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Modern variational analysis o ers 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 speci c 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.
Main investigator:
Haslinger Jaroslav
IM leaders:
Participating institutions:
Institute of Mathematics, AS CR,
Mathematical and Physical Faculty, Charles University, MFF UK,
Institute of Information Theory and Automation AS CR, UTIA
