin elements, Clough-Tocher elements, Worsey-Farin elements and Worsey-Piper elements. These properties depend on the underlying geometry of the partition of the data set.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 5797346
zbMATH Keywords: splines
zbMATH Keywords: supersmoothness
zbMATH Keywords: Powell-Sabin elements
zbMATH Keywords: Clough-Tocher elements
zbMATH Keywords: Worsey-Farin elements
zbMATH Keywords: Worsey-Piper elements
MaRDI profile type: Publication
full work available at URL: s00211-010-0306-7
OpenAlex ID: W2058193655
cites work: A trivariate Clough-Tocher scheme for tetrahedral data
cites work: Upper and lower bounds on the dimension of superspline spaces
cites work: Spline Functions on Triangulations
cites work: Piecewise Quadratic Approximations on Triangles
cites work: A \(C^1\) multivariate Clough-Tocher interpolant
cites work: A multivariate Powell-Sabin interpolant
cites work: An \(n\)-dimensional Clough-Tocher interpolant
cites work: A trivariate Powell-Sabin interpolant
DOI: 10.1007/S00211-010-0306-7
description: scientific article; zbMATH DE number 5797346