A study of the error controllability of MLFMA

Shinichim Ohnuki; Weng Cho Chew

doi:10.1109/APS.2001.960212

A study of the error controllability of MLFMA

Shinichim Ohnuki, Weng Cho Chew

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The Green's function is factorized by using the addition theorem which is the mathematical core of the multilevel fast multipole algorithm. In the numerical implementation, the errors arise from the truncation of tho addition theorem, the process of aggregation and disaggregation, and the approximation of the integration. In this paper, we investigate these errors precisely and show how to control them by choosing proper parameters in the computational process.

Original language	English (US)
Pages (from-to)	774-777
Number of pages	4
Journal	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	3
DOIs	https://doi.org/10.1109/APS.2001.960212
State	Published - Jan 1 2001

ASJC Scopus subject areas

Electrical and Electronic Engineering

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abstract = "The Green's function is factorized by using the addition theorem which is the mathematical core of the multilevel fast multipole algorithm. In the numerical implementation, the errors arise from the truncation of tho addition theorem, the process of aggregation and disaggregation, and the approximation of the integration. In this paper, we investigate these errors precisely and show how to control them by choosing proper parameters in the computational process.",

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