Investigation of Triangle Element Analysis for the Solutions of 2D Poisson Equations via AOR method

Abstract

In earlier studies of iterative approaches, the accelerated over relaxation (AOR) method has been pointed out to be much faster as compared to the existing successive over re- laxation (SOR) and Gauss Seidel (GS) methods. Due to the effectiveness of this method, the foremost goal of this paper is to demonstrate the use of the AOR method together with triangle element solutions based on the Galerkin scheme method. The effectiveness of this method has been shown via results of numerical experiments, which are logged and examined. The findings show that the AOR method is superior as compared with the existing SOR and GS methods.