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A single level Fast Multipole Method solver

version (5.94 KB) by Angelo Tafuni
This script solves the Laplace's equation on the unit box using the FMM.


Updated 09 Feb 2016

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Given a number N of sources in a unit box with potential in the form [phi(zi)=q/(zi-zj)], and given the desired level of accuracy for the multipole expansion, these scripts solve all pairwise interactions using of the Fast Multipole Method.
The file FMM_opt.m generates a better grid than FMM.m because the gridding strategy is optimized based on N and the order of accuracy, p. This can be noticed by comparing the elapsed times between the two strategies.

To run, just launch either script and input the number of sources and desired multipole expansion accuracy.
The script also generates a plot of the mesh with the generated sources.

Cite As

Angelo Tafuni (2021). A single level Fast Multipole Method solver (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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