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Article: Multilevel fast multipole acceleration in the Nystrm discretization of surface electromagnetic integral equations for composite objects

TitleMultilevel fast multipole acceleration in the Nystrm discretization of surface electromagnetic integral equations for composite objects
Authors
KeywordsElectromagnetic Scattering
Multilevel Fast Multipole Algorithm
Nystrm Discretization
Surface Integral Equations
Issue Date2010
Citation
Ieee Transactions On Antennas And Propagation, 2010, v. 58 n. 10, p. 3411-3416 How to Cite?
AbstractThe multilevel fast multipole algorithm (MLFMA) based on the Nystrm discretization of surface integral equations (SIEs) is developed for solving electromagnetic (EM) scattering by large composite objects. Traditionally, the MLFMA is based on the method of moments (MoM) discretization for the SIEs and it usually works well when the robust Rao-Wilton-Glisson (RWG) basis function is enough to represent unknown currents. However, the RWG basis function may not represent both the electric and magnetic current in solving the electric field integral equation (EFIE) and magnetic field integral equation (MFIE) for penetrable objects, and how one represents another current could be a problem in the MoM. In this work, we use the Nystrm method as a tool to discretize the SIEs and incorporate the MLFMA to accelerate the solutions for electrically large problems. The advantages of the Nystrm discretization include the simple mechanism of implementation, lower requirements on mesh quality, and no use of basis and testing functions. These benefits are particularly desired in the MLFMA because the solved problems are very large and complex in general. Numerical examples are presented to demonstrate the effectiveness of the proposed scheme. © 2010 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182775
ISSN
2015 Impact Factor: 2.053
2015 SCImago Journal Rankings: 2.130
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, MSen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:48Z-
dc.date.available2013-05-02T05:16:48Z-
dc.date.issued2010en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2010, v. 58 n. 10, p. 3411-3416en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182775-
dc.description.abstractThe multilevel fast multipole algorithm (MLFMA) based on the Nystrm discretization of surface integral equations (SIEs) is developed for solving electromagnetic (EM) scattering by large composite objects. Traditionally, the MLFMA is based on the method of moments (MoM) discretization for the SIEs and it usually works well when the robust Rao-Wilton-Glisson (RWG) basis function is enough to represent unknown currents. However, the RWG basis function may not represent both the electric and magnetic current in solving the electric field integral equation (EFIE) and magnetic field integral equation (MFIE) for penetrable objects, and how one represents another current could be a problem in the MoM. In this work, we use the Nystrm method as a tool to discretize the SIEs and incorporate the MLFMA to accelerate the solutions for electrically large problems. The advantages of the Nystrm discretization include the simple mechanism of implementation, lower requirements on mesh quality, and no use of basis and testing functions. These benefits are particularly desired in the MLFMA because the solved problems are very large and complex in general. Numerical examples are presented to demonstrate the effectiveness of the proposed scheme. © 2010 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectElectromagnetic Scatteringen_US
dc.subjectMultilevel Fast Multipole Algorithmen_US
dc.subjectNystrm Discretizationen_US
dc.subjectSurface Integral Equationsen_US
dc.titleMultilevel fast multipole acceleration in the Nystrm discretization of surface electromagnetic integral equations for composite objectsen_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.doi10.1109/TAP.2010.2055809en_US
dc.identifier.scopuseid_2-s2.0-77957803550en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77957803550&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume58en_US
dc.identifier.issue10en_US
dc.identifier.spage3411en_US
dc.identifier.epage3416en_US
dc.identifier.isiWOS:000283364300039-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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