Optimal Control of Obstacle Problems by H1-Obstacles |
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| Authors: | Kazufumi Ito Karl Kunisch |
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| Affiliation: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA;(2) Institut fur Mathematik und wissenschaftliches Rechnen, Karl-Franzens-Universitat Graz, A-8010 Graz, Austria |
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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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