Some developments of the CVBEM-application to the mixed boundary value problem for the Laplace equation

Abstract

The main developments of the CVBEM given in the paper consists in removing the need for approximating the boundary curve by a poligonal line and the introduction of the singular boundary elements for the case of re-entrant corners or collision points on the boundary. The paper gives also explicit formulae for solving the mixed Dirichlet-Neumann boundary value problem for two-dimensional Laplace equation by CVBEM. The Fortran program MIXED coded by this idea is applied to some test problems.