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Optimal control of an obstacle problem

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Abstract

We investigate optimal control problems governed by variational inequalities, and more precisely the obstacle problem. Since we adopt a numerical point of view, we first relax the feasible domain of the problem; then using both mathematical programming methods and penalization methods we get optimality conditions with smooth lagrange multipliers.

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Authors and Affiliations

  1. MAPMO-UMR-CNRS 6628, Bâtiment de Mathématiques, Université d’Orléans, B.P. 6759, F-45067, Orléans, France

    M. Bergounioux

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  1. M. Bergounioux
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Communicated by R. Temam

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Bergounioux, M. Optimal control of an obstacle problem. Appl Math Optim 36, 147–172 (1997). https://doi.org/10.1007/BF02683341

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  • DOI: https://doi.org/10.1007/BF02683341

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