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Optimal Control of Elliptic Variational Inequalities |
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| Authors: | K. Ito K. Kunisch |
| Affiliation: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA , US;(2) Institut für Mathematik, Karl-Franzens-Universität Graz, A-8010 Graz, Austria , AT |
| 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. Accepted 5 March 1999 |
| Keywords: | . Optimal control Variational inequalities Augmented Lagrangians Lagrange multipliers Active set methods Strict complementarity. AMS Classification. 49J24 49J40 49K24 90C30. |
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