A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines

The paper deals with the application of a non-conforming domain decompositi on method to the problem of the computation of induced currents in electric engines with moving conductors. The eddy currents model is considered as a quasi-static approximation of Maxwell equations and we study its two-dimen sional formulation with either the modified magnetic vector potential or th e magnetic field as primary variable. Two discretizations are proposed, the first one based on curved finite elements and the second one based on iso- parametric finite elements in both the static and moving parts. The couplin g is obtained by means of the mortar element method (see [7]) and the appro ximation on the whole domain turns out to be non-conforming. In both cases optimal error estimates are provided. Numerical tests are then proposed in the case of standard first order finite elements to test the reliability an d precision of the method. An application of the method to study the influe nce of the free part movement on the currents distribution is also provided .