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Optimal Control of Elliptic Variational Inequalities

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Abstract.

Optimality systems for optimal control problems governed by elliptic variational inequalities are derived. Existence of appropriately defined Lagrange multipliers is proved. A primal—dual active set method is proposed to solve the optimality systems numerically. Examples with and without lack of strict complementarity are included.

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Authors and Affiliations

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

    K. Ito

  2. Institut für Mathematik, Karl-Franzens-Universität Graz, A-8010 Graz, Austria , , , , , , AT

    K. Kunisch

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  1. K. Ito
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  2. K. Kunisch
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Accepted 5 March 1999

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Ito, K., Kunisch, K. Optimal Control of Elliptic Variational Inequalities . Appl Math Optim 41, 343–364 (2000). https://doi.org/10.1007/s002459911017

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  • DOI: https://doi.org/10.1007/s002459911017

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