A novel broadband multilevel fast multipole algorithm with incomplete-leaf tree structures for multiscale electromagnetic problems

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dc.citation.epage2456en_US
dc.citation.issueNumber6en_US
dc.citation.spage2445en_US
dc.citation.volumeNumber64en_US
dc.contributor.authorTakrimi, M.en_US
dc.contributor.authorErgül, Ö.en_US
dc.contributor.authorErtürk, V. B.en_US
dc.date.accessioned2018-04-12T10:42:47Z
dc.date.available2018-04-12T10:42:47Z
dc.date.issued2016en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractAn efficient and versatile broadband multilevel fast multipole algorithm (MLFMA), which is capable of handling large multiscale electromagnetic problems with a wide dynamic range of mesh sizes, is presented. By invoking a novel concept of incomplete-leaf tree structures, where only the overcrowded boxes are divided into smaller ones for a given population threshold, versatility of using variable-sized boxes is achieved. Consequently, for geometries containing highly overmeshed local regions, the proposed method is always more efficient than the conventional MLFMA for the same accuracy, while it is always more accurate if the efficiency is comparable. Furthermore, in such a population-based clustering scenario, the error is controllable regardless of the number of levels. Several canonical examples are provided to demonstrate the superior efficiency and accuracy of the proposed algorithm in comparison with the conventional MLFMA. � 2016 IEEE.en_US
dc.identifier.doi10.1109/TAP.2016.2552545en_US
dc.identifier.issn0018-926X
dc.identifier.urihttp://hdl.handle.net/11693/36511
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAP.2016.2552545en_US
dc.source.titleIEEE Transactions on Antennas and Propagationen_US
dc.subjectBroadband solversen_US
dc.subjectincomplete leaf (IL)en_US
dc.subjectlow-frequency breakdownen_US
dc.subjectmultilevel fast multipole algorithm (MLFMA)en_US
dc.subjectmultiscale problemsen_US
dc.subjectAlgorithmsen_US
dc.subjectEfficiencyen_US
dc.subjectElectromagnetsen_US
dc.subjectBroadband solversen_US
dc.subjectincomplete leaf (IL)en_US
dc.subjectLow-frequency breakdownen_US
dc.subjectMulti level fast multipole algorithms (MLFMA)en_US
dc.subjectMultiscale problemen_US
dc.subjectTrees (mathematics)en_US
dc.titleA novel broadband multilevel fast multipole algorithm with incomplete-leaf tree structures for multiscale electromagnetic problemsen_US
dc.typeArticleen_US

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