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On numerical solution of hemivariational inequalities by nonsmooth optimization methods

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Abstract

In this paper we consider numerical solution of hemivariational inequalities (HVI) by using nonsmooth, nonconvex optimization methods. First we introduce a finite element approximation of (HVI) and show that it can be transformed to a problem of finding a substationary point of the corresponding potential function. Then we introduce a proximal budle method for nonsmooth nonconvex and constrained optimization. Numerical results of a nonmonotone contact problem obtained by the developed methods are also presented.

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Authors and Affiliations

  1. Laboratory of Scientific Computing Department of Mathematics, University of Jyvskyl, P.O. Box 35, FIN-40351, Jyvskyl, Finland

    M. Miettinen, M. M. Mkel & J. Haslinger

  2. Faculty of Mathematics and Physics, Charles University, Prague Ke Karlovu 5, 12000, Praha 2, Czech Republic

    J. Haslinger

Authors
  1. M. Miettinen
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  2. M. M. Mkel
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  3. J. Haslinger
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Miettinen, M., Mkel, M.M. & Haslinger, J. On numerical solution of hemivariational inequalities by nonsmooth optimization methods. J Glob Optim 6, 401–425 (1995). https://doi.org/10.1007/BF01100086

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  • DOI: https://doi.org/10.1007/BF01100086

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