Finite-element solution of eddy-current problems in unbounded domains by means of the hybrid FEM-DBCI method

A hybrid method, called finite-element method-Dirichlet boundary-condition iteration (FEM-DBCI), is described for the finite-element solution of time-harmonic eddy current problems in three-dimensional unbounded domains. The procedure couples a differential equation for the interior problem in terms of the electric field with an integral equation for the exterior one, which expresses the Dirichlet condition on the truncation boundary. The global algebraic system is efficiently solved in an iterative way. FEM-DBCI leads to shorter solving times and not much higher memory requirements with respect to the FEM-boundary-element method.