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Article: A low frequency vector fast multipole algorithm with vector addition theorem

TitleA low frequency vector fast multipole algorithm with vector addition theorem
Authors
KeywordsElectromagnetics
LF-VFMA
Loop-tree basis
Low frequency
Memory saving
Surface integral equation
Vector addition theorem
Issue Date2010
PublisherGlobal Science Press. The Journal's web site is located at http://www.global-sci.com/
Citation
Communications In Computational Physics, 2010, v. 8 n. 5, p. 1183-1207 How to Cite?
AbstractIn the low-frequency fast multipole algorithm (LF-FMA) [19, 20], scalar addition theorem has been used to factorize the scalar Green's function. Instead of this traditional factorization of the scalar Green's function by using scalar addition theorem, we adopt the vector addition theorem for the factorization of the dyadic Green's function to realize memory savings. We are to validate this factorization and use it to develop a low-frequency vector fast multipole algorithm (LF-VFMA) for lowfrequency problems. In the calculation of non-near neighbor interactions, the storage of translators in the method is larger than that in the LF-FMA with scalar addition theorem. Fortunately it is independent of the number of unknowns. Meanwhile, the storage of radiation and receiving patterns is linearly dependent on the number of unknowns. Therefore it is worthwhile for large scale problems to reduce the storage of this part. In thismethod, the storage of radiation and receiving patterns can be reduced by 25 percent compared with the LF-FMA. © 2010 Global-Science Press.
Persistent Identifierhttp://hdl.handle.net/10722/124669
ISSN
2015 Impact Factor: 1.778
2015 SCImago Journal Rankings: 1.198
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, YGen_HK
dc.contributor.authorChew, WCen_HK
dc.date.accessioned2010-10-31T10:47:33Z-
dc.date.available2010-10-31T10:47:33Z-
dc.date.issued2010en_HK
dc.identifier.citationCommunications In Computational Physics, 2010, v. 8 n. 5, p. 1183-1207en_HK
dc.identifier.issn1815-2406en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124669-
dc.description.abstractIn the low-frequency fast multipole algorithm (LF-FMA) [19, 20], scalar addition theorem has been used to factorize the scalar Green's function. Instead of this traditional factorization of the scalar Green's function by using scalar addition theorem, we adopt the vector addition theorem for the factorization of the dyadic Green's function to realize memory savings. We are to validate this factorization and use it to develop a low-frequency vector fast multipole algorithm (LF-VFMA) for lowfrequency problems. In the calculation of non-near neighbor interactions, the storage of translators in the method is larger than that in the LF-FMA with scalar addition theorem. Fortunately it is independent of the number of unknowns. Meanwhile, the storage of radiation and receiving patterns is linearly dependent on the number of unknowns. Therefore it is worthwhile for large scale problems to reduce the storage of this part. In thismethod, the storage of radiation and receiving patterns can be reduced by 25 percent compared with the LF-FMA. © 2010 Global-Science Press.en_HK
dc.languageengen_HK
dc.publisherGlobal Science Press. The Journal's web site is located at http://www.global-sci.com/en_HK
dc.relation.ispartofCommunications in Computational Physicsen_HK
dc.subjectElectromagneticsen_HK
dc.subjectLF-VFMAen_HK
dc.subjectLoop-tree basisen_HK
dc.subjectLow frequencyen_HK
dc.subjectMemory savingen_HK
dc.subjectSurface integral equationen_HK
dc.subjectVector addition theoremen_HK
dc.titleA low frequency vector fast multipole algorithm with vector addition theoremen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1815-2406&volume=8&issue=5&spage=1183&epage=1207&date=2010&atitle=A+low+frequency+vector+fast+multipole+algorithm+with+vector+addition+theorem A+Low+Frequency+Vector+Fast+Multipole+Algorithm+with+Vector+Addition+Theorem-
dc.identifier.emailChew, WC: wcchew@hku.hken_HK
dc.identifier.authorityChew, WC=rp00656en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.4208/cicp.071209.240310aen_HK
dc.identifier.scopuseid_2-s2.0-77958539529en_HK
dc.identifier.hkuros176311en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77958539529&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume8en_HK
dc.identifier.issue5en_HK
dc.identifier.spage1183en_HK
dc.identifier.epage1207en_HK
dc.identifier.isiWOS:000284672100009-
dc.publisher.placeHong Kongen_HK
dc.identifier.scopusauthoridLiu, YG=36600546900en_HK
dc.identifier.scopusauthoridChew, WC=36014436300en_HK

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