  The problem under consideration is that of time-harmonic eddy current
problems in linear ferromagnetic materials surrounded by a dielectric medium
with a smooth common interface. Assuming axisymmetric geometries and
orthoradial axisymmetric data, we construct an efficient multiscale expansion
for the orthoradial solution that provides reduced computational costs. We
investigate numerically the accuracy of the approach using an analytical
procedure and infinite cylinders as well. It results that the computation of
two asymptotics is sufficient to ensure accurate solutions in the case of low
frequencies.

Numerical Analysis;Numerical Analysis