Analysis and Solution Methods for Bilevel Optimal Control Problems
Description
Publications
Patrick Mehlitz, Gerd Wachsmuth: The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces, SetValued and Variational Analysis, 2016
Patrick Mehlitz, Gerd Wachsmuth: The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry , SetValued and Variational Analysis , 2017
Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth: Optimal control of a rateindependent evolution equation via viscous regularization , Continuous Dynamical Systems, 2017
: On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces, SetValued and Variational Analysis , 2018
Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth: Optimal control of a rateindependent evolution equation via viscous regularization, Discrete and Continuous Dynamical Systems  Series S 10(6), 14671485 , 2017
Preprints
Marc Herrmann, Roland Herzog, Stephan Schmidt, Josè Vidal, Gerd Wachsmuth: Discrete Total Variation with Finite Elements and Applications to Imaging (SPP1962054, 04/2018, [bib])
Yu Deng, Patrick Mehlitz, Uwe Prüfert: Optimal Control in Firstorder Sobolev Spaces with Inequality Constraints (SPP1962053, 04/2018, [bib])
Yu Deng, Patrick Mehlitz, Uwe Prüfert: On an Optimal Control Problem with Gradient Constraints (SPP1962050, 02/2018, [bib])
Felix Harder, Gerd Wachsmuth: Optimality Conditions for a Class of Inverse Optimal Control Problems With Partial Differential Equations (SPP1962048, 01/2018, [bib])
Constantin Christof, Gerd Wachsmuth: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators (SPP1962039, 11/2017, [bib])
Constantin Christof, Gerd Wachsmuth: On the NonPolyhedricity of Sets with Upper and Lower Bounds in Dual Spaces (SPP1962031, 08/2017, [bib])
Felix Harder: Legendre Forms in Reflexive Banach Spaces (SPP1962030, 08/2017, [bib])
Felix Harder, Gerd Wachsmuth: Comparison of Optimality Systems for the Optimal Control of the Obstacle Problem (SPP1962029, 08/2017, [bib])
Constantin Christof, Gerd Wachsmuth: NoGap SecondOrder Conditions via a Directional Curvature Functional (SPP1962026, 07/2017, [bib])
Patrick Mehlitz: On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces (SPP1962025, 06/2017, [bib])
Felix Harder, Gerd Wachsmuth: The Limiting Normal Cone of a Complementarity Set in Sobolev Spaces (SPP1962023, 06/2017, [bib])
Patrick Mehlitz, Gerd Wachsmuth: The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry (SPP1962016, 04/2017, [bib])
Patrick Mehlitz, Gerd Wachsmuth: The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces (SPP1962004, 12/2016, [bib])
Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth: Optimal control of a rateindependent evolution equation via viscous regularization (SPP1962001, 11/2016, [bib])
Research Area
Modeling, problem analysis, algorithm design and convergence analysis
The focus of this area is on the development and analysis of genuinely nonsmooth models in the sciences in order to properly capture realworld effects and to avoid comprising smoothing approaches. In simulation and optimization this requires to advance setvalued analysis and the design of robust algorithms for nonsmooth problems.Realization of algorithms, adaptive discretization and model reduction
As the target applications of this SPP involve nonsmooth structures and partial differential operators, the discretization of the associated problems and robust error estimation are important issues to be address, and proper modelreduction techniques need to be developed.Members

Prof. Stephan Dempe
Technische Universität Bergakademie Freiberg
Principal Investigator 
Dr. Gerd Wachsmuth
Technische Universität Chemnitz
Principal Investigator 
Felix Harder
Technische Universität Chemnitz
Research Assistant 
Prof. Anton Schiela
Universität Bayreuth
Cooperation Partner 
Prof. Michael Ulbrich
Technische Universität München
Cooperation Partner
Project Related News

Oct 10, 2016 : Welcome to our new project member
Felix Harder joins project 6.

Jul 06, 2017 : New preprint submitted
Patrick Mehlitz submitted the Preprint SPP1962025, On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces

Jan 27, 2018 : New preprint submitted
Felix Harder submitted the Preprint SPP1962048, Optimality Conditions for a Class of Inverse Optimal Control Problems with Partial Differential Equations

Feb 14, 2018 : New preprint submitted
Patrick Mehlitz submitted the Preprint SPP1962050, On an Optimal Control Problem with Gradient Constraints