Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor

The T−Ω formulation of the magnetic field has been introduced in many papers for the approximation of the magnetic quantities modelled by the eddy current equations. This decomposition allows to use a scalar function in the main part of the computational domain, reducing the use of vector quantities to the conducting parts. We propose to approximate these two quantities on nonmatching grids so as to be able to tackle a problem where the conducting part can move in the global domain. The connection between the two grids is managed with mortar element techniques.