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Semicoercive Variational Inequalities: From Existence to Numerical Solution of Nonmonotone Contact Problems

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Abstract

In this paper, we present a novel numerical solution procedure for semicoercive hemivariational inequalities. As a concrete example, we consider a unilateral semicoercive contact problem with nonmonotone friction modeling the deformation of a linear elastic block in a rail, and provide numerical results for benchmark tests.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Institute of Mathematics, Universität der Bundeswehr München, Neubiberg, Germany

    Nina Ovcharova & Joachim Gwinner

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  1. Nina Ovcharova
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  2. Joachim Gwinner
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Correspondence to Nina Ovcharova.

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Communicated by Antonino Maugeri.

Dedicated to the memory of Professor V. F. Demyanov and Professor S. Schaible.

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Ovcharova, N., Gwinner, J. Semicoercive Variational Inequalities: From Existence to Numerical Solution of Nonmonotone Contact Problems. J Optim Theory Appl 171, 422–439 (2016). https://doi.org/10.1007/s10957-016-0969-z

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  • DOI: https://doi.org/10.1007/s10957-016-0969-z

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