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On the control of time discretized dynamic contact problems

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We consider optimal control problems with distributed control that involve a time-stepping formulation of dynamic one body contact problems as constraints. We link the continuous and the time-stepping formulation by… Click to show full abstract

We consider optimal control problems with distributed control that involve a time-stepping formulation of dynamic one body contact problems as constraints. We link the continuous and the time-stepping formulation by a nonconforming finite element discretization and derive existence of optimal solutions and strong stationarity conditions. We use this information for a steepest descent type optimization scheme based on the resulting adjoint scheme and implement its numerical application.

Keywords: control time; time discretized; discretized dynamic; time; contact problems

Journal Title: Computational Optimization and Applications
Year Published: 2017

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