Iterative solution of the normal-equations form of the electric-field integral equation

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage1860en_US
dc.citation.spage1857en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.coverage.spatialHonolulu, HI, USAen_US
dc.date.accessioned2016-02-08T11:40:28Zen_US
dc.date.available2016-02-08T11:40:28Zen_US
dc.date.issued2007en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 9-15 June 2007en_US
dc.descriptionConference Name: Antennas and Propagation Society International Symposium, IEEE 2007en_US
dc.description.abstractIn this paper, we show that transforming the original equations into normal equations improves the convergence of EFIE significantly. We present the solutions of EFIE by employing the least-squares QR (LSQR) algorithm, which corresponds to a stable application of the conjugate gradient (CG) algorithm on the normal equations. Despite the squaring of the condition number due to such a transformation into the normal equations, LSQR improves the convergence rate of the iterative solutions of EFIE and performs better than many other iterative algorithms that are commonly used in the literature. In addition to LSQR, we present the accelerated convergence of the normal equations in the context of the generalized minimal residual (GMRES) algorithm, where the memory requirement is reduced significantly due to the improved convergence characteristics.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:40:28Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1109/APS.2007.4395880en_US
dc.identifier.issn1522-3965en_US
dc.identifier.urihttp://hdl.handle.net/11693/26954en_US
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/APS.2007.4395880en_US
dc.source.titleProceedings of the Antennas and Propagation Society International Symposium, IEEE 2007en_US
dc.subjectIntegral equationsen_US
dc.subjectIterative algorithmsen_US
dc.subjectMLFMAen_US
dc.subjectSurface wavesen_US
dc.subjectComputational electromagneticsen_US
dc.subjectElectromagnetic scatteringen_US
dc.subjectComputational geometryen_US
dc.titleIterative solution of the normal-equations form of the electric-field integral equationen_US
dc.typeConference Paperen_US

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