Multigrid Preconditioner Applied to a Two-Dimensional Convection-Diffusion Problem

摘要

We consider a preconditioner for convective diffusion problems based on a small number of sweeps of a multi-grid applied only to the diffusion part of the operator. The preconditioner is applied to the normal equations, and the conjugate gradient method is used as the iteration scheme. This extends a preconditioner which has been shown to be effective for Helmholtz type equations. The numerical experiments indicate that best convergence is obtained using only a small number of sweeps of the multi-grid algorithm and that this preconditioner may be more effective than a fast solver for the diffusion part of the operator. 8 refs., 1 fig., 4 tabs. (ERA citation 13:013815)