Approximation of infima in the calculus of variations
type: Item
instance of: scholarly article
title: Approximation of infima in the calculus of variations
zbMATH Open document ID: 0937.65071
DOI: 10.1016/S0377-0427(98)00112-5
author: Bernard Brighi
author: Michel Chipot
published in: Journal of Computational and Applied Mathematics
publication date: 1999-09-12T00:00:00Z
review text: The goal of this paper is to give numerical estimates for some problems of the calculus of variations in the nonhomogeneous scalar case. The stored energy function considered is then a function \(\varphi: \Omega\times \mathbb{R}^n\to \mathbb{R}\). The authors try to compare the infimum of the energy defined by \(\varphi\) on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1334511
zbMATH Keywords: finite elements
zbMATH Keywords: infima approximation
zbMATH Keywords: Sobolev space
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1334511