DFG
FAU Erlangen-Nuremberg

Numerical Analysis of State-Constrained Optimal Control Problems for PDEs

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Project leader

Institut für Mathematik
TU Berlin

Tel: 030 31479-688
Fax: 030 314-79-688

Email: troeltzsch@math.tu-berlin.de

Homepage:

DFG funded assistant

Ira Neitzel (TU Berlin)
neitzel@math.tu-berlin.de


Description

  • Optimal control of nonlinear systems of PDEs with state constraints
  • Focus on semi-linear parabolic boundary control problems
  • Regularization techniques of Lavrentiev-type
  • Semi-infinite optimization

The project is a contribution to the optimal control of nonlinear systems of PDEs with pointwise state-constraints. The work is focussed on two aspects of associated numerical methods and their analysis. In a first topic, regularization techniques of Lavrentiev type will be studied to solve state-constrained problems. Exemplarily, special emphasis is placed on semilinear parabolic equations with boundary control and state constraints in the domain. A second part of the project is devoted to the case where the controls are given by a linear combination of finitely many ansatz functions, where the coefficients are constant or may depend on time. This situation is characteristic for many applications in practice and leads to semi-infinite optimization problems.

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