Schwerpunktprogramm 1962: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization
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
- lay the analytical foundations (through, e.g., the advancement of non-smooth and set-valued analysis),
- establish a basis for stable numerical approximation through the design of algorithms with mesh independent convergence,
- address the influence of parameters, which enter the above-mentioned problems and which fall into a specified parameter range (uncertainty set).
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.Termin: 31.10.2018 (Registrierung bis 24.10.2018)
Adresse: DFG, Kennedyallee 40, 53175 Bonn
Kontakt: Dr. Frank Kiefer,Tel.: +49 228 885-2567, firstname.lastname@example.org, Birgit Weber, Tel.: +49 228 885-2751, email@example.com
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