SINGULAR-INTEGRALS AND BOUNDARY ELEMENTS

The aim of this paper is to give a view on mathematical singularities involved in the BEM formulations. The regularized integral representat ions (of the primary and secondary fields) and boundary integral equat ions (ordinary and derivative BIEs) demonstrate the possibility of rem oving the non-physical singularities of various kinds from the BEM for mulations. The continuity requirements on the approximation of physica l boundary densities and the boundary geometry are discussed together with the consequences of insufficiently smooth approximations. The mod ified Overhauser elements are developed in the two-dimensional case. ( C) 1998 Elsevier Science S.A.