Application of the reduced basis method to ID quasi-periodic array modeling

Maokun Li; Xunwang Dang; Fan Yang; Shenheng Xu; Weng Cho Chew

doi:10.1109/ROPACES.2016.7465347

Application of the reduced basis method to ID quasi-periodic array modeling

Maokun Li, Xunwang Dang, Fan Yang, Shenheng Xu, Weng Cho Chew

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The reduced basis method is a model-order reduction technique that converts the original system equations into smaller ones using a reduced basis set. This basis set is usually derived from a set of solutions of the system equation with different values of control parameters. If the system model changes affinely with the parameter values, a reduced-order model can be derived. In this abstract, we apply the reduced basis method to method of moments for quasi-periodic array modeling. With this method, a new basis set for a single element is constructed through an offline process. Because of the similarities among elements, the number of basis functions for each element can be much less than directing modeling from geometrical mesh. Numerical example shows that both the computational and memory efficiency is improved compared with direct modeling using method of moments.

Original language	English (US)
Title of host publication	2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509012596
DOIs	https://doi.org/10.1109/ROPACES.2016.7465347
State	Published - May 4 2016
Event	IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Honolulu, United States Duration: Mar 13 2016 → Mar 17 2016

Publication series

Name	2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings

Other

Other	IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016
Country/Territory	United States
City	Honolulu
Period	3/13/16 → 3/17/16

ASJC Scopus subject areas

Computational Mathematics
Signal Processing
Instrumentation
Computer Networks and Communications

Online availability

10.1109/ROPACES.2016.7465347

Library availability

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Cite this

Li, M., Dang, X., Yang, F., Xu, S., & Chew, W. C. (2016). Application of the reduced basis method to ID quasi-periodic array modeling. In 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings Article 7465347 (2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ROPACES.2016.7465347

Application of the reduced basis method to ID quasi-periodic array modeling. / Li, Maokun; Dang, Xunwang; Yang, Fan et al.
2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. 7465347 (2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Li, M, Dang, X, Yang, F, Xu, S & Chew, WC 2016, Application of the reduced basis method to ID quasi-periodic array modeling. in 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings., 7465347, 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings, Institute of Electrical and Electronics Engineers Inc., IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016, Honolulu, United States, 3/13/16. https://doi.org/10.1109/ROPACES.2016.7465347

Li M, Dang X, Yang F, Xu S, Chew WC. Application of the reduced basis method to ID quasi-periodic array modeling. In 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2016. 7465347. (2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings). doi: 10.1109/ROPACES.2016.7465347

Li, Maokun ; Dang, Xunwang ; Yang, Fan et al. / Application of the reduced basis method to ID quasi-periodic array modeling. 2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. (2016 IEEE/ACES International Conference on Wireless Information Technology, ICWITS 2016 and System and Applied Computational Electromagnetics, ACES 2016 - Proceedings).

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abstract = "The reduced basis method is a model-order reduction technique that converts the original system equations into smaller ones using a reduced basis set. This basis set is usually derived from a set of solutions of the system equation with different values of control parameters. If the system model changes affinely with the parameter values, a reduced-order model can be derived. In this abstract, we apply the reduced basis method to method of moments for quasi-periodic array modeling. With this method, a new basis set for a single element is constructed through an offline process. Because of the similarities among elements, the number of basis functions for each element can be much less than directing modeling from geometrical mesh. Numerical example shows that both the computational and memory efficiency is improved compared with direct modeling using method of moments.",

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Application of the reduced basis method to ID quasi-periodic array modeling

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