Estimates from above and from below for the homogenized coefficients
type: Item
instance of: scholarly article
title: Estimates from above and from below for the homogenized coefficients
zbMATH Open document ID: 0596.65076
DOI: 10.1007/BF01408574
published in: Numerische Mathematik
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133170
review text: The computation of the homogenized coefficients involves the solution of a minimum problem for a quadratic functional. The use of conforming finite elements provides estimates from above. In this paper we prove that, under realistic assumptions, the use of linear non-conforming finite elements provides estimates from below. Hence, a-posteriori error estimates for the homogenized coefficients can be obtained.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 3960928
zbMATH Keywords: composite materials
zbMATH Keywords: homogenized coefficients
zbMATH Keywords: conforming finite elements
zbMATH Keywords: linear non-conforming finite elements
zbMATH Keywords: a-posteriori error estimates
author: L. Donatella Marini
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3960928