On the Discretization of Pseudomonotone Variational Inequalities with an Application to the Numerical Solution of the Nonmonotone Delamination Problem

Nina Ovcharova () and Joachim Gwinner ()
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Nina Ovcharova: Institute of Mathematics, Universität der Bundeswehr München, Department of Aerospace Engineering
Joachim Gwinner: Institute of Mathematics, Universität der Bundeswehr München, Department of Aerospace Engineering

A chapter in Optimization in Science and Engineering, 2014, pp 393-405 from Springer

Abstract: Abstract In this paper we present an approximation procedure for pseudomonotone variational inequalities in general reflexive Banach spaces. Under an appropriate coerciveness condition we obtain a convergence result for this method. Then we show that hemivariational inequalities in linear elasticity are pseudomonotone. Thus our approximation method can be applied to nonmonotone contact. Here we give an application to a delamination problem in 2D. We sketch how regularization of nonsmooth functionals together with finite element approximation lead to an efficient numerical solution method for these problems.

Keywords: Pseudomonotone Variational Inequalities; Delamination Problem; Hemivariational Inequalities; General Reflexive Banach Spaces; Efficient Numerical Solution Methods (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0808-0_20

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DOI: 10.1007/978-1-4939-0808-0_20

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