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TU Berlin

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Main interests

  • Optimal control of partial differential equations and integral equations
  • Numerical analysis of optimal control problems
  • Theory of mathematical programming problems in Banach spaces

Current Research Projects

  • With J. Sprekels, O. Klein, P.E. Druet, I. Yousept:
    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 S. Stingelin, K. Altmann:
    Optimal Control of Magnetic Fields. Supported by Endress+Hauser Flowtec AG

Finished Research Projects (Selection)

  • (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) Optimal control of sublimation growth of SiC bulk single crystals (supported by DFG Research Center ''Math. for key technologies'', project C9)
  • Numerical analysis of state-constrained optimal control problems (supported by DFG priority program 1253 ''Optimization with PDEs'')

Selected Topics

  • 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 different types of heating problems

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