Titelaufnahme

GesamttitelOptimal control of perfect plasticity / C. Meyer, S. Walther
Titel
Part II (March 2020) Displacement tracking
VerfasserMeyer, Christian ; Walther, Stephan
ErschienenMarch 2020
Ausgabe
Elektronische Ressource
Umfang1 Online-Ressource (27 Seiten)
SerieErgebnisberichte angewandte Mathematik ; no. 627
URNurn:nbn:de:hbz:6:2-130779 
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Displacement tracking [0.45 mb]
Zusammenfassung

The 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 eld 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.

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