An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities

Qi I. Dai; Yat Hei Lo; Lijun Jiang; Weng Cho Chew

doi:10.1109/APS.2013.6711113

An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities

Qi I. Dai, Yat Hei Lo, Lijun Jiang, Weng Cho Chew

Electrical and Computer Engineering

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

Abstract

An efficient preconditioning scheme for the eigenanalysis of inhomogeneously loaded rectangular cavities is presented. Such structures are modeled with the finite-difference frequency-domain (FDFD) method, while the desired interior eigen-spectra are sought for by Arnoldi iterations with the shiftand-invert operation. In large scale problems, the inversion can only be performed iteratively. A preconditioner is constructed in order to accelerate the inversion. It can effectively shrink the spectrum of the governing matrix, and can be solved for by using fast discrete sine and cosine transforms (DST's and DCT's). The efficiency of this scheme is demonstrated by several numerical examples.

Original language	English (US)
Title of host publication	2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings
Pages	908-909
Number of pages	2
DOIs	https://doi.org/10.1109/APS.2013.6711113
State	Published - 2013
Event	2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Orlando, FL, United States Duration: Jul 7 2013 → Jul 13 2013

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Other

Other	2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013
Country/Territory	United States
City	Orlando, FL
Period	7/7/13 → 7/13/13

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/APS.2013.6711113

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Dai, Q. I., Lo, Y. H., Jiang, L., & Chew, W. C. (2013). An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities. In 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings (pp. 908-909). [6711113] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). https://doi.org/10.1109/APS.2013.6711113

An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities. / Dai, Qi I.; Lo, Yat Hei; Jiang, Lijun et al.

2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings. 2013. p. 908-909 6711113 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

Dai, QI, Lo, YH, Jiang, L & Chew, WC 2013, An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities. in 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings., 6711113, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 908-909, 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013, Orlando, FL, United States, 7/7/13. https://doi.org/10.1109/APS.2013.6711113

Dai QI, Lo YH, Jiang L, Chew WC. An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities. In 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings. 2013. p. 908-909. 6711113. (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). doi: 10.1109/APS.2013.6711113

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abstract = "An efficient preconditioning scheme for the eigenanalysis of inhomogeneously loaded rectangular cavities is presented. Such structures are modeled with the finite-difference frequency-domain (FDFD) method, while the desired interior eigen-spectra are sought for by Arnoldi iterations with the shiftand-invert operation. In large scale problems, the inversion can only be performed iteratively. A preconditioner is constructed in order to accelerate the inversion. It can effectively shrink the spectrum of the governing matrix, and can be solved for by using fast discrete sine and cosine transforms (DST's and DCT's). The efficiency of this scheme is demonstrated by several numerical examples.",

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An efficient preconditioning scheme for eigenanalysis of inhomogeneously loaded rectangular cavities

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