On the Control of Time Discretized Dynamical Contact Problems

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Müller, Georg ; Schiela, Anton:
On the Control of Time Discretized Dynamical Contact Problems.
University of Bayreuth, Germany , 2015 . - 37 S.

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Abstract

We consider optimal control problems with distributed control that involve a time-stepping formulation of dynamical 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.