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

Notes on the connections between shape definition and the objective function landscape
Notes on the connections between shape definition and the objective function landscape
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.
optimal design, shape optimization, geometry design, brachistochrone, modality
Sobester, Andras
096857b0-cad6-45ae-9ae6-e66b8cc5d81b
Sobester, Andras
096857b0-cad6-45ae-9ae6-e66b8cc5d81b

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

Record type: Conference or Workshop Item (Paper)

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.

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More information

Published date: 24 September 2009
Venue - Dates: 2nd International Conference on Advanced Engineering in Mechanical Systems (ADEMS' 09), Cluj-Napoca, Romania, 2009-09-24 - 2009-09-25
Keywords: optimal design, shape optimization, geometry design, brachistochrone, modality

Identifiers

Local EPrints ID: 71606
URI: http://eprints.soton.ac.uk/id/eprint/71606
PURE UUID: c9c3d882-f4df-4ec8-bc57-99c5ad8282f6
ORCID for Andras Sobester: ORCID iD orcid.org/0000-0002-8997-4375

Catalogue record

Date deposited: 17 Dec 2009
Last modified: 14 Mar 2024 02:47

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