Effective preconditioners for large integral-equation problems

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage5en_US
dc.citation.spage1en_US
dc.contributor.authorMalas, Tahiren_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.coverage.spatialEdinburgh, UK
dc.date.accessioned2016-02-08T11:39:27Z
dc.date.available2016-02-08T11:39:27Z
dc.date.issued2007-11en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.descriptionDate of Conference: 11-16 Nov. 2007
dc.descriptionConference name: The Second European Conference on Antennas and Propagation, EuCAP 2007
dc.description.abstractWe consider effective preconditioning schemes for the iterative solution of integral-equation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the near-field system enables fast convergence up to certain problem sizes. However, for very large problems, the near-field matrix itself becomes too crude approximation to the dense system matrix and preconditioners generated from the near-field interactions cannot be effective. Therefore, we propose an approximation strategy to the multilevel fast multipole algorithm (MLFMA) to be used as a preconditioner. Our numerical experiments reveal that this scheme significantly outperforms other preconditioners. With the combined effort of effective preconditioners and an efficiently parallelized MLFMA, we are able to solve targets with tens of millions of unknowns in a few hours.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:39:27Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1049/ic.2007.1166en_US
dc.identifier.urihttp://hdl.handle.net/11693/26914
dc.language.isoEnglishen_US
dc.publisherIET
dc.relation.isversionofhttps://doi.org/10.1049/ic.2007.1166
dc.source.titleIET Seminar Digesten_US
dc.subjectIntegral equation methodsen_US
dc.subjectLarge-scale problemsen_US
dc.subjectPreconditioning, electromagnetic scatteringen_US
dc.subjectCrude approximationsen_US
dc.subjectDense systemsen_US
dc.subjectFast convergenceen_US
dc.subjectIterative solutionsen_US
dc.subjectMatrixen_US
dc.subjectMultilevel fast multipole algorithmsen_US
dc.subjectNear field interactionsen_US
dc.subjectNear-fielden_US
dc.subjectNumerical experimentsen_US
dc.subjectParallel implementationsen_US
dc.subjectPreconditionersen_US
dc.subjectPreconditioning, electromagnetic scatteringen_US
dc.subjectProblem sizeen_US
dc.subjectSparse approximate inverseen_US
dc.subjectAntennasen_US
dc.subjectApproximation algorithmsen_US
dc.subjectBoundary element methoden_US
dc.subjectElectromagnetic wave scatteringen_US
dc.subjectIntegral equationsen_US
dc.subjectRadar antennasen_US
dc.titleEffective preconditioners for large integral-equation problemsen_US
dc.typeConference Paperen_US

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