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Published in: Optimization and Engineering 2/2015

01-06-2015

On the influence of robustness measures on shape optimization with stochastic uncertainties

Authors: C. Schillings, V. Schulz

Published in: Optimization and Engineering | Issue 2/2015

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Abstract

The unavoidable presence of uncertainties poses several difficulties to the numerical treatment of optimization tasks. In this paper, we discuss a general framework attacking the additional computational complexity of the treatment of uncertainties within optimization problems considering the specific application of optimal aerodynamic design. Appropriate measure of robustness and a proper treatment of constraints to reformulate the underlying deterministic problem are investigated. In order to solve the resulting robust optimization problems, we propose an efficient methodology based on a combination of adaptive uncertainty quantification methods and optimization techniques, in particular generalized one-shot ideas. Numerical results investigating the reliability and efficiency of the proposed method as well as the influence of different robustness measures on the resulting optimized shape will be presented.

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Metadata
Title
On the influence of robustness measures on shape optimization with stochastic uncertainties
Authors
C. Schillings
V. Schulz
Publication date
01-06-2015
Publisher
Springer US
Published in
Optimization and Engineering / Issue 2/2015
Print ISSN: 1389-4420
Electronic ISSN: 1573-2924
DOI
https://doi.org/10.1007/s11081-014-9251-0

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