Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners

buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage6en_US
dc.citation.spage1en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorMalas, Tahiren_US
dc.contributor.authorYavuz, Çen_US
dc.contributor.authorÜnal, Alperen_US
dc.contributor.authorGürel, Leventen_US
dc.coverage.spatialEdinburgh, UK
dc.date.accessioned2016-02-08T11:39:36Z
dc.date.available2016-02-08T11:39:36Z
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: 2nd European Conference on Antennas and Propagation (EuCAP 2007)
dc.description.abstractWe consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and split-ring resonators. The scattering problems are formulated by the electric-field integral equation (EFIE) discretized with the Rao-Wilton- Glisson basis functions defined on planar triangles. The resulting dense matrix equations are solved iteratively, where the matrix-vector multiplications that are required by the iterative solvers are accelerated with the multilevel fast multipole algorithm (MLFMA). Since EFIE usually produces matrix equations that are ill-conditioned and difficult to solve iteratively, we employ nested preconditioners to achieve rapid convergence of the iterative solutions. To further accelerate the simulations, we parallelize our algorithm and perform the solutions on a cluster of personal computers. This way, we are able to solve problems of MMs involving thousands of unit cells.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T11:39:36Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007en
dc.identifier.doi10.1049/ic.2007.1419en_US
dc.identifier.urihttp://hdl.handle.net/11693/26921
dc.language.isoEnglishen_US
dc.publisherIEEE
dc.relation.isversionofhttp://dx.doi.org/10.1049/ic.2007.1419en_US
dc.source.title2nd European Conference on Antennas and Propagation (EuCAP 2007)en_US
dc.subjectElectric-field integral equationen_US
dc.subjectElectromagnetic scatteringen_US
dc.subjectMetamaterialsen_US
dc.subjectMultilevel fast multipole Algorithmen_US
dc.subjectNested preconditioners.en_US
dc.subjectComputational analysisen_US
dc.subjectDense matricesen_US
dc.subjectIll-conditioneden_US
dc.subjectIterative solutionsen_US
dc.subjectIterative solversen_US
dc.subjectMatrix equationsen_US
dc.subjectMatrix vector multiplicationen_US
dc.subjectMetamaterial structuresen_US
dc.subjectMultilevel fast multipole algorithmsen_US
dc.subjectNested preconditioners.en_US
dc.subjectPreconditionersen_US
dc.subjectRao-Wilton-Glisson basis functionsen_US
dc.subjectRapid convergenceen_US
dc.subjectScattering problemsen_US
dc.subjectSplit-ring resonatoren_US
dc.subjectThin wiresen_US
dc.subjectUnit cellsen_US
dc.subjectAntennasen_US
dc.subjectComputer simulationen_US
dc.subjectElectromagnetic wave scatteringen_US
dc.subjectElectronic equipmenten_US
dc.subjectIntegral equationsen_US
dc.subjectMetamaterialsen_US
dc.subjectParallel algorithmsen_US
dc.subjectPersonal computersen_US
dc.subjectProblem solvingen_US
dc.subjectClustering algorithmsen_US
dc.titleComputational analysis of complicated metamaterial structures using MLFMA and nested preconditionersen_US
dc.typeConference Paperen_US

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