File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: A memory saving fast A-EFIE solver for modeling low-frequency large-scale problems?

TitleA memory saving fast A-EFIE solver for modeling low-frequency large-scale problems?
Authors
KeywordsAugmented electric field integral equation
Low frequency
Memory savings
Vector addition theorem
Vector fast multipole algorithm
Issue Date2012
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/apnum
Citation
Applied Numerical Mathematics, 2012, v. 62 n. 6, p. 682-698 How to Cite?
AbstractWe propose a new fast solver for solving the augmented electric field integral equation (A-EFIE), which realizes memory savings for modeling low-frequency large-scale problems, compared with the low-frequency fast multipole algorithm (LF-FMA). The A-EFIE has been proposed to avoid the imbalance between the vector potential and the scalar potential at low frequencies by adding the charge to the unknown list. The corresponding low frequency fast multipole algorithm (LF-FMA) was also developed for solving the A-EFIE. Instead of the factorization of the scalar Green's function by using the scalar addition theorem in the LF-FMA, we adopt the vector addition theorem for the factorization of the dyadic Green's function to develop a vector fast multipole algorithm (VFMA) for solving the A-EFIE. The storage of radiation and receiving patterns of the VFMA, which becomes the main part of the total storage with the increasing scale of problems, can be reduced by 25 percent compared with that of the LF-FMA, although the storage for vector translators, which is independent of the number of unknowns, is larger than that of the LF-FMA. At last, some numerical results show the validity of the VFMA for solving A-EFIE. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/139278
ISSN
2015 Impact Factor: 1.414
2015 SCImago Journal Rankings: 1.254
ISI Accession Number ID
Funding AgencyGrant Number
GRF711508
711609
Funding Information:

This work was supported by GRF grants: RGC Ref Nos. 711508 and 711609.

References

 

DC FieldValueLanguage
dc.contributor.authorLiu, YGen_HK
dc.contributor.authorChew, WCen_HK
dc.contributor.authorJiang, Len_HK
dc.contributor.authorQian, Zen_HK
dc.date.accessioned2011-09-23T05:47:50Z-
dc.date.available2011-09-23T05:47:50Z-
dc.date.issued2012en_HK
dc.identifier.citationApplied Numerical Mathematics, 2012, v. 62 n. 6, p. 682-698en_HK
dc.identifier.issn0168-9274en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139278-
dc.description.abstractWe propose a new fast solver for solving the augmented electric field integral equation (A-EFIE), which realizes memory savings for modeling low-frequency large-scale problems, compared with the low-frequency fast multipole algorithm (LF-FMA). The A-EFIE has been proposed to avoid the imbalance between the vector potential and the scalar potential at low frequencies by adding the charge to the unknown list. The corresponding low frequency fast multipole algorithm (LF-FMA) was also developed for solving the A-EFIE. Instead of the factorization of the scalar Green's function by using the scalar addition theorem in the LF-FMA, we adopt the vector addition theorem for the factorization of the dyadic Green's function to develop a vector fast multipole algorithm (VFMA) for solving the A-EFIE. The storage of radiation and receiving patterns of the VFMA, which becomes the main part of the total storage with the increasing scale of problems, can be reduced by 25 percent compared with that of the LF-FMA, although the storage for vector translators, which is independent of the number of unknowns, is larger than that of the LF-FMA. At last, some numerical results show the validity of the VFMA for solving A-EFIE. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.en_HK
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/apnumen_HK
dc.relation.ispartofApplied Numerical Mathematicsen_HK
dc.subjectAugmented electric field integral equationen_HK
dc.subjectLow frequencyen_HK
dc.subjectMemory savingsen_HK
dc.subjectVector addition theoremen_HK
dc.subjectVector fast multipole algorithmen_HK
dc.titleA memory saving fast A-EFIE solver for modeling low-frequency large-scale problems?en_HK
dc.typeArticleen_HK
dc.identifier.emailChew, WC: wcchew@hku.hken_HK
dc.identifier.emailJiang, L: jianglj@hku.hken_HK
dc.identifier.authorityChew, WC=rp00656en_HK
dc.identifier.authorityJiang, L=rp01338en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.apnum.2010.11.012en_HK
dc.identifier.scopuseid_2-s2.0-84859749448en_HK
dc.identifier.hkuros195263en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84859749448&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume62en_HK
dc.identifier.issue6en_HK
dc.identifier.spage682en_HK
dc.identifier.epage698en_HK
dc.identifier.eissn1873-5460-
dc.identifier.isiWOS:000303265000003-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLiu, YG=36600546900en_HK
dc.identifier.scopusauthoridChew, WC=36014436300en_HK
dc.identifier.scopusauthoridJiang, L=36077777200en_HK
dc.identifier.scopusauthoridQian, Z=9043842600en_HK
dc.identifier.citeulike8377946-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats