Meyer, ChristianWalther, Stephan2020-03-262020-03-262020-032190-1767http://hdl.handle.net/2003/3907110.17877/DE290R-20990The paper is concerned with an optimal control problem governed by the rate-independent system of quasi-static perfect elasto-plasticity. The objective is optimize the displacement field in the domain occupied by the body by means of prescribed Dirichlet boundary data, which serve as control variables. The arising optimization problem is nonsmooth for several reasons, in particular, since the control-to-state mapping is not single-valued. We therefore apply a Yosida regularization to obtain a single-valued control-to-state operator. Beside the existence of optimal solutions, their approximation by means of this regularization approach is the main subject of this work. It turns out that a so-called reverse approximation guaranteeing the existence of a suitable recovery sequence can only be shown under an additional smoothness assumption on at least one optimal solution.enErgebnisberichte des Instituts für Angewandte Mathematik;627optimal control of variational inequalitiesreverse approximationYosida regularizationrate-independent systemsperfect plasticity610preprint