A hybrid multigrid method for convection-diffusion problems

• Autores: S. Chaabane Khelifi, N. Méchitoua, F. Hülsemann, F. Magoulès
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 2, 2014, págs. 711-719
• Idioma: inglés
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• Resumen

  • 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.