Multigrid solvers for the non-aligned sonic flow: the constant coefficient case (original) (raw)

An approach for the construction of multigrid solvers for non-elliptic equations on a rectangular grid is presented. The results of both the analysis and the numerical experiments demonstrate that such an approach permits to achieve a full multigrid efficiency even in the case that the equation characteristics do not align with the grid. To serve as a model problem, the 2D and 3D linearized sonic-flow equations with a constant velocity field have been chosen. Efficient F MG solvers for the problems are demonstrated.