Planar mesh refinement cannot be both local and regular
type: Item
instance of: scholarly article
title: Planar mesh refinement cannot be both local and regular
zbMATH Open document ID: 0902.65065
published in: Numerische Mathematik
publication date: 1998-12-02T00:00:00Z
review text: The result of this paper is stated in the title and refers to triangular meshes being regular in the sense that every interior vertex has degree 6, and hence the interior part of the mesh can be mapped onto a standard mesh consisting of equalised triangles. The proof covers a stronger result, namely that the refinement of a regular mesh cannot be both regular and strictly interior. As the authors stress, their consideration is restricted completely to planar meshes.
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1145970
zbMATH Keywords: planar triangular graphs
zbMATH Keywords: refinement
zbMATH Keywords: regular
zbMATH Keywords: local
author: Jonathan F. Buss
author: R. Bruce Simpson
reviewed by: Gisbert Stoyan
describes a project that uses: PLTMG
MaRDI profile type: Publication
full work available at URL: s002110050329
OpenAlex ID: W1990220392
DOI: 10.1007/S002110050329
description: scientific article; zbMATH DE number 1145970