Research Topic

Adaptive Multilevel SQP-Methods for PDAE-Constrained Optimal Control Problems

The goal of this project is to develop, analyze and apply highly efficient optimization methods for optimal control problems with control- and state constraints governed by time dependent partial differential algebraic equations (PDAEs). We combine in a modular way the state of the art software package KARDOS with modern multilevel second order optimization methods. The essential first and second order derivative information is determined by the continous adjoint approach. The resulting correlated PDAEs are solved with KARDOS using adaptive Rosenbrock methods for the time integration and adaptive multilevel finite elements in space. Appropriate error estimates are derived to additionally control the mesh refinement according to the optimization advancement such that most of the optimization can be carried out on comparably cheap grids. The results are applied to the real engineering optimal control problem of glass cooling elaborately modeled by radiative heat transfer.

Recent Results

Key Research Area

Numerical Analysis, Optimal Control

Supervisors

J. Lang, Mathematics, Numerical Analysis
A. Sadiki, Mechanical Engineering
S. Ulbrich, Mathematics, Optimization

Contact

Debora Clever
Dipl.-Math.

Technische Universit├Ąt Darmstadt

Fachbereich Mathematik

AG Numerik und wiss. Rechnen

Dolivostr. 15

64293 Darmstadt

 

Raum: S4 10/103

E-Mail: clever (at) mathematik.tu-...

Tel.: +49 (0)6151 16-2085

Fax: +49 (0)6151 16-2747

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