A mortar element approach on overlapping non-nested grids: Application to eddy current non-destructive testing

The paper presents a finite element approach involving strongly coupled field approximations on moving non-matching overlapping grids. It generalizes a preliminary version of the mortar element method on overlapping grids (Maday et al., 2003) to the case where the field source can be in the moving domain and the physical parameters of the moving domain can differ from those of the surroundings. This generalization has been developed to face the need of some industrial sectors for an efficient investigation numerical method in eddy current non-destructive testing.