Improving iterative solutions of the electric-field integral equation via transformations into normal equations

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage2138en_US
dc.citation.issueNumber16en_US
dc.citation.spage2129en_US
dc.citation.volumeNumber24en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.date.accessioned2016-02-08T09:55:44Z
dc.date.available2016-02-08T09:55:44Z
dc.date.issued2012-04-03en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.description.abstractWe consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the GMRES algorithm is reduced by more than 50%, which is significant when the problem size is large.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:55:44Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2010en
dc.identifier.doi10.1163/156939310793699082en_US
dc.identifier.issn0920-5071
dc.identifier.urihttp://hdl.handle.net/11693/22118
dc.language.isoEnglishen_US
dc.publisherTaylor and Francisen_US
dc.relation.isversionofhttp://dx.doi.org/10.1163/156939310793699082en_US
dc.source.titleJournal of Electromagnetic Waves and Applicationsen_US
dc.subjectConducting objectsen_US
dc.subjectDense matricesen_US
dc.subjectDiscretizationsen_US
dc.subjectElectromagneticsen_US
dc.subjectGeneralized minimal residual algorithmsen_US
dc.subjectGMRES algorithmen_US
dc.subjectIterative solutionsen_US
dc.subjectMatrix equationsen_US
dc.subjectMulti-level fast multi-pole algorithmen_US
dc.subjectNormal equationsen_US
dc.subjectNumber of iterationsen_US
dc.subjectProblem sizeen_US
dc.subjectAlgorithmsen_US
dc.subjectAntennasen_US
dc.subjectIntegral equationsen_US
dc.titleImproving iterative solutions of the electric-field integral equation via transformations into normal equationsen_US
dc.typeArticleen_US

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