Research Interests
- Non-linear and non-smooth optimization
- Control of partial differential equations
- Algorithms for nonlinear programming with noisy data
- Numerical algorithms for inverse problems
- Shape optimization and level set methods
- Semismooth Newton methods
- MPECs in function spaces
- Image processing
Research Groups
- ECMath
- MATHEON
- START project: Interfaces/Free Boundaries
- SFB Research Center Mathematical Optimization and Applications in Biomedical Sciences (MOBIS)
- Optimal Control and Inverse Problems
Current Projects
Title | Details |
---|---|
Simulation and Control of a Nonsmooth Cahn-Hilliard Navier–Stokes System with Variable Fluid Densities |
SPP1962 project P13 funding: DFG |
Optimal Control of Elliptic and Parabolic Quasi-Variational Inequalities |
SPP1962 project P11 funding: DFG |
Generalized Nash Equilibrium Problems with Partial Differential Operators |
SPP1962 project P10 funding: DFG |
Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models |
SPP1506 project 15 funding: DFG |
Mathematical Modeling, Analysis, and Optimization of Strained Germanium-Microbridges |
ECMath Project OT1 funding: Einstein Foundation |
Optimal design and control of optofluidic solar steerers and concentrators |
ECMath project SE5 funding: Einstein Foundation |
Optimal Network Sensor Placement for Energy Efficiency |
ECMath project SE15 funding: Einstein Foundation |
Free Boundary Problems and Level Set Methods / FREELEVEL |
MATHEON project A-AP24 SFB MOBIS subproject funding: DFG / FWF |
Parameter identification, sensor localization and quantification of uncertainties in switched PDE-systems |
TRR 154 subproject B02 funding: DFG |