Generalized Newton method in contact mechanics
type: Item
instance of: scholarly article
title: Generalized Newton method in contact mechanics
zbMATH Open document ID: 0868.49021
DOI: 10.1016/S0021-7824(97)89946-1
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1997-08-18T00:00:00Z
review text: This paper is devoted to study the global convergence of the Newton method generalized to systems of non-differentiable equations issued from the contact mechanics. In the first part, some theoretical results are presented for a typical obstacle problem. In the second part, the behaviour of the Newton algorithm is analyzed by a heuristic approach. In this way, other nonlinearities, like friction or elastoplasticity, together with unilateral contact, can be taken up.
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1010948
zbMATH Keywords: global convergence
zbMATH Keywords: Newton method
zbMATH Keywords: systems of non-differentiable equations
zbMATH Keywords: contact mechanics
zbMATH Keywords: obstacle problem
zbMATH Keywords: friction
zbMATH Keywords: elastoplasticity
zbMATH Keywords: unilateral contact
author: P. Alart
MaRDI profile type: Publication
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full work available at URL: s0021-7824(97)89946-1
OpenAlex ID: W2026164650
description: scientific article; zbMATH DE number 1010948