A discretization theory for a class of semi-coercive unilateral problems
type: Item
instance of: scholarly article
title: A discretization theory for a class of semi-coercive unilateral problems
zbMATH Open document ID: 1013.65069
author: Samir Adly
author: Daniel Goeleven
published in: Numerische Mathematik
publication date: 2000-12-19T00:00:00Z
review text: The authors consider semi-coercive variational inequalities typical of contract problems in elasto-statics, statics, and their finite element approximation. They show that weak accumulation points of the sequence of finite element solutions are solutions of the original problem. As the solution does not have to be unique, not more can be expected. If on the other hand the original problem has a unique solution, we obtain strong convergence of the finite element solutions, as well as in the non-unique case the strong convergence of the regularised Tikhonov solutions towards the original solution of minimal norm. The results are demonstrated by some numerical examples.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 1545475
zbMATH Keywords: semi-coercive unilateral problems
zbMATH Keywords: Galerkin schema
zbMATH Keywords: obstacle problem
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: variational inequalities
zbMATH Keywords: contract problems
zbMATH Keywords: finite element
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
reviewed by: Hermann G. Matthies
MaRDI profile type: Publication
full work available at URL: s002110000164
OpenAlex ID: W2080247724
DOI: 10.1007/S002110000164
description: scientific article; zbMATH DE number 1545475