Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation

Zydrunas Gimbutas; Leslie Greengard

doi:10.4208/cicp.150215.260615sw

Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation

Zydrunas Gimbutas, Leslie Greengard

Mathematics

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

Abstract

We have developed easy to use fast multipole method (FMM) libraries for the Laplace, low-frequency 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.

Original language	English (US)
Pages (from-to)	516-528
Number of pages	13
Journal	Communications in Computational Physics
Volume	18
Issue number	2
DOIs	https://doi.org/10.4208/cicp.150215.260615sw
State	Published - Jul 30 2015

Keywords

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

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.4208/cicp.150215.260615sw

Cite this

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AB - We have developed easy to use fast multipole method (FMM) libraries for the Laplace, low-frequency 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.

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KW - Stokes equation

KW - layer potentials

KW - projection-based point and shoot translation operators

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Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation

Abstract

Keywords

ASJC Scopus subject areas

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