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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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Andaluzia Matei. On the Weak Solvability and the Optimal Control of a Frictional Contact Problem with Normal Compliance. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.370-379, ⟨10.1007/978-3-319-55795-3_35⟩. ⟨hal-01626881⟩

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