research-article

Grid-Multipole Calculations

Author:

C. Leonard BermanAuthors Info & Claims

SIAM Journal on Scientific Computing, Volume 16, Issue 5

Pages 1082 - 1091

https://doi.org/10.1137/0916062

Published: 01 September 1995 Publication History

Abstract

We describe new high-order, momentum conserving methods for spreading charge to and interpolating potential from the mesh. These methods permit efficient grid-based algorithms to be used in high-order accurate n-body particle codes such as the fast multipole algorithm (FMM) of Greengard and Rokhlin [J. Comput. Phys., 73 (1987), pp. 325–348]. We report on experiments showing that potential evaluation using our spreading and interpolating techniques are significantly more accurate than evaluation using multipole expansions directly. We describe, briefly, how to incorporate our methods into the FMM.

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Cited By

Liska SColonius T(2013)A parallel fast multipole method for elliptic difference equationsJournal of Computational Physics10.1016/j.jcp.2014.07.048278:C(76-91)Online publication date: 1-Oct-2013
https://dl.acm.org/doi/10.1016/j.jcp.2014.07.048
Izaguirre JHampton SMatthey T(2005)Parallel multigrid summation for the N-body problemJournal of Parallel and Distributed Computing10.1016/j.jpdc.2005.03.00665:8(949-962)Online publication date: 1-Aug-2005
https://dl.acm.org/doi/10.1016/j.jpdc.2005.03.006
Ying LBiros GZorin D(2004)A kernel-independent adaptive fast multipole algorithm in two and three dimensionsJournal of Computational Physics10.1016/j.jcp.2003.11.021196:2(591-626)Online publication date: 20-May-2004
https://dl.acm.org/doi/10.1016/j.jcp.2003.11.021
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Published In

cover image SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing Volume 16, Issue 5

Sep 1995

221 pages

ISSN:1064-8275

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Copyright © 1995 Society for Industrial and Applied Mathematics.

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Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 September 1995

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Cited By

Liska SColonius T(2013)A parallel fast multipole method for elliptic difference equationsJournal of Computational Physics10.1016/j.jcp.2014.07.048278:C(76-91)Online publication date: 1-Oct-2013
https://dl.acm.org/doi/10.1016/j.jcp.2014.07.048
Izaguirre JHampton SMatthey T(2005)Parallel multigrid summation for the N-body problemJournal of Parallel and Distributed Computing10.1016/j.jpdc.2005.03.00665:8(949-962)Online publication date: 1-Aug-2005
https://dl.acm.org/doi/10.1016/j.jpdc.2005.03.006
Ying LBiros GZorin D(2004)A kernel-independent adaptive fast multipole algorithm in two and three dimensionsJournal of Computational Physics10.1016/j.jcp.2003.11.021196:2(591-626)Online publication date: 20-May-2004
https://dl.acm.org/doi/10.1016/j.jcp.2003.11.021
Banjai LTrefethen L(2003)A Multipole Method for Schwarz--Christoffel Mapping of Polygons with Thousands of SidesSIAM Journal on Scientific Computing10.1137/S106482750241167525:3(1042-1065)Online publication date: 1-Jan-2003
https://dl.acm.org/doi/10.1137/S1064827502411675
Chen FSuter D(1998)Using a Fast Multipole Method to Accelerate Spline EvaluationsIEEE Computational Science & Engineering10.1109/99.7145905:3(24-31)Online publication date: 1-Jul-1998
https://dl.acm.org/doi/10.1109/99.714590
Senturia SAluru NWhite J(1997)Simulating the Behavior of MEMS DevicesIEEE Computational Science & Engineering10.1109/99.5908544:1(30-43)Online publication date: 1-Jan-1997
https://dl.acm.org/doi/10.1109/99.590854

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