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