Atıf İçin Kopyala
Kalfa M., Erturk V. B., Ergul Ö. S.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, cilt.69, sa.10, ss.6618-6623, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
69
Sayı:
10
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Basım Tarihi:
2021
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Doi Numarası:
10.1109/tap.2021.3070086
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Dergi Adı:
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
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Sayfa Sayıları:
ss.6618-6623
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Anahtar Kelimeler:
Error correction, Closed-form solutions, Antennas, Frequency control, Green's function methods, Finite wordlength effects, Complexity theory, Error analysis, low-frequency breakdown, multilevel fast multipole algorithm (MLFMA), multiple-precision arithmetic, ELECTROMAGNETIC SCATTERING, MULTIPOLE
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
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.