Error Analysis of MLFMA with Closed-Form Expressions

Kalfa, Mert
Erturk, Vakur B.
Ergül, Özgür Salih
IEEEThe current state-of-the-art error control of 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.
Citation Formats
M. Kalfa, V. B. Erturk, and Ö. S. Ergül, “Error Analysis of MLFMA with Closed-Form Expressions,” pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: