On the Weak Solvability and the Optimal Control of a Frictional Contact Problem with Normal Compliance

Abstract : In the present work we consider a frictional contact model with normal compliance. Firstly, we discuss the weak solvability of the model by means of two variational approaches. In a first approach the weak solution is a solution of a quasivariational inequality. In a second approach the weak solution is a solution of a mixed variational problem with solution-dependent set of Lagrange multipliers. Nextly, the paper focuses on the boundary optimal control of the model. Existence results, an optimality condition and some convergence results are presented.
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Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.370-379, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_35〉
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Andaluzia Matei. On the Weak Solvability and the Optimal Control of a Frictional Contact Problem with Normal Compliance. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.370-379, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_35〉. 〈hal-01626881〉

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