The Kachanov method for a nonlinear variational inequality of the second kind arising in elastoplasticity
type: Item
instance of: scholarly article
title: The Kachanov method for a nonlinear variational inequality of the second kind arising in elastoplasticity
zbMATH Open document ID: 0853.73019
author: Yanyan Li
published in: Chinese Annals of Mathematics. Series B
publication date: 1997-01-06T00:00:00Z
review text: We first prove a convergence result on the Kachanov method for solving general nonlinear variational inequalities of the second kind and then apply the Kachanov method to a nonlinear variational inequality of the second kind arising in elastoplasticity. In each step of the Kachanov iteration, one has a (linear) variational inequality of the second kind, which can be solved by using a regularization technique. An a posteriori error estimate is derived for the combined effect of the Kachanov iterations and the regularization.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 903442
zbMATH Keywords: convergence
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: Kachanov iterations
zbMATH Keywords: regularization
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 903442