Abstract
This paper deals with a large-scale 3D time-harmonic eddy current analysis using the Hierarchical Domain Decomposition Method (HDDM). To improve the convergence of the interface problem of the HDDM and to reduce the computation time, the HDDM is applied to the mixed formulation with the Lagrange multiplier. Because the conventional formulation is singular, it is expected that the characteristic of convergence of the interface problem is made bad. Therefore, in this paper, the mixed formulation of the A method with the Lagrange multiplier that is not singular is considered. As a result, the convergence of the interface problem is much improved, and the time-harmonic eddy current problem with 3.5 billion degrees of freedom is solved in about 9 hours.
