First, two particles with parallel long axes and a gap of 2.5 nm have been simulated. Their interaction is caused by magnetic stray fields. The hybrid finite element / boundary element method, which has been used in all simulations, made it possible to restrict the finite element mesh to the magnetic particles. Thus, it was not necessary to create a finite element mesh in the surrounding space. A mesh only on the surface of the particles was used by the boundary element method to calculate the demagnetizing fields.