Solutions of large integral-equation problems with preconditioned MLFMA

dc.citation.epage169en_US
dc.citation.spage166en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorMalas, Tahiren_US
dc.contributor.authorÜnal, Alperen_US
dc.contributor.authorGürel, Leventen_US
dc.contributor.bilkentauthorGürel, Levent
dc.contributor.bilkentauthorErgül, Özgür
dc.coverage.spatialMunich, Germanyen_US
dc.date.accessioned2016-02-08T11:42:32Z
dc.date.available2016-02-08T11:42:32Z
dc.date.issued2007en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.descriptionDate of Conference: 9-12 October 2007en_US
dc.descriptionConference Name: 37th European Microwave Conference, EuMA 2007en_US
dc.description.abstractWe report the solution of the largest integral-equation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integral-equation formulations that are solved iteratively by employing parallel multilevel fast multipole algorithm (MLFMA). With the efficient parallelization of MLFMA, scattering and radiation problems with millions of unknowns are easily solved on relatively inexpensive computational platforms. For the iterative solutions of the matrix equations, we are able to obtain accelerated convergence even for ill-conditioned matrix equations using advanced preconditioning schemes, such as nested preconditioned based on an approximate MLFMA. By orchestrating these diverse activities, we have been able to solve a closed geometry formulated with the CFIE containing 33 millions of unknowns and an open geometry formulated with the EFIE containing 12 millions of unknowns, which are the largest problems of their classes, to the best of our knowledge.en_US
dc.identifier.doi10.1109/EUMC.2007.4405152en_US
dc.identifier.urihttp://hdl.handle.net/11693/27033
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/EUMC.2007.4405152en_US
dc.source.titleProceedings of the 37th European Microwave Conference, EuMA 2007en_US
dc.subjectComputational geometryen_US
dc.subjectElectromagnetic wave scatteringen_US
dc.subjectElectromagnetismen_US
dc.subjectIntegral equationsen_US
dc.subjectMaterials scienceen_US
dc.subjectMicrowavesen_US
dc.subjectNumerical analysisen_US
dc.subjectParallel algorithmsen_US
dc.subjectScatteringen_US
dc.subjectElectromagnetic scatteringen_US
dc.subjectMetamaterialsen_US
dc.subjectMultilevel fast multipole algorithmen_US
dc.subjectParallelizationen_US
dc.subjectPreconditioning techniquesen_US
dc.subjectSurface integral equationsen_US
dc.subjectIterative methodsen_US
dc.titleSolutions of large integral-equation problems with preconditioned MLFMAen_US
dc.typeConference Paperen_US
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