Use of the Bubnov-Galerkin method to skin effect problems for the case of unknown boundary conditions

A method based on coupling the Bubnov-Galerkin method and the separation of variables method is described for the solution of alternating field problems in which the region of prime interest is embedded in an infinitely extending region where Laplace's equation holds. The proposed method can also be used when the stored energy associated with the exterior region and the boundary conditions at infinity are infinite. As an example illustrating the use of the method, the inner impedance of an elliptic conductor is calculated. By means of iterative numerical processes, the method enables the exact values of impedance to be obtained.