Transient calculations of two-dimensional eddy current problems

The situation describes a transverse magnetic field incident on a good conductor. The resulting model is an interface problem with the continuities of tangential electric and magnetic fields being the interface conditions. An approximation of Sommerfeld´s radiation condition is used for the absorption of the high-frequency scattered wave. Finite-difference methods are used for discretization. Instabilities arising from implementing the radiation condition and implementation of the interface conditions make the problem difficult to treat numerically. In addition, low-frequency situations require special treatment of radiation conditions. Procedures to overcome the difficulties are presented, and the numerical results are validated by comparison with analytical solutions