Electronic Journal of Boundary Elements. Volume 4, Number 2 (Archival Information Package)

This article considers weakly singular, singular and hypersingular integrals, which arise when the boundary integral equation (BIE) methods are used to solve problems in science and engineering. For their regularization, an approach based on the theory of distribution and application of the Green theorem has been used. The expressions, which allow an easy calculation of the weakly singular, singular and hypersingular integrals, have been constructed. Such approach may be easily generalized and applied to the calculation of multidimensional integrals with singularities of various types. This resource is archived and is not available for public use. The publicly accessible version is available at http://ejbe.libraries.rutgers.edu/index.php/ejbe/issue/view/27Binary format, Base 64 in XML wrapper, native OJS import format -- README file -- Regularization of the Divergent Integrals. I. General Consideration / Zozulya, Vladimir -- Regularization of the Divergent Integrals. II. Application in Fracture Mechanics. / Zozulya, Vladimir -- The condition number of the BEM-matrix arising from Laplace's equation / Dijkstra, W., Mattheij, R.M.M