The research group on optimal control and inverse problems focuses on the analysis and the numerical treatment of application oriented and applied problems that can be described by partial differential equations.
Optimal control problems arise from the necessity to control and influence the behavior of physical systems by as little external effort as possible. Many physical systems are based on mathematical models involving partial differential equations. Our special interest lies in the control of nonlinear phenomena arising in the control of fluids and in variational methods in image reconstruction, especially in the context of biomedical imaging.
In our work we utilize techniques from numerical mathematics, analysis, optimization and control to contribute to the solution of inverse and optimal control problems both from an applied analysis and an algorithmic perspective.
Most of the current research is carried out within the Spezialforschungsbereich (Special Research Center) Mathematical Optimization and Applications in Biomedical Sciences.