Preconditioning techniques for the conjugate gradient solver on a parallel distributed memory computer

Abstract

This paper describes the parallelization of the conjugate gradient algorithm fitted with three types of preconditioning in order to compute large finite element complex sparse system of equations on a distributed memory parallel computer. Parallel performances are analyzed and compared using a problem of 60000 degrees of freedom. The electromagnetic scattering of a plane wave by a perfect electric conducting airplane is finally given as a large example.