Nonsmooth Variational Problems and Operator Equations

Head:
Michael Hintermüller

Coworkers:
Marcelo Bongarti, Sarah Essadi, Maximilian Fröhlich, Denis Korolev, Jianfeng Ning, Felix Sauer, Clemens Sirotenko, Qi Wang

Team Assistant:
Pia Pfau

Guests:
Martin Brokate

From left to right: Michael Hintermüller, Marcelo Bongarti, Felix Sauer, Pia Pfau, Maximilian Fröhlich, Qi Wang, Jianfeng Ning, Denis Korolev.

The group works in the area of mathematical modeling, in the analysis of resulting variational problems or operator equations, as well as in the development, analysis and numerical implementation of respective solution algorithms. Of key importance are hereby those processes in medicine, nature, engineering and economy, where non-smooth phenomena play a decisive role. Concretely, the research group addresses

• non-smooth models for energy functionals and/or state systems;
• (quasi) variational inequalities, or non-smooth, coupled systems and their optimal control
• equilibrium problems and game theoretical approaches.

The focus of our research is on the main application areas on quantitative biomedicine, optimization and control of technological processes, and on aspects of materials modeling. Hereby, methods in non-smooth and set-valued analysis or geometry for the handling of non-smooth systems with partial differential operators or non-smooth energies on infinite dimensional spaces are developed in order to facilitate an analytical as well as numerical exact study of the effects on non-differential elements in the underlying applications.

The group and their guests regularly present their work in the » research seminars.