Error control in MLFMA with multiple-precision arithmetic

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dc.contributor.authorKalfa, Merten_US
dc.contributor.authorErgül, Ö.en_US
dc.contributor.authorErtürk, Vakur B.en_US
dc.coverage.spatialLondon, UK
dc.date.accessioned2019-02-21T16:09:46Z
dc.date.available2019-02-21T16:09:46Z
dc.date.issued2018-04en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 9-13 April 2018
dc.descriptionConference name: 12th European Conference on Antennas and Propagation (EuCAP 2018)
dc.description.abstractWe present a new error control method that provides the truncation numbers as well as the required digits of machine precision for the translation operator of the multilevel fast multipole algorithm (MLFMA). The proposed method is valid for all frequencies, whereas the previous studies on error control are valid only for high-frequency problems (i.e., electrically large translation distances). When combined with a multiple-precision implementation of MLFMA, the proposed method can be used to solve low-frequency problems that are problematic with a fixed-precision implementation. Numerical results in the form of optimal truncation numbers and machine precisions for a variety of box sizes and desired relative error thresholds are presented and compared with the methods or numerical surveys available in the literature.
dc.description.provenanceMade available in DSpace on 2019-02-21T16:09:46Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.identifier.doi10.1049/cp.2018.0645
dc.identifier.urihttp://hdl.handle.net/11693/50476
dc.language.isoEnglish
dc.publisherInstitution of Engineering and Technology
dc.relation.isversionofhttps://doi.org/10.1049/cp.2018.0645
dc.source.titleIET Conference Publicationsen_US
dc.subjectDiagonalizationen_US
dc.subjectError analysisen_US
dc.subjectLow-frequency breakdownen_US
dc.subjectMultilevel fast multipole algorithmen_US
dc.subjectMultiple-precision arithmeticen_US
dc.titleError control in MLFMA with multiple-precision arithmeticen_US
dc.typeConference Paperen_US

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