Efficient computation of long-range electromagnetic interactions without Fourier transforms

Author

Tsukerman, Igor

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Akron, OH, USA

Volume

40

Issue

4

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

2158

Lastpage

2160

Abstract

A generalized finite-difference method is proposed as an alternative to Ewald summation for problems with point charges or dipoles. Higher accuracy is achieved by incorporating the exact analytical expression for the "rough" (singular, discontinuous, or rapidly changing) component of the potential and solving only for the residual smooth component. A numerical example in the context of the York-Yang method is given.

Keywords

electromagnetic field theory; exchange interactions (electron); finite difference methods; molecular dynamics method; Ewald summation; Fourier transforms; York-Yang method; dipoles problems; efficient computation; exact analytical expression; generalized finite-difference method; long-range electromagnetic interactions; molecular dynamics; multigrid methods; multiparticle problems; point charges; residual smooth component; Cloud computing; Computational efficiency; Distributed computing; Finite difference methods; Fourier transforms; Interpolation; Magnetic recording; Micromagnetics; Multigrid methods; Nanoparticles; Ewald summation; generalized finite-difference method; long-range interactions; molecular dynamics; multigrid methods; multiparticle problems;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.829022

Filename

1325438