Nonsmooth Optimization of Eigenvalues in Topology Optimization

K. Moritzen ()
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K. Moritzen: University of Dortmund, Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1023-1030 from Springer

Abstract: Abstract During the last decade, topology optimization has become an important branch in engineering sciences, e.g., to save material or to optimize the heat distribution inside a structure. The modelling of a certain class of such problems (e.g. vibration analysis) leads to the optimization of suitable functions defined on the set of all eigenvalues of the corresponding differential operator. The resulting optimization problems are typically nonsmooth and require adequate nonsmooth optimization techniques. In this article an approach for the treatment of a typical class of eigenvalue optimization problems based on a nonsmooth bundle method is considered, and a mathematical framework for its analysis is developed.

Keywords: Topology Optimization; Sequential Quadratic Programming; Nonsmooth Analysis; Nonsmooth Optimization; Bundle Method (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_102

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DOI: 10.1007/978-3-540-34288-5_102

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