Indirect Linear Equation Solvers For Magnetostatics Boundary
Element Formulations
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
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