Performance of certain Krylov subspace methods for solving convection–diffusion equations

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摘要

This paper presents a comparison of the performance of some iterative methods for solving two-dimensional convection–diffusion equations arising from computational fluid dynamics. A number of numerical experiments are performed to compare preconditioned GRMES iterative method, CGS iterative method with preconditioning, and preconditioned Bi-CGSTAB iterative method. The main subject of the current work is mainly focused on the convergence behaviors of the three iterative methods.

论文关键词:Convection–diffusion equation,GMRES,CGS,Bi-CGSTAB,Preconditioning technique

论文评审过程:Available online 4 October 2003.

论文官网地址:https://doi.org/10.1016/j.amc.2003.08.023