Efficient solution of the electric-field integral equation using the iterative LSQR algorithm

buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage39en_US
dc.citation.spage36en_US
dc.citation.volumeNumber7en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.date.accessioned2016-02-08T10:09:52Z
dc.date.available2016-02-08T10:09:52Z
dc.date.issued2008en_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) can be improved by employing an iterative least-squares QR (LSQR) algorithm. Compared to many other Krylov subspace methods, LSQR provides faster convergence and it becomes an alternative choice to the time-efficient no-restart generalized minimal residual (GMRES) algorithm that requires large amounts of memory. Improvements obtained with the LSQR algorithm become significant for the solution of large-scale problems involving open surfaces that must be formulated using EFIE, which leads to matrix equations that are usually difficult to solve iteratively, even when the matrix-vector multiplications are accelerated via the multilevel fast multipole algorithm.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:09:52Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2008en
dc.identifier.doi10.1109/LAWP.2007.908008en_US
dc.identifier.eissn1548-5757
dc.identifier.issn1536-1225
dc.identifier.urihttp://hdl.handle.net/11693/23171
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.isversionofhttp://doi.org/10.1109/LAWP.2007.908008en_US
dc.source.titleIEEE Antennas and Wireless Propagation Lettersen_US
dc.subjectIterative algorithmsen_US
dc.subjectLeast-squares QR algorithmen_US
dc.subjectMultilevel fast multipole algorithmen_US
dc.subjectScattering problemsen_US
dc.titleEfficient solution of the electric-field integral equation using the iterative LSQR algorithmen_US
dc.typeArticleen_US

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