Back to Search Start Over

FMM/GPU-Accelerated Boundary Element Method for Computational Magnetics and Electrostatics.

Authors :
Adelman, Ross
Gumerov, Nail A.
Duraiswami, Ramani
Source :
IEEE Transactions on Magnetics; Dec2017, Vol. 53 Issue 12, p1-11, 11p
Publication Year :
2017

Abstract

A fast multipole method (FMM)/graphics processing unit-accelerated boundary element method (BEM) for computational magnetics and electrostatics via the Laplace equation is presented. The BEM is an integral method, but the FMM is typically designed around monopole and dipole sources. To apply the FMM to the integral expressions in the BEM, the internal data structures and logic of the FMM must be changed. However, this can be difficult. For example, computing the multipole expansions due to the boundary elements requires computing single and double surface integrals over them. Moreover, FMM codes for monopole and dipole sources are widely available and highly optimized. This paper describes a method for applying the FMM unchanged to the integral expressions in the BEM. This method, called the correction factor matrix method, works by approximating the integrals using a quadrature. The quadrature points are treated as monopole and dipole sources, which can be plugged directly into current FMM codes. The FMM is effectively treated as a black box. Inaccuracies from the quadrature are corrected during a correction factor step. The method is derived, and example problems are presented showing accuracy and performance. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
00189464
Volume :
53
Issue :
12
Database :
Complementary Index
Journal :
IEEE Transactions on Magnetics
Publication Type :
Academic Journal
Accession number :
126323574
Full Text :
https://doi.org/10.1109/TMAG.2017.2725951