An evaluation of iterative methods in the solution of a convection—diffusion problem

Abstract

In this paper we investigate the performance of CGS, BCGSTAB and GMRES with ILU preconditioner for solving convection‐diffusion problems. Numerical experiments indicate that BCGSTAB appears to be an efficient and stable method. CGS sometimes suffers from severe numerical instability. GMRES shows a higher suitability and stability but the overall convergence rate may be lower.

Citation

Feng, Y.T., Huang, G.J., Owen, D.R.J. and Perić, D. (1995), "An evaluation of iterative methods in the solution of a convection—diffusion problem", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 5 No. 3, pp. 213-223. https://doi.org/10.1108/EUM0000000004063