Broadly speaking, I investigate control problems that are formulated for so called differential-algebraic equations (DAEs), i.e. systems of equations where the variables have to obey both differential and algebraic relations. Beside from general statements about existence of solutions, I work on formulations that are beneficial for the approximate solution of the problems on the computer.
When it comes to solving complex problems on the computer, models of reduced order - a second research interest of mine - are necessary.
The class of equations, I consider, contain the Navier-Stokes equations that are widely used for modelling and simulating flow phenomena.
Nov 2013 – today
Researcher at Max Planck Institute for Dynamics of Complex Systems in Magdeburg
Oct 09 – Nov 13
Full-time research position at TU Berlin, department of mathematics
Jun 07 – Sep 09
Student Employee: Bombardier Transportation, department of aerodynamics: implementation of an automated approach for shape optimization, wind tunnel testings