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Boundary optimal control for antiplane problems with power-law friction

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 form 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.
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https://hal.archives-ouvertes.fr/hal-02176637
Contributor : Nicolae Cindea <>
Submitted on : Wednesday, June 24, 2020 - 4:07:12 PM
Last modification on : Monday, July 20, 2020 - 3:07:48 AM

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Nicolae Cindea, Andaluzia Matei, Sorin Micu, Constantin Niţă. Boundary optimal control for antiplane problems with power-law friction. Applied Mathematics and Computation, Elsevier, 2020, pp.125448. ⟨hal-02176637v2⟩

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