The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
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new  Progress Report for the period 2003 - 2007

Abstract


Thickness optimization of a frame.


Shape optimization of an electromagnet.


3D topology optimization of a cantilever beam.


2D topology optimization of a beam with local stress constraints.

The subject of this project is the development, analysis and implementation of numerically efficient algorithms for solving optimal design problems. Our approach aims at a uniform algorithm involving both, direct simulation and optimization. The application of hierarchical methods seems to be the right approach if optimal algorithms are sought. Nested algorithms similar to nested Newton iterations in the nonlinear case allow only a few iterations on finer grids wheras most of the iterations are realized on coarser grids where the solution of the direct problem is cheap. Additionally, optimal design problems cause the need for handling parameter-dependent geometries. Furthermore, adaptive strategies based on error estimated should be applied in order to reduce the total complexity of the discrete problems.

Objectives

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Principal Investigator
Prof. Dr. Ulrich Langer 9168  mail

Co-Investigators
Prof. Dr. Heinz W. Engl 9219  mail
Ass.-Prof. Dr. Ewald Lindner 9165  mail

Scientific Staff
Dipl.-Tech.-Math. René  Simon 7178  mail

Publications

List of Publications.

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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund