Error Analysis of MLFMA with Closed-Form Expressions

Date

2021-01-01

Author

Kalfa, Mert
Erturk, Vakur B.
Ergül, Özgür Salih

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The 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.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85103911763&origin=inward
https://hdl.handle.net/11511/90916

Journal

IEEE Transactions on Antennas and Propagation

DOI

https://doi.org/10.1109/tap.2021.3070086

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

M. Kalfa, V. B. Erturk, and Ö. S. Ergül, “Error Analysis of MLFMA with Closed-Form Expressions,” IEEE Transactions on Antennas and Propagation, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85103911763&origin=inward.