Finite elements computation of magnetic fields in multiply connected domains

Previously, a successive approximations procedure was developed to compute by means of the finite element method the magnetic field in nonhomogeneous nonlinear media. This method is now extended to multiply connected domains with boundary conditions well suited to the study of power transformer cores. Essential features of the present approach are a consistent use of integral constraints in the variational formulation of the problem and a full exploitation of the space and time symmetries involved. Some numerical results for two-dimensional problems are discussed in the last sections.