Numerical Methods for Diagnosis and Therapy Design of Cerebral Palsy by Bilevel Optimal Control of Constrained Biomechanical Multi-Body Systems
No publications from this project yet.
Christian Kirches, Ekaterina Kostina, Andreas Meyer, Matthias Schlöder: Numerical Solution of Optimal Control Problems with Switches, Switching Costs and Jumps (SPP1962-109, 03/2019, [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.
Incorporation of parameter dependencies and robustnessIn many applications the robustness of solutions with respect to a given parameter range (uncertainty set) is highly relevant. Correspondingly, in this research area of the SPP, bi- or multilevel optimization approaches will be studied in order to robustify problem solutions against uncertain parameters.
Prof. Hans Georg BockUniversität Heidelberg
Prof. Ekaterina KostinaUniversität Heidelberg
Dr. Johannes SchlöderUniversität Heidelberg
Marta SauterUniversität Heidelberg
Matthias SchlöderUniversität Heidelberg
Project Related News
Mar 06, 2019 : New preprint submitted
Matthias Schlöder submitted the preprint SPP1962-109, Numerical Solution of Optimal Control Problems with Switches, Switching Costs and Jumps
Apr 26, 2017 : Welcome to our new project member
Marta Sauter joins Project 3
Oct 10, 2016 : Welcome to our new project member
Matthias Schlöder joins project 3.