Error bounds for minimal energy bivariate polynomial splines
type: Item
instance of: scholarly article
title: Error bounds for minimal energy bivariate polynomial splines
zbMATH Open document ID: 1012.41011
author: Ming-Jun Lai
author: Larry L. Schumaker
author: Manfred von Golitschek
published in: Numerische Mathematik
publication date: 2003-03-18T00:00:00Z
review text: This paper is on bivariate splines that are used to approximate function values at scattered points. The bivariate polynomial splines are chosen by interpolation , i.e. they must meet prescribed function values at given points, and so as to minimize an energy semi-norm. This semi-norm is defined through second derivatives and therefore has linear polynomials in its null-space. The main result gives error bounds on such minimal energy interpolants, provided we interpolate from a bivariate spline space with a suitable stable local basis and the splines are formed by a quasi-uniform triangulation.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1884031
zbMATH Keywords: minimal energy splines
zbMATH Keywords: polynomial splines
zbMATH Keywords: error bounds
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: s002110100381
OpenAlex ID: W1985832307
DOI: 10.1007/S002110100381
description: scientific article; zbMATH DE number 1884031