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Article: A low frequency vector fast multipole algorithm with vector addition theorem
Title | A low frequency vector fast multipole algorithm with vector addition theorem |
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Authors | |
Keywords | Electromagnetics LF-VFMA Loop-tree basis Low frequency Memory saving Surface integral equation Vector addition theorem |
Issue Date | 2010 |
Publisher | Global 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/124669 |
ISSN | 2015 Impact Factor: 1.778 2015 SCImago Journal Rankings: 1.198 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Liu, YG | en_HK |
dc.contributor.author | Chew, WC | en_HK |
dc.date.accessioned | 2010-10-31T10:47:33Z | - |
dc.date.available | 2010-10-31T10:47:33Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | Communications In Computational Physics, 2010, v. 8 n. 5, p. 1183-1207 | en_HK |
dc.identifier.issn | 1815-2406 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/124669 | - |
dc.description.abstract | In 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.language | eng | en_HK |
dc.publisher | Global Science Press. The Journal's web site is located at http://www.global-sci.com/ | en_HK |
dc.relation.ispartof | Communications in Computational Physics | en_HK |
dc.subject | Electromagnetics | en_HK |
dc.subject | LF-VFMA | en_HK |
dc.subject | Loop-tree basis | en_HK |
dc.subject | Low frequency | en_HK |
dc.subject | Memory saving | en_HK |
dc.subject | Surface integral equation | en_HK |
dc.subject | Vector addition theorem | en_HK |
dc.title | A low frequency vector fast multipole algorithm with vector addition theorem | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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.email | Chew, WC: wcchew@hku.hk | en_HK |
dc.identifier.authority | Chew, WC=rp00656 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4208/cicp.071209.240310a | en_HK |
dc.identifier.scopus | eid_2-s2.0-77958539529 | en_HK |
dc.identifier.hkuros | 176311 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77958539529&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 8 | en_HK |
dc.identifier.issue | 5 | en_HK |
dc.identifier.spage | 1183 | en_HK |
dc.identifier.epage | 1207 | en_HK |
dc.identifier.isi | WOS:000284672100009 | - |
dc.publisher.place | Hong Kong | en_HK |
dc.identifier.scopusauthorid | Liu, YG=36600546900 | en_HK |
dc.identifier.scopusauthorid | Chew, WC=36014436300 | en_HK |