Published December 1, 2020 | Version v1
Journal article Open

Boundary optimal control for antiplane contact problems with power-law friction

  • 1. Université Clermont Auvergne, Laboratoire de Mathématiques Blaise Pascal CNRS-UMR 6620, Campus des Cézeaux - 3 place Vasarely, Aubière cedex F-63178, France
  • 2. Department of Mathematics, University of Craiova, Craiova, 200585, Romania
  • 3. Department of Mathematics, University of Craiova, Craiova, 200585, Romania; Institute of Mathematical Statistics and Applied Mathematics, Bucharest, 70700, Romania


We consider a contact model with power-law friction in the antiplane context. Our study focuses on the boundary optimal control, paying special attention to optimality conditions and computational methods. Depending on the exponent of the power-law friction, we are able to deduce an optimality condition for the original problem or for a regularized version of it. Furthermore, we introduce and analyze a computational technique based on linearization, saddle point theory and a fixed point method. For a slightly modified optimal control problem, some numerical experiments are presented.



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