Hybrid and integral formulations for 3D eddy current problems

A set of 3D eddy current formulations enabling one to solve problems with conducting, non-conducting, and magnetic subregions are presented. The formulations are derived, and discretized by adopting Whitney edge elements. In the proposed hybrid and integral formulations, integral operators are utilized such that air regions need not to be discretized. Some test results validating the presented hybrid and integral methods are shown.