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

Nicolae Cîndea, Andaluzia Matei, Sorin Micu and Constantin Niţă

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: 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.

Keywords: Nonlinear boundary value problem; Antiplane contact model; Power-law friction; Optimal control; Optimality conditions; Fixed point; Approximation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304094

DOI: 10.1016/j.amc.2020.125448

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