IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.69, no.10, pp.6618-6623, 2021 (SCI-Expanded)
Article / Article
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
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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
Middle East Technical University Affiliated:
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.