DFG
FAU Erlangen-Nuremberg

Optimal design with bounded retardation for problems with nonseparable adjoints

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Project leaders

Department of Mathematics - CCES
RWTH Aachen
Schinkelstr. 2
52062 Aachen

phone: 0241 80-98660
fax: 0241 80-92600

email: gauger@mathcces.rwth-aachen.de


Institut für Mathematik
Humboldt-Universität zu Berlin

Tel: 030 2093-5820
Tel: 030 2093-5833 (kerger@mathematik.hu-berlin.de) (Sekr.)
Fax: 030 2093-5859

Email: griewank@mathematik.hu-berlin.de

Homepage:



Institut für Informatik
Christian-Albrechts-Universität zu Kiel
24098 Kiel

phone: 0431 880-4490
phone: 0431 880-4461 (secr.)
fax: 0431 880-7618

Email: ts@informatik.uni-kiel.de

Homepage: www.informatik.uni-kiel.de/co2

DFG funded assistants

Torsten Bosse (HU Berlin)
bosse@math.hu-berlin.de

Anil Nemili (RWTH Aachen)
Nemili@mathcces.rwth-aachen.de


Description

We study mathematical methods and algorithmic techniques for the transition from sim- ulation to optimization. We focus on applications in aerodynamics and climate studies. The methodology is applicable to all areas of scientific computing, where large scale PDEs are treated by fixed point solvers. To exploit the domain specific experience and expertise invested in these simulation tools we extend them in a semi-automated fashion. The optimization steps are determined by a design space preconditioner. A principle of bounded retardation of the convergence rate can be achieved. On a classical example this factor can be determined explicitly. We plan to extend these theoretical results to problems where the adjoint equation is no longer the sum of a term on the states and the design. Such non- separability arises typically when the design variables enter in a truly nonlinear fashion, especially in shape optimization, parameter optimization, and on non-stationary problems to which our methods are already applied successfully.

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