Richardson cascadic multigrid method for 2D Poisson equation based on a fourth order compact scheme (Q1714628)

Summary: Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique [\textit{Y. Wang} and \textit{J. Zhang}, J. Comput. Phys. 228, No. 1, 137--146 (2009; Zbl 1157.65469)] and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time.