We present the mathematical theory and its numerical validation of a method tailored to include eddy-current effects only in a part of the domain. This results in a heterogeneous problem combining an eddy-current model in a subset of the computational domain with a magneto-static model in the remainder of the domain. We adopt a two-domain two-step approach in which the primary variables of the problem are the electric scalar potential and the magnetic vector potential. We show numerical results that validate the formulation.

翻译：本文阐述了一种仅在部分区域考虑涡流效应的方法的数学理论及其数值验证。该方法在计算域子集上采用涡流模型，其余区域采用静磁模型，从而构成异构问题。我们采用双域两步策略，以电标量势和磁矢量势作为问题的主变量。数值结果验证了该公式的有效性。