DFG
FAU Erlangen-Nuremberg

Adaptive Multilevel SQP-Methods for PDAE-Constrained Optimization with Restrictions on Control and State. Theory and Applications

From DFG-SPP 1253

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Project leaders

Department of Mathematics
TU Darmstadt

Tel: 06151 16-2389
Fax: 06151 16-3954

Email: lang@mathematik.tu-darmstadt.de

Homepage:


FB Mathematik, AG10
TU Darmstadt

Tel: 06151 16-2487
Fax: 06151 16-3185

Email: ulbrich@mathematik.tu-darmstadt.de

Homepage:

DFG funded assistants

Debora Clever (TU Darmstadt)
clever@mathematik.tu-darmstadt.de

Dr. Jan Carsten Ziems (TU Darmstadt)
ziems@mathematik.tu-darmstadt.de

Description

The aim 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 PDAEs. To this end we want to combine in a modular way modern space-time adaptive multilevel finite elements methods with linearly implicit time integrators of higher order for time-dependent PDAEs and modern multilevel optimization techniques. The aim is to reduce the computational costs for the optimization process to the costs of only a few state solves. This can only be achieved by controlling the accuracy of the PDAE state solver and adjoint solver adaptively in such a way that most of the optimization iterations are performed on comparably cheap discretizations of the PDAE. We will focus on two exemplary applications.

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