INVESTIGATING THE SOLUTION OF THE THREE-DIMENSIONAL POISSON'S EQUATION BY USING BiCGstab(l) ALGORITHM

Abstract

This paper presents the use of the BiCGstab(l) algorithm to find the solutions for the three-dimensional Poisson’s equation. This subroutine was incorporated into the self-consistent ensemble Monte-Carlo device simulation program to test its efficiency. Moreover, in order to compare the convergent rate and stability of the BiCGstab(l) algorithm to the corresponding characteristics of the BiCGstab algorithm, we investigated the dependence of the logarithm of the Euclidean norm of the residual vector on the number of the main loops of Poisson subroutine. The results showed that the program for solving Poisson’s equation based on the BiCGstab(l) algorithm gives more accurate simulation results as using the BiCGstab algorithm.