Analysis and Solution Methods for Bilevel Optimal Control Problems
Patrick Mehlitz, Gerd Wachsmuth: The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces, Set-Valued and Variational Analysis, 2016
Constantin Christof, Gerd Wachsmuth: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces (SPP1962-031, 08/2017, [bib])
Felix Harder, Gerd Wachsmuth: Comparison of Optimality Systems for the Optimal Control of the Obstacle Problem (SPP1962-029, 08/2017, [bib])
Constantin Christof, Gerd Wachsmuth: No-Gap Second-Order Conditions via a Directional Curvature Functional (SPP1962-026, 07/2017, [bib])
Patrick Mehlitz: On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces (SPP1962-025, 06/2017, [bib])
Felix Harder, Gerd Wachsmuth: The Limiting Normal Cone of a Complementarity Set in Sobolev Spaces (SPP1962-023, 06/2017, [bib])
Patrick Mehlitz, Gerd Wachsmuth: The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry (SPP1962-016, 04/2017, [bib])
Patrick Mehlitz, Gerd Wachsmuth: The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces (SPP1962-004, 12/2016, [bib])
Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth: Optimal control of a rate-independent evolution equation via viscous regularization (SPP1962-001, 11/2016, [bib])
Modeling, problem analysis, algorithm design and convergence analysisThe focus of this area is on the development and analysis of genuinely non-smooth models in the sciences in order to properly capture real-world effects and to avoid comprising smoothing approaches. In simulation and optimization this requires to advance set-valued analysis and the design of robust algorithms for non-smooth problems.
Realization of algorithms, adaptive discretization and model reductionAs the target applications of this SPP involve non-smooth structures and partial differential operators, the discretization of the associated problems and robust error estimation are important issues to be address, and proper model-reduction techniques need to be developed.
Prof. Stephan DempeTechnische Universität Bergakademie Freiberg
Dr. Gerd WachsmuthTechnische Universität Chemnitz
Felix HarderTechnische Universität Chemnitz
Prof. Anton SchielaUniversität Bayreuth
Prof. Michael UlbrichTechnische Universität München
Project Related News
10. 10. 2016 : Welcome to our new project member
Felix Harder joins project 6.
06. 07. 2017 : New preprint submitted
Patrick Mehlitz submitted the Preprint SPP1962-025, On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces