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Optimal Control of Obstacle Problems by H1-Obstacles

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Abstract

Optimal control of variational inequalities with the controls given by the obstacles is considered. Existence optimal solutions are proved for obstacles with H1 regularity and first-order optimality conditions are derived which, under additional assumptions, are also sufficient. A numerical algorithm is proposed and its practical feasibility is investigated.

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Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA

    Kazufumi Ito

  2. Institut fur Mathematik und wissenschaftliches Rechnen, Karl-Franzens-Universitat Graz, A-8010 Graz, Austria

    Karl Kunisch

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  1. Kazufumi Ito
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  2. Karl Kunisch
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Correspondence to Kazufumi Ito or Karl Kunisch.

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Ito, K., Kunisch, K. Optimal Control of Obstacle Problems by H1-Obstacles. Appl Math Optim 56, 1–17 (2007). https://doi.org/10.1007/s00245-007-0877-6

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  • DOI: https://doi.org/10.1007/s00245-007-0877-6

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