Fast Method for 2D Dirichlet Problem for Circular Multiply Connected Domains

This paper is devoted the optimization of application to determine the flux around closely spaced nonoverlapping disks on the conductive plane. This method is based on successive approximations applied to the functional equations. This paper is concerned on influence of checking diagrams on convergence fast Poincaré series method. This can be used to solve Laplace’s equation on a conductive plane with nonoverlapping inclusions. The initial stream is composed from set of two-point functions which are dependent on the graph which represents connection between nearest neighbours circles.