APPLICATION OF THE BUBNOV-GALERKIN METHOD TO NONLINEAR STATIONARY MAGNETIC FIELD PROBLEMS WITH INHOMOGENEOUS BOUNDARY CONDITIONS

Abstract

A numerical procedure based on the Bubnov-Galerkin method is presented for the approximate solution of a nonlinear stationary magnetic field problem with inhomogeneous boundary conditions. Neumann-type boundary conditions are included in the operator equation describing the boundary value problem. Their incorporation is presented both with the aid of a special functional Hilbert space and by the use of generalized functions. The Dirichlet- type boundary conditions are reduced to ones of Neumann type.