About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation.
type: Item
instance of: scholarly article
title: About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation.
zbMATH Open document ID: 1066.65132
DOI: 10.1023/A:1013775420323
author: Reiner Vanselow
published in: Applications of Mathematics
publication date: 2005-04-19T00:00:00Z
full work available at URL: https://eudml.org/doc/33075
review text: The following problem is solved: In a bounded domain in \(\mathbb R^2\), a finite set of points is given. A triangulation of that domain has to be found, whose vertices are the given points and which preserves, in the case of the Poisson equation, the maximum principle. It is proved that such triangulation has to be a Delaunay one.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 2158699
zbMATH Keywords: linear conforming finite element method
zbMATH Keywords: Delaunay triangulation
zbMATH Keywords: discrete maximum principle
MaRDI profile type: Publication
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OpenAlex ID: W23885181
description: scientific article; zbMATH DE number 2158699