Author(s)

Okey Oseloka Onyejekwe

Abstract

We study the numerical properties of the Green element method when applied to unsteady transport problems. To this end, we consider some space time Green element formulations and assess their convergence and stability characteristics. Their overall performance in terms of convergence was found to be related to how each scheme handles the characteristics of Fourier wave components in relation to their theoretical values. 1 Introduction Like the Boundary element method(BEM)^ , the Green element method(GEM) replicates the governing differential equation into its integral form. For GEM however, the integral equation must be satisfied on each generic element of the problem domain. In this work, we establish the numerical performance of three GEM formulations.

Keywords