A hybrid multigrid method for convection–diffusion problems

摘要

This paper presents an advanced performance study of a multigrid method designed for convection–diffusion problems developed in Khelifi et al. (2011)  [24]. The proposed scheme with the separation of the operators enables an individual treatment for each operator: while the piecewise constant operator is used for the convective part, each off-diagonal entry of the coarse diffusion operator is scaled by a geometric factor. Numerical examples illustrate the fast convergence and the outstanding robustness of the proposed method, compared to other known methods.