Efficient solution of the electric and magnetic current combined‐field integral equation with the multilevel fast multipole algorithm and block‐diagonal preconditioning

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buir.contributor.authorGürel, Levent
buir.contributor.authorErgül, Özgür
dc.citation.epage15en_US
dc.citation.issueNumber06en_US
dc.citation.spage1en_US
dc.citation.volumeNumber44en_US
dc.contributor.authorErgül, Özgüren_US
dc.contributor.authorGürel, Leventen_US
dc.date.accessioned2019-01-24T14:17:42Z
dc.date.available2019-01-24T14:17:42Z
dc.date.issued2009-12en_US
dc.departmentComputational Electromagnetics Research Center (BiLCEM)en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe consider the efficient solution of electromagnetics problems involving dielectric and composite dielectric-metallic structures, formulated with the electric and magnetic current combined-field integral equation (JMCFIE). Dense matrix equations obtained from the discretization of JMCFIE with Rao-Wilton-Glisson functions are solved iteratively, where the matrix-vector multiplications are performed efficiently with the multilevel fast multipole algorithm. JMCFIE usually provides well conditioned matrix equations that are easy to solve iteratively. However, iteration counts and the efficiency of solutions depend on the contrast, i.e., the relative variation of electromagnetic parameters across dielectric interfaces. Owing to the numerical imbalance of off-diagonal matrix partitions, solutions of JMCFIE become difficult with increasing contrast. We present a four-partition block-diagonal preconditioner (4PBDP), which provides efficient solutions of JMCFIE by reducing the number of iterations significantly. 4PBDP is useful, especially when the contrast increases, and the standard block-diagonal preconditioner fails to provide a rapid convergence.en_US
dc.identifier.doi10.1029/2009RS004143en_US
dc.identifier.eissn1944-799X
dc.identifier.issn0048-6604
dc.identifier.urihttp://hdl.handle.net/11693/48312en_US
dc.language.isoEnglishen_US
dc.publisherWiley-Blackwell Publishing, Inc.en_US
dc.relation.isversionofhttps://doi.org/10.1029/2009RS004143en_US
dc.subjectIntegral equationsen_US
dc.subjectMultilevel fast multipole algorithm (MLFMA)en_US
dc.subjectIterative solversen_US
dc.titleEfficient solution of the electric and magnetic current combined‐field integral equation with the multilevel fast multipole algorithm and block‐diagonal preconditioningen_US
dc.typeArticleen_US
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