A finite element-Green´s function method for the solution of unbounded three-dimensional eddy current problems

This paper presents a hybrid A,φ-Ω hybrid finite element-Green´s function method for the solution of three-dimensional unbounded eddy current problems. The finite element method is used in the interior region employing the magnetic vector potential A and the electric scalar potential φ. The Green´s function method is applied to the exterior region using the magnetic scalar potential Ω. This hybrid approach is efficient since it reduces the number of unknowns and subsequently reduces the core memory and computing overhead. To illustrate the formulation, a conducting cube under uniform magnetic field excitation is calculated and the current density is obtained