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.
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.