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Article: On preconditioning and the eigensystems of electromagnetic radiation problems

TitleOn preconditioning and the eigensystems of electromagnetic radiation problems
Authors
Hesford, AJChew, WC
KeywordsElectromagnetic Radiation
Fast Solvers
Iterative Methods
Moment Methods
Preconditioner
Issue Date2008
Citation
Ieee Transactions On Antennas And Propagation, 2008, v. 56 n. 8 I, p. 2413-2420 How to Cite?
DOI: http://dx.doi.org/10.1109/TAP.2008.926783
AbstractA formulation of the Method of Moments (MoM) impedance matrix is presented that facilitates discussion of the behavior of its eigenvalues and eigenvectors. This provides insight into the difficulties of producing iterative solutions to electromagnetic radiation problems, which typically involve nonuniform meshes. Based on this analysis, a localized self-box inclusion (SBI) preconditioner is developed to overcome the aforementioned issues. Numerical results are shown using a parallel multilevel fast multipole algorithm (MLFMA) library, coupled with an implementation of the SBI preconditioner. Using these parallel libraries allows the solution of very large problems, due to both excessive size and poor conditioning. A model of an XM antenna, mounted atop an automobile above a very large ground plane, establishes the effectiveness of these methods for more than 3.5 million unknowns. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/182750
ISSN
0018-926X
2023 Impact Factor: 4.6
2023 SCImago Journal Rankings: 1.794
ISI Accession Number ID
WOS:000258373000026
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHesford, AJen_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:16:42Z-
dc.date.available2013-05-02T05:16:42Z-
dc.date.issued2008en_US
dc.identifier.citationIeee Transactions On Antennas And Propagation, 2008, v. 56 n. 8 I, p. 2413-2420en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/182750-
dc.description.abstractA formulation of the Method of Moments (MoM) impedance matrix is presented that facilitates discussion of the behavior of its eigenvalues and eigenvectors. This provides insight into the difficulties of producing iterative solutions to electromagnetic radiation problems, which typically involve nonuniform meshes. Based on this analysis, a localized self-box inclusion (SBI) preconditioner is developed to overcome the aforementioned issues. Numerical results are shown using a parallel multilevel fast multipole algorithm (MLFMA) library, coupled with an implementation of the SBI preconditioner. Using these parallel libraries allows the solution of very large problems, due to both excessive size and poor conditioning. A model of an XM antenna, mounted atop an automobile above a very large ground plane, establishes the effectiveness of these methods for more than 3.5 million unknowns. © 2008 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Antennas and Propagationen_US
dc.subjectElectromagnetic Radiationen_US
dc.subjectFast Solversen_US
dc.subjectIterative Methodsen_US
dc.subjectMoment Methodsen_US
dc.subjectPreconditioneren_US
dc.titleOn preconditioning and the eigensystems of electromagnetic radiation problemsen_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.2008.926783en_US
dc.identifier.scopuseid_2-s2.0-49749100726en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-49749100726&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume56en_US
dc.identifier.issue8 Ien_US
dc.identifier.spage2413en_US
dc.identifier.epage2420en_US
dc.identifier.isiWOS:000258373000026-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHesford, AJ=15065327600en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.issnl0018-926X-

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