News vom 16.07.2018
Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. The associated non-smoothness typically arises (i) directly in the problem formulation (through non-smooth energies/objectives or system components), (ii) through inequality constraints, nonlinear complementarity or switching systems, or (iii) as a result of competition and hierarchy, typically leading to multiobjective/hierarchical optimization or to quasi-variational inequality problems. In this context, the transition from smoothing or simulation based approaches to genuinely non-smooth techniques or to multi-objective respectively multi-level optimization are crucial. This motivates the research of the programme.
The goals of the Priority Programme are to
Area 1. Modelling, problem analysis, algorithm design and convergence analysis.
Area 2. Realization of algorithms, adaptive discretization and model reduction.
Area 3. Incorporation of parameter dependencies and robustness.