The expedite boundary element method

Abstract

The present developments combine the variationally-based, hybrid boundary element method with a consistent formulation of the conventional, collocation boundary element method in order to establish a computationally less intensive procedure, although not necessarily less accurate, for large-scale, two-dimensional and three-dimensional problems of potential and elasticity, including timedependent phenomena. Both the double-layer and the single-layer potential matrices, H and G, whose evaluation usually requires dealing with singular and improper integrals, are obtained in an expedite way that circumvents almost any numerical integration -except for a few regular integrals in the case of H. A few numerical examples are shown to assess the applicability of the method, its computational effort and some convergence issues.