New cascadic multigrid methods for two‐dimensional Poisson problem based on the fourth‐order compact difference scheme

Source abstract

Based on the fourth‐order compact finite difference scheme, new extrapolation cascadic multigrid methods for two‐dimensional Poisson problem are presented. In these new methods, a new extrapolation operator and a spline interpolation operator are used to provide a better initial value on refined grid. Numerical experiments show the new methods have higher accuracy and better efficiency. Copyright © 2016 John Wiley & Sons, Ltd.