Downwind numbering: Robust multigrid for convection-diffusion problems (Q676145)

The authors introduce and investigate a robust smoothing strategy for convection-diffusion problems in two and three dimensions without any assumption on the grid structure. An ordering strategy for the grid points which follows the flow direction is combined with a Gauss-Seidel type smoother. This is shown to yield robust multigrid convergence for adaptively refined grids, provided the convection field is cycle-free. A few numerical results are performed.