An efficient multigrid poisson solver

Abstract

In this paper, we introduce an efficient technique known as a quarter sweeps multigrid method for solving two dimensional Poisson equation with the Dirichlet boundary condition. The method with the red black Gauss-Seidel smoothing scheme is shown to be the most superior than the half- and full-sweeps multigrid methods due to Othman et at. [8] and Gupta et al. [5], respectively. Some numerical experiments are included to confirm our recommendation

Keywords:

• Poisson equation; full-, half- and quarter-sweeps multigrid methods
• performance evaluation

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Notes

^∗Corresponding author.