APPLICATION OF THE OPTIMIZED MODIFIED STRONG IMPLICIT PROCEDURE TO NONLINEAR PROBLEMS

Abstract

This article applies a recently developed iterative method to solve the system of equations obtained from the discretization of nonlinear, two-dimensional field problems. This method is the modified strong implicit procedure with an adaptive optimization algorithm applied to its iteration parameter, which eliminates the trial-and-error method usually necessary to determine its optimum value. Four nonlinear problems are used to compare the new method to the original MSIP. The results show that, for nonlinear problems, the optimized MSI procedure is faster than the original MSI procedure, even when the latter is used with the best value of its iteration parameter.