Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D. (Q489238)

In this article, the authors consider the Galerkin discretization of the boundary integral equations which correspond to problems for the Helmholtz equation in three dimensions. A main result is proven which shows the semi-analytic integration for the bilinear form that is induced by the hypersingular operator. Such computations have already been carried out by \textit{S. Rjasanow} and \textit{O. Steinbach} [The fast solution of boundary integral equations. New York: Springer (2007; Zbl 1119.65119)] for the bilinear form induced by the single-layer and the double-layer potential operators and the authors base their computations on these results.