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Grantor: Czech Science Foundation (GAČR)

**Objectives**:

Modern variational analysis oers powerful tools for creation and treatment of advanced mathematical models. The aim of this project is to use these tools for the investigation of several selected challenging nonsmooth problems coming from continuum mechanics. This will include analysis of existence of solutions, their stability and sensitivity with respect to model data, and their dependence on possible control/design

variables. A particular attention will be paid to control problems arising from optimal design. New numerical approaches will be developed, tailored to specic classes of large-scale mathematical optimization problems emerging in optimization with PDE constraints or variational inequality constraints, which enable their ecient numerical realization. In all considered problems, nonsmoothness and/or set-valuedness arises either

in their data or in methods used for their treatment.

IM leader :

Main investigator:

**Haslinger** Jaroslav

Participating institutions:

Faculty of Mathematics and Physics, Charles University in Prague, **Coordinator**

Institute of Mathematics, Czech Academy of Sciences

Institute of Information Theory and Automation, Czech Academy of Sciences