Notes on the connections between shape definition and the objective function landscape


Sobester, Andras (2009) Notes on the connections between shape definition and the objective function landscape. In, 2nd International Conference on Advanced Engineering in Mechanical Systems (ADEMS' 09), Cluj-Napoca, Romania, 24 - 25 Sep 2009. 4pp.

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Description/Abstract

The key to effective shape optimization is the selection of the appropriate mathematical formulation for the parametric description of the geometry of the artifact being optimized. It is widely understood that a good parameterization scheme is concise, mathematically well-posed, robust and flexible. What is less clear, however, is the way in which the choice of parameterization approach influences the features of the resulting objective function landscape. In this article we examine the issue through a simple, four-variable design problem. Key words: optimal design, shape optimization, geometry design, brachistochrone, modality.

Item Type: Conference or Workshop Item (Paper)
Keywords: optimal design, shape optimization, geometry design, brachistochrone, modality
Subjects: T Technology > TJ Mechanical engineering and machinery
Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID: 71606
Date Deposited: 17 Dec 2009
Last Modified: 27 Mar 2014 18:51
URI: http://eprints.soton.ac.uk/id/eprint/71606

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