This paper describes a scheme which allows two separate finite element mesh
es to slide into and thus overlap each other. The Lagrange Multipliers meth
od is used to couple the two meshes together at their boundary. Overlapping
elements are dealt with by adjusting the contributions of the elements of
one of the two meshes to the system matrix according to the extent of overl
ap in such a way that at total overlap, those elements are effectively deco
upled from the model. Applications include the modelling of electromagnetic
plunger type devices.