Adaptive finite element frequency domain method for eddy current problems

In the present paper, adaptive finite element methods are studied for time-harmonic eddy current problems in the case of three-dimensional isotropic and linear materials. We adopt the formulation based on the magnetic field and a magnetic scalar potential in this paper, since it needs the least number of unknowns. Reliable and efficient a posteriori error estimates are obtained and the efficiency of the adaptive algorithm is demonstrated by numerical and engineering experiments.