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

Published online by Cambridge University Press:  30 July 2015

Zydrunas Gimbutas  and
Leslie Greengard
Zydrunas Gimbutas*
Affiliation:
Information Technology Laboratory, National Institute of Standards and Technology, 325 Broadway, Mail Stop 891.01, Boulder, CO 80305-3328, USA
Leslie Greengard
Affiliation:
Simons Center for Data Analysis, Simons Foundation, 160 Fifth Avenue, NY, NY 10010, USA Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1110, USA
*
*Corresponding author. Email addresses: [email protected] (Z. Gimbutas), [email protected] (L. Greengard)
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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.

Keywords

52B1065D1868U0568U07Fast multipole methodLaplace equationHelmholtz equationStokes equationlayer potentialsprojection-based point and shoot translation operators
Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 2 , August 2015 , pp. 516 - 528
Copyright
Copyright © Global-Science Press 2015 

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