WIT Press


Fast Multipole Boundary Element Method For The Solution Of 3D Electrostatic Field Problems

Price

Free (open access)

Paper DOI

10.2495/BE040361

Volume

37

Pages

11

Published

2004

Size

1,147 kb

Author(s)

A. Buchau, W. Hafla, F. Groh & W. M. Rucker

Abstract

Direct and indirect boundary element methods are applied to the numerical solution of electrostatic field problems. The fully populated matrix of the system of linear equations is compressed by the fast multipole method along with a significant reduction of computational costs and memory requirements. With some modifications and enhancements the fast multipole method yields to accurate results even for adaptive meshes and mixed boundary conditions. Besides the efficient solution of the system of linear equations the fast multipole method abridges the postprocessing time noticeably. Emphasis is placed on an implementation of the fast multipole method into existing BEM software. Keywords: electrostatics, fast multipole methods, Galerkin methods, Laplace equations, matrix com

Keywords