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Simple FMM libraries for electrostatics, slow viscous flow, and frequency-domain wave propagation

Published

Author(s)

Zydrunas Gimbutas, Leslie Greengard

Abstract

We have implemented easy to use FMM libraries for the Laplace, Helmholtz and Stokes equations in two and three dimensions. The codes are based on a new method for applying translation operators and provide reasonable performance on either single core processors, or small multi-core systems using OpenMP.
Citation
Communications in Computational Physics
Volume
18
Issue
2

Keywords

Fast multipole method, Laplace equation, Helmholtz equation, Stokes equation, layer potentials, projection-based point and shoot translation operators

Citation

Gimbutas, Z. and Greengard, L. (2015), Simple FMM libraries for electrostatics, slow viscous flow, and frequency-domain wave propagation, Communications in Computational Physics, [online], https://doi.org/10.4208/cicp.150215.260615sw (Accessed October 9, 2025)

Issues

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Created July 30, 2015, Updated June 2, 2021
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