Error analysis of MLFMA with closed-form expressions

Simple item page
buir.contributor.authorKalfa, Mert
buir.contributor.authorErtürk, Vakur B.
buir.contributor.authorErgül, Özgür
buir.contributor.orcidKalfa, Mert|0000-0002-6462-1776
buir.contributor.orcidErtürk, Vakur B.|0000-0003-0780-5015
buir.contributor.orcidErgül, Özgür|0000-0001-5719-6479
dc.citation.epage6623en_US
dc.citation.issueNumber10en_US
dc.citation.spage6618en_US
dc.citation.volumeNumber69en_US
dc.contributor.authorKalfa, Mert
dc.contributor.authorErtürk, Vakur B.
dc.contributor.authorErgül, Özgür
dc.date.accessioned2022-01-27T11:03:45Z
dc.date.available2022-01-27T11:03:45Z
dc.date.issued2021-04-06
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThe 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.identifier.doi10.1109/TAP.2021.3070086en_US
dc.identifier.eissn1558-2221
dc.identifier.issn0018-926X
dc.identifier.urihttp://hdl.handle.net/11693/76833
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttps://doi.org/10.1109/TAP.2021.3070086en_US
dc.source.titleIEEE Transactions on Antennas and Propagationen_US
dc.subjectError analysisen_US
dc.subjectLow-frequency breakdownen_US
dc.subjectMultilevel fast multipole algorithm (MLFMA)en_US
dc.subjectMultiple-precision arithmeticen_US
dc.titleError analysis of MLFMA with closed-form expressionsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Error_analysis_of_MLFMA_with_closed-form_expressions.pdf
Size:
1.06 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.69 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Department of Electrical and Electronics Engineering