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TU Berlin

Inhalt des Dokuments

Interessenschwerpunkte

  • Optimal control of partial differential equations and integral equations
  • Numerical methods and analysis for optimal control problems

Aktuelle Forschungsprojekte

  • With H. Engel: Control of travelling and rotating waves in spatially extended nonlinear systems, Project B6 in SFB 910 at TU Berlin.
  • With R. Schneider: Optimal control of evolution Maxwell equations and low rank approximation, Project D-SE9 in the DFG Research Center Matheon, supported by the Einstein Center ECMath.

Abgeschlossene Forschungsprojekte (Auswahl)

  • With V. Mehrmann: Model reduction and optimal control of fluids (supported by SFB 557, ''Beeinflussung komplexer turbulenter Scherströmungen'')
  • With P. Deuflhard and M. Weiser: Interior point methods for semilinear PDEs (supported by DFG Research Center ''Mathematics for key technologies'', project A1)
  • With J. Sprekels, O. Klein, A. Rösch, C. Meyer: Optimal control of sublimation growth of SiC bulk single crystals (supported by DFG Research Center ''Math. for key technologies'', project C9)
  • With I. Neitzel: Numerical analysis of state-constrained optimal control problems (supported by DFG priority program 1253 ''Optimization with PDEs'')
  • With S. Stingelin, K. Altmann: Optimal Control of Magnetic Fields. Supported by Endress+Hauser Flowtec AG
  • With J. Sprekels, O. Klein, P.E. Druet, I. Yousept, N. Schlömer:
    Simulation and Optimization of Semiconductor Crystal Growth from the Melt Controlled by Traveling Magnetic Fields.
    Supported by DFG Research Center ''Mathematics for key technologies'' , project C9
  • With H. Engel and C. Ryll:
    Optimal Control of Nonlinear Waves in Three-Dimensional Dissipative Active Media, Project B6 in SFB 910 at TU Berlin.
  • With S. Volkwein: A posteriori error estimators for nonlinear optimal control problems with PDE constraints (supported by DFG).

Ausgewählte Themen

  • Optimality conditions and numerical methods for control problems
  • Regularization techniques for state-constrained control problems
  • Error estimates for FEM approximations of optimal control problems
  • Applications to the control of heating processes, electromagnetic fields, and travelling waves

Zusatzinformationen / Extras

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