For example, the exterior Dirichlet problem for the Laplace equation in a comparative analysis of existing analytical methods for solving boundary value problems in media containing disjoint inclusions. The region of applicability of the method of reflections and images. The theorem of addition for irreducible Cartesian tensors with which the solution of the boundary value problem is reduced to solving an infinite system of linear algebraic equations. It is shown that the same system and the results known method of induced forces.