Author(s)

M. Hribersek & L. Skerget

Abstract

GMRES and conjugate gradient methods in boundary-domain integral method M. Hribersek & L. Skerget Faculty of Technical Sciences, University of Maribor, 62000 Maribor, Slovenia ABSTRACT Solution of large systems of linear equations presents one of the main gener- ators of large CPU time consumption in Boundary-Domain Integral Method (BDIM). In order to decrease computational cost of BDIM iterative methods for solving large sets of linear equations are used. In this context Conjugate Gradient methods (CGS, BICGSTAB) and Generalized Minimal Residual Method (GMRES), which proved to be very efficient in other approximation methods, are used. Efficiency of these methods for different types of pre- conditioning (simple Jacoby and incomplete LU factorisation) is examined when used in BDIM. Behaviour of restarted and non-restarted version of GMRES are also studied. Behaviour of iterative methods for test example of flow over a backward facing step in cases of higher Re numbers

Keywords