Adaptive Optimal Control of Elastoplastic Contact Problems
نویسنده
چکیده
In this article, the optimal control of static elasto-plastic contact problems are discussed. We present regularization approaches for the nondifferentiabilities arising from contact as well as from elastoplasticity in order to apply fast Newton-type solution algorithms. To achieve an efficient algorithm, we adaptively balance the both regularization, the discretization, and the numerical error based on a posteriori error estimates of the different errors. Numerical examples show the efficiency of the presented approach. Acknowledgements The authors gratefully acknowledge the support given by the DFG in the collaborative research center (SFB) 708 ”3D-Surface Engineering für Werkzeugsysteme der Blechumformteilefertigung Erzeugung, Modellierung, Bearbeitung” in the subproject B8.
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