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Optimal control of variational inequalities: A mathematical programming approach

  • M. Bergounioux
Chapter
Part of the IFIP — The International Federation for Information Processing book series (IFIPAICT)

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.

Keywords

Optimal control optimality conditions variational inequalities mathematical programming 

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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • M. Bergounioux
    • 1
  1. 1.URA-CNRS 1803, Université d’OrléansU.F.R. SciencesOrléans Cedex 2France

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