Local modification of meshes for adaptive and/or multigrid finite-element methods
type: Item
instance of: scholarly article
title: Local modification of meshes for adaptive and/or multigrid finite-element methods
zbMATH Open document ID: 0733.65075
DOI: 10.1016/0377-0427(91)90227-B
published in: Journal of Computational and Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: A mesh generation approach that allows the local modification of meshes of simplices is discussed. The generation and modification, especially refinement and derefinement, of sequences of nested irregular grids, as needed for multigrid algorithms in the adaptive finite-element setting, can be managed. It is shown that in 2 dimensions the meshes constructed are nondegenerate and smooth. Experimental results for the refinement of grids are presented in the 3-dimensional situation.
reviewed by: H.Schmitz
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4213373
zbMATH Keywords: grid generation
zbMATH Keywords: sequences of nested meshes
zbMATH Keywords: mesh generation
zbMATH Keywords: refinement
zbMATH Keywords: nested irregular grids
zbMATH Keywords: multigrid algorithms
zbMATH Keywords: adaptive finite-element
author: Maria-Cecilia Rivara
MaRDI profile type: Publication
cites work: Q3043075
cites work: Q3813123
cites work: Selective refinement: A new strategy for automatic node placement in graded triangular meshes
cites work: Q3727300
cites work: A comparison of adaptive refinement techniques for elliptic problems
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cites work: Selective refinement/derefinement algorithms for sequences of nested triangulations
full work available at URL: 0377-0427(91)90227-b
OpenAlex ID: W1970898459
description: scientific article; zbMATH DE number 4213373