Finite-element variational formulation of the impedance boundary condition for solving eddy current problems

The impedance boundary condition (IBC), cast in magnetic vector potential (MVP) form as a general Neumann boundary condition, is imposed through the two-dimensional finite-element variational formulation to solve eddy current problems, especially at high frequencies. The proposed work introduces for the first time a boundary matrix (IBC matrix) which can be added to the original finite-element matrix. The results obtained from two test examples show that the formulation is valid for solving such problems