Fast Multipole Boundary Element Method For The Solution Of 3D Electrostatic Field Problems
Price
Free (open access)
Transaction
Volume
37
Pages
11
Published
2004
Size
1,147 kb
Paper DOI
10.2495/BE040361
Copyright
WIT Press
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