Data-dependent triangulations for scattered data interpolation and finite element approximation
type: Item
instance of: scholarly article
title: Data-dependent triangulations for scattered data interpolation and finite element approximation
zbMATH Open document ID: 0776.65007
DOI: 10.1016/0168-9274(93)90113-6
published in: Applied Numerical Mathematics
publication date: 1993-08-08T00:00:00Z
review text: The authors study two approximation schemes: interpolation of scattered data and finite element approximation to solutions of elliptic partial differential equations, to approximate a bivariate function \(F(x,y)\), defined over some region \(A\), by a member of a finite-dimensional space of functions. They restrict their study to approximation methods in which the approximant is constructed over a triangulation of \(A\) and to the case where the approximant is a continuous piecewise linear polynomial. Several examples are given.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 205160
zbMATH Keywords: numerical examples
zbMATH Keywords: interpolation
zbMATH Keywords: scattered data
zbMATH Keywords: finite element
zbMATH Keywords: triangulation
zbMATH Keywords: piecewise linear
author: Nira Dyn
author: Samuel Rippa
reviewed by: Antonio López-Carmona
describes a project that uses: Algorithm 624
MaRDI profile type: Publication
full work available at URL: 0168-9274(93)90113-6
OpenAlex ID: W1982650467
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description: scientific article; zbMATH DE number 205160