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Article: Applying matrix rotation to the three-dimensional low-frequency multilevel fast multipole algorithm

TitleApplying matrix rotation to the three-dimensional low-frequency multilevel fast multipole algorithm
Authors
Issue Date2000
PublisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37176
Citation
Microwave And Optical Technology Letters, 2000, v. 26 n. 2, p. 105-110 How to Cite?
AbstractThe matrix rotation technique is applied to the three-dimensional (3-D) multilevel fast multipole algorithm (MLFMA) at very low frequencies (LF) to save the storage without increasing the order of the floating-point operations. Some symmetrical properties of the translation matrices along the z-direction for the 3-D LF-MLFMA and the static MLFMA are also derived to further reduce the memory requirements. Numerical results shown that the order of errors introduced by the matrix rotation is much smaller than the order of errors from the plain LF-MLFMA or plain static MLFMA. The implementation of the matrix rotation technique does not change the precision order of the LF-MLFMA and the static MLFMA for fixed truncation of multipole expansions.
Persistent Identifierhttp://hdl.handle.net/10722/182626
ISSN
2015 Impact Factor: 0.545
2015 SCImago Journal Rankings: 0.372
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhao, JSen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:10Z-
dc.date.available2013-05-02T05:16:10Z-
dc.date.issued2000en_US
dc.identifier.citationMicrowave And Optical Technology Letters, 2000, v. 26 n. 2, p. 105-110en_US
dc.identifier.issn0895-2477en_US
dc.identifier.urihttp://hdl.handle.net/10722/182626-
dc.description.abstractThe matrix rotation technique is applied to the three-dimensional (3-D) multilevel fast multipole algorithm (MLFMA) at very low frequencies (LF) to save the storage without increasing the order of the floating-point operations. Some symmetrical properties of the translation matrices along the z-direction for the 3-D LF-MLFMA and the static MLFMA are also derived to further reduce the memory requirements. Numerical results shown that the order of errors introduced by the matrix rotation is much smaller than the order of errors from the plain LF-MLFMA or plain static MLFMA. The implementation of the matrix rotation technique does not change the precision order of the LF-MLFMA and the static MLFMA for fixed truncation of multipole expansions.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/37176en_US
dc.relation.ispartofMicrowave and Optical Technology Lettersen_US
dc.titleApplying matrix rotation to the three-dimensional low-frequency multilevel fast multipole algorithmen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/1098-2760(20000720)26:2<105::AID-MOP11>3.0.CO;2-Wen_US
dc.identifier.scopuseid_2-s2.0-0033689716en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033689716&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume26en_US
dc.identifier.issue2en_US
dc.identifier.spage105en_US
dc.identifier.epage110en_US
dc.identifier.isiWOS:000087764700011-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridZhao, JS=7410309451en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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