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