Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
type: Item
instance of: scholarly article
title: Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
zbMATH Open document ID: 0874.65086
published in: Numerische Mathematik
publication date: 1997-06-30T00:00:00Z
review text: The implementation of multigrid methods requires the use of hierarchical grids, from coarse to fine grids. Thus, these multigrid methods are well adapted to problems involving regular domains. In the case of domains with micro-structures, the basic multigrid method is no longer applicable since coarse meshes cannot take into account such micro-structures. The object of this paper is to introduce and to analyse mathematically finite element tools useful to extend such multigrid methods to partial differential equations (PDEs) formulated on domains with complicated micro-structures. A second forthcoming paper will present the effective implementation of such extensions.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 1027744
zbMATH Keywords: composite finite elements
zbMATH Keywords: domains with micro-structures
zbMATH Keywords: multigrid methods
author: Wolfgang Hackbusch
author: S. Sauter
reviewed by: Michel Bernadou
MaRDI profile type: Publication
full work available at URL: s002110050248
OpenAlex ID: W2004110058
DOI: 10.1007/S002110050248
description: scientific article; zbMATH DE number 1027744