Boundary element steady-state solutions of the traveling magnetic field problem

A boundary element method is presented for two-dimensional and steady-state analysis of the traveling magnetic field in conductive material. The boundary integral equation is derived from the Green´s second identity in which the fundamental solution including an effect due to the motional induction is originated. By use of the constant boundary elements the boundary integral equation is transformed into a system of linear equations. Some numerical results are shown in order to demonstrate the validity of the boundary element method. It is proved that even at large magnetic Reynolds numbers the boundary element solution is stably calculated with the second-order accuracy.