Error control of multiple-precision MLFMA

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buir.contributor.authorErtürk, Vakur
dc.citation.epage5656en_US
dc.citation.issueNumber10en_US
dc.citation.spage5651en_US
dc.citation.volumeNumber66en_US
dc.contributor.authorKalfa, M.en_US
dc.contributor.authorErgül, Ö.en_US
dc.contributor.authorErtürk, Vakuren_US
dc.date.accessioned2019-02-21T16:05:18Z
dc.date.available2019-02-21T16:05:18Z
dc.date.issued2018en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe introduce and demonstrate a new error control scheme for the computation of far-zone interactions in the multilevel fast multipole algorithm when implemented within a multiple-precision arithmetic framework. The proposed scheme provides the optimum truncation numbers as well as the machine precisions given the desired relative error thresholds and the box sizes for the translation operator at all frequencies. In other words, unlike the previous error control schemes which are valid only for high-frequency problems, the proposed scheme can be used to control the error across both low- A nd high-frequency problems. Optimum truncation numbers and machine precisions are calculated for a wide range of box sizes and desired relative error thresholds with the proposed error control scheme. The results are compared with the previously available methods and numerical surveys.en_US
dc.identifier.doi10.1109/TAP.2018.2854405en_US
dc.identifier.eissn1558-2221en_US
dc.identifier.issn0018-926Xen_US
dc.identifier.urihttp://hdl.handle.net/11693/50244en_US
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.isversionofhttps://doi.org/10.1109/TAP.2018.2854405en_US
dc.source.titleIEEE Transactions on Antennas and Propagationen_US
dc.subjectDiagonalizationen_US
dc.subjectError analysisen_US
dc.subjectFast multipole method (FMM)en_US
dc.subjectLow-frequency breakdownen_US
dc.subjectMultiple-precision arithmetic (MPA)en_US
dc.titleError control of multiple-precision MLFMAen_US
dc.typeArticleen_US
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