WIT Press


Indirect Linear Equation Solvers For Magnetostatics Boundary Element Formulations

Price

Free (open access)

Paper DOI

10.2495/BE010151

Volume

28

Pages

11

Published

2001

Size

856 kb

Author(s)

Z. Fang, M. S. Ingber and M. J. Martinez

Abstract

Indirect linear equation solvers for magnetostatics boundary element formulations Z. Fang*, M. S. Ingber^ and M. J. Martinez^ * Department of Chemical Engineering, California Institute of Technology, ^Department of Mechanical Engineering, University of New Mexico, USA ^Multiphase Transport Processes Department, Sandia National Laboratories, Albuquerque, New Mexico, USA Abstract A boundary element method (BEM) for the solution of magnetostatics problems is developed. For large problems when using a direct linear equation solver such as LU-decomposition, the decomposition phase of the algorithm comprises the pre- dominant portion of the overall CPU time. A variety of indirect linear equation solvers are considered as a means of significantly reducing the CPU usage. Because of the excellent conditioning of the discretized linear systems, the number of iterations required of the indirect solvers to reach a prescribed residual is quite low and remains relatively constant with r

Keywords