DG-FEM for Time Domain H- $\Phi $ Eddy Current Analysis

A semi-explicit time domain method for solving eddy current problems is presented. The suggested method is based on the discontinuous Galerkin (DG) finite-element approach and the H-Φ formulation of eddy current problem. The DG-technique allows for explicit time stepping in electrically conducting domains without solving a large sparse ill-conditioned linear equations system. The H-Φ field formulation enables the use of the magnetic scalar potential in electrically non-conducting domains that are discretized by using nodal finite elements. The application of the method is demonstrated by a 3-D example and the obtained results are verified by comparison with the corresponding frequency domain solution.