The consideration of singularities in the numerical calculation of electrostatic fields by means of the Surface Charge Method

In this paper the behaviour of the Surface Charge Method (SCM) for calculating electrostatic fields in the presence of different kinds of singularities has been investigated. The results obtained by the numerical calculation of some test configurations were compared with the analytical ones. It could be shown that in spite of the singularity a good accuracy in the determination of the electric potential and field strength values can be obtained, if certain techniques for the discretization of the geometry are used.