Error analysis of MLFMA with closed-form expressions
buir.contributor.author | Kalfa, Mert | |
buir.contributor.author | Ertürk, Vakur B. | |
buir.contributor.author | Ergül, Özgür | |
buir.contributor.orcid | Kalfa, Mert|0000-0002-6462-1776 | |
buir.contributor.orcid | Ertürk, Vakur B.|0000-0003-0780-5015 | |
buir.contributor.orcid | Ergül, Özgür|0000-0001-5719-6479 | |
dc.citation.epage | 6623 | en_US |
dc.citation.issueNumber | 10 | en_US |
dc.citation.spage | 6618 | en_US |
dc.citation.volumeNumber | 69 | en_US |
dc.contributor.author | Kalfa, Mert | |
dc.contributor.author | Ertürk, Vakur B. | |
dc.contributor.author | Ergül, Özgür | |
dc.date.accessioned | 2022-01-27T11:03:45Z | |
dc.date.available | 2022-01-27T11:03:45Z | |
dc.date.issued | 2021-04-06 | |
dc.department | Department of Electrical and Electronics Engineering | en_US |
dc.description.abstract | The current state-of-the-art error control of the multilevel fast multipole algorithm (MLFMA) is valid for any given error threshold at any frequency, but it requires a multiple-precision arithmetic framework to be implemented. In this work, we use asymptotic approximations and curve-fitting techniques to derive accurate closed-form expressions for the error control of MLFMA that can be implemented in common fixed-precision computers. Moreover, using the proposed closed-form expressions in conjunction with the state-of-the-art scheme, we report novel design curves for MLFMA that can be used to determine achievable error limits, as well as the minimum box sizes that can be solved with a given desired error threshold for a wide range of machine precision levels. | en_US |
dc.description.provenance | Submitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2022-01-27T11:03:45Z No. of bitstreams: 1 Error_analysis_of_MLFMA_with_closed-form_expressions.pdf: 1113838 bytes, checksum: 472e043ed321aa500d68fdf05e9dcd04 (MD5) | en |
dc.description.provenance | Made available in DSpace on 2022-01-27T11:03:45Z (GMT). No. of bitstreams: 1 Error_analysis_of_MLFMA_with_closed-form_expressions.pdf: 1113838 bytes, checksum: 472e043ed321aa500d68fdf05e9dcd04 (MD5) Previous issue date: 2021-04-06 | en |
dc.identifier.doi | 10.1109/TAP.2021.3070086 | en_US |
dc.identifier.eissn | 1558-2221 | |
dc.identifier.issn | 0018-926X | |
dc.identifier.uri | http://hdl.handle.net/11693/76833 | |
dc.language.iso | English | en_US |
dc.publisher | IEEE | en_US |
dc.relation.isversionof | https://doi.org/10.1109/TAP.2021.3070086 | en_US |
dc.source.title | IEEE Transactions on Antennas and Propagation | en_US |
dc.subject | Error analysis | en_US |
dc.subject | Low-frequency breakdown | en_US |
dc.subject | Multilevel fast multipole algorithm (MLFMA) | en_US |
dc.subject | Multiple-precision arithmetic | en_US |
dc.title | Error analysis of MLFMA with closed-form expressions | en_US |
dc.type | Article | en_US |
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