A variational approach to optimal meshes
type: Item
instance of: scholarly article
title: A variational approach to optimal meshes
zbMATH Open document ID: 0863.65075
published in: Numerische Mathematik
publication date: 1997-06-08T00:00:00Z
review text: A variational approach for optimization of triangular or tetrahedral meshes is considered. The existence and under stronger conditions the global injectivity of an optimal solution in the class of admissible variations are proved. It is possible to improve and adapt 3-dimensional meshes by a stable minimization algorithm with useful properties. The reconstruction of the grid for a domain with free boundary, the concentration of the mesh at singularities, or its compression near an arbitrary given boundary to resolve a boundary layer are interesting applications.
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 932044
zbMATH Keywords: optimal meshes
zbMATH Keywords: minimization algorithm
zbMATH Keywords: free boundary
zbMATH Keywords: boundary layer
author: Martin Rumpf
reviewed by: Peter P. Matus
MaRDI profile type: Publication
full work available at URL: s002110050180
OpenAlex ID: W2049086919
DOI: 10.1007/S002110050180
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description: scientific article; zbMATH DE number 932044