Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations

Abstract

In previous studies, the 4 Point-Explicit Decoupled Group (EDG) iterative method without or with a weighted parameter, ω has been shown to be much faster as compared to the existing four point block iterative method. Due to the effectiveness of this method, the primary goal of this paper is to illustrate the advantage of the 9 Point-EDGSOR in solving two-dimensional Poisson equations by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme. In fact, formulations of the 4, 6, and 9 Point-EDGSOR iterative methods are also presented. Results of numerical experiments are recorded to show the effectiveness of the 9 Point-EDGSOR method as compared to the 4, and 6 Point-EDGSOR methods. © 2009 Springer Berlin Heidelberg.