Dissertation Theses
Dissertation theses usually deal with complex mathematical optimization problems for which so far no efficient solution methods or theoretical foundations exist.
Often the optimization problems under consideration result from engineering questions or from industry and economics, but could as well deal with the theory of certain classes of optimization problems. Optimization problems containing partial differential equations as constraints are of particular interest for our workgroup. Examples are optimization involving flow problems or mechanical structures.
Additionally the workgroup develops novel algorithms for nonlinear and mixed-integer nonlinear optimization problems.
Dissertation Theses in Progress
- Robust shape optimization of electromechanical energy converters
(Prof. Ulbrich) Björn Polenz - Simulation Based Optimization and Optimal Design of Experiments for Wetting Processes
(Prof. Ulbrich) Elisabeth Diehl - Adaptive Multigrid Methods for Fluid-Structure Interaction Optimization
(Prof. Ulbrich) Sarah Essert - Model-guided Machine Learning
(Prof. Ulbrich) Isabel Jacob - Discretisation Methods for Incompressible Fractures
Seshadri Reddy Basava (Prof. Wollner) - Mixed-Integer Nonlinear Optimization of Heating Networks
(Prof. Pfetsch and Prof. Ulbrich) Lea Rehlich - Optimal Control and Generalized Nash Equilibrium Problems on Networks of Scalar Conservation Laws
(Prof. Ulbrich) Marcel Steinhardt - Mixed-Integer Nonlinear Optimization Methods for the Robust Optimization of Renewable Energy Systems Based on Iron
(Prof. Ulbrich) Elisa Corbean - Robust Design Optimization of Electrical Machines with IGA
(Prof. Ulbrich) Theodor Komann