Procedimento recursivo do método dos elementos de contorno

Abstract

This work presents a procedure based on the recursive use of the governing integral equation with the purpose to improve the accuracy of the Boundary Element Method. Usually, the recursive use of integral equation with BEM is done exclusively to determinate internal v alues of basic or primal variables, after all the nodal boundary values have been calculated. In this work, it is presented the same idea to improve the boundary results accuracy. Instead the new source points be located inside the domain, they are positioned on the boundary, with different coordinates from the nodal points. Thus, the basic variable values and their boundary spatial derivatives can be recalculated based on the boundary values calculated previously. This numerical procedure is based on the mathematical equivalence among the recursive use of the boundary integral equation and the new application of the residual weighed sentence, related to the governing equation. The procedure is here applied to Laplace´s Equation. The numerical results are compared with the analytical ones to evaluate the performance obtained with the proposed technique.