Numerical Applications

Abstract

The hybrid-displacement boundary element formulation, which has been proposed in the earlier parts of this work, is a novel numerical technique. Several problems in two-dimensional potential and elasticity theories have been solved to demonstrate its feasibility and accuracy. Some of these solutions will be presented in this chapter and their accuracy will then be assessed by comparing these numerical results to analytical solutions. Hybrid boundary elements results are also compared to numerical results obtained by the conventional boundary element method. The performance of the new approach can then be compared against the performance of the conventional BEM, which has already been proved to be efficient and accurate. The convergence of the hybrid-displacement method has also been demonstrated numerically and the results are shown for some of the cases studied in function of an error norm.