Space-Mapping-Based Interpolation for Engineering Optimization

Slawomir Koziel; John W. Bandler; Kaj Madsen

doi:10.1109/TMTT.2006.875298

Space-Mapping-Based Interpolation for Engineering Optimization

Slawomir Koziel, John W. Bandler, Kaj Madsen

Department of Engineering

Reykjavik University

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a simple and efficient space mapping (SM)-based interpolation scheme to work in conjunction with SM optimization algorithms. The technique is useful if the fine model (the one that is supposed to be optimized) is available only on a structured grid. It allows us to estimate the response of the fine model at off-grid points and, as a result, increases the effective resolution of the design variable domain search and improves the quality of the fine model solution found by the SM optimization algorithm. The proposed method requires little computational effort. In particular, no additional fine model evaluations are necessary. Several examples that verify the accuracy and robustness of our approach are provided.

Original language	English
Pages (from-to)	2410-2421
Number of pages	12
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	54
Issue number	6
DOIs	https://doi.org/10.1109/TMTT.2006.875298
Publication status	Published - 6 Jun 2006

Bibliographical note

Funding Information: Manuscript received November 28, 2005; revised February 20, 2006. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007239 and Grant STGP269889 and in part by Bandler Corporation.

Other keywords

Engineering optimization
SM optimization
microwave design
off-grid interpolation
space mapping (SM)

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10.1109/TMTT.2006.875298

Cite this

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title = "Space-Mapping-Based Interpolation for Engineering Optimization",

abstract = "We consider a simple and efficient space mapping (SM)-based interpolation scheme to work in conjunction with SM optimization algorithms. The technique is useful if the fine model (the one that is supposed to be optimized) is available only on a structured grid. It allows us to estimate the response of the fine model at off-grid points and, as a result, increases the effective resolution of the design variable domain search and improves the quality of the fine model solution found by the SM optimization algorithm. The proposed method requires little computational effort. In particular, no additional fine model evaluations are necessary. Several examples that verify the accuracy and robustness of our approach are provided.",

keywords = "Engineering optimization, SM optimization, microwave design, off-grid interpolation, space mapping (SM)",

author = "Slawomir Koziel and Bandler, \{John W.\} and Kaj Madsen",

note = "Funding Information: Manuscript received November 28, 2005; revised February 20, 2006. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007239 and Grant STGP269889 and in part by Bandler Corporation.",

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AU - Bandler, John W.

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N2 - We consider a simple and efficient space mapping (SM)-based interpolation scheme to work in conjunction with SM optimization algorithms. The technique is useful if the fine model (the one that is supposed to be optimized) is available only on a structured grid. It allows us to estimate the response of the fine model at off-grid points and, as a result, increases the effective resolution of the design variable domain search and improves the quality of the fine model solution found by the SM optimization algorithm. The proposed method requires little computational effort. In particular, no additional fine model evaluations are necessary. Several examples that verify the accuracy and robustness of our approach are provided.

AB - We consider a simple and efficient space mapping (SM)-based interpolation scheme to work in conjunction with SM optimization algorithms. The technique is useful if the fine model (the one that is supposed to be optimized) is available only on a structured grid. It allows us to estimate the response of the fine model at off-grid points and, as a result, increases the effective resolution of the design variable domain search and improves the quality of the fine model solution found by the SM optimization algorithm. The proposed method requires little computational effort. In particular, no additional fine model evaluations are necessary. Several examples that verify the accuracy and robustness of our approach are provided.

KW - Engineering optimization

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KW - microwave design

KW - off-grid interpolation

KW - space mapping (SM)

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JF - IEEE Transactions on Microwave Theory and Techniques

IS - 6

ER -

Space-Mapping-Based Interpolation for Engineering Optimization

Abstract

Bibliographical note

Other keywords

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