Convergence problems of integral modeling of 3d electrostatic fields with singularities

Numerous electrostatic fields are characterized by the presence of singularities (for example, at the corners or along the edges of electrically conductive charged bodies). Solutions to the tasks involving such elements by classic low-order differential methods often lead to inaccurate results. One of the prospective methods seems to be the integral approach starting from finding the distribution of the charge using the system of the first-kind Fredholm equations. The paper shows an application of this approach to two electrically conductive cubes in a general position in space. Discretization of their surfaces is performed in several different ways and the results are compared with respect to their convergence