A hybrid multigrid method for convection-diffusion problems

Authors:
S. Chaabane Khelifi;N. Méchitoua;F. Hülsemann;F. Magoulès
Affiliations:
-;-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

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Abstract

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.