<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper presents a comparative study between a large number of different existing sequential quadrature schemes suitable for Robust Design Optimization (RDO), with the inclusion of two partly original approaches. Efficiency of the different integration strategies is evaluated in terms of accuracy and computational effort: main goal of this paper is the identification of an integration strategy able to provide the integral value with a prescribed accuracy using a limited number of function samples. Identification of the different qualities of the various integration schemes is obtained utilizing both algebraic and practical test cases. Differences in the computational effort needed by the different schemes is evidenced, and the implications on their application to practical RDO problems is highlighted.</p></abstract>

This paper presents a comparative study between a large number of different existing sequential quadrature schemes suitable for Robust Design Optimization (RDO), with the inclusion of two partly original approaches. Efficiency of the different integration strategies is evaluated in terms of accuracy and computational effort: main goal of this paper is the identification of an integration strategy able to provide the integral value with a prescribed accuracy using a limited number of function samples. Identification of the different qualities of the various integration schemes is obtained utilizing both algebraic and practical test cases. Differences in the computational effort needed by the different schemes is evidenced, and the implications on their application to practical RDO problems is highlighted.

Sequential quadrature methods for RDO

CNR-IAC - National Research Council - Istituto per le Applicazioni del Calcolo ”Mauro Picone”, Rome, Italy

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Sequential quadrature methods for RDO"}

This paper presents a comparative study between a large number of different existing sequential quadrature schemes suitable for Robust Design Optimization...

Sequential quadrature methods for RDO

Published Online: May 20, 2016

Page range: 23 - 47

Received: Nov 11, 2014

Accepted: Oct 12, 2015

DOI: https://doi.org/10.1515/caim-2016-0017

Keywords
Quadrature schemes, Robust Design Optimization, Industrial Design

© 2016 Daniele Peri, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Sequential quadrature methods for RDO

Published Online: May 20, 2016

Page range: 23 - 47

Received: Nov 11, 2014

Accepted: Oct 12, 2015

DOI: https://doi.org/10.1515/caim-2016-0017

KeywordsQuadrature schemes, Robust Design Optimization, Industrial Design

© 2016 Daniele Peri, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Quadrature schemes, Robust Design Optimization, Industrial Design