Repository: Freie Universit├Ąt Berlin, Math Department

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

Schillings, Claudia and Schulz, Volker (2014) On the influence of robustness measures on shape optimization with stochastic uncertainties. Optimization and Engineering, 16 . pp. 347-386. ISSN 1573-2924; Print 1389-4420

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Official URL: https://www.springer.com/journal/11081/

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.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Deterministic and Stochastic PDEs Group
ID Code:3002
Deposited By: Ulrike Eickers
Deposited On:08 Jun 2023 09:29
Last Modified:08 Jun 2023 09:29

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