The low-frequency performance of H- phi and T- Omega methods using edge elements for 3D eddy current problems

Using edge elements, it is possible to solve directly for the vector magnetic field in the conducting material of a time-harmonic eddy-current problem, and for a magnetic scalar potential in the nonconducting regions. This is the H- phi method. Edge elements also allow the magnetic field, H, to be split into the gradient of a scalar potential, and another, rotational part. This is the T- Omega method. The H- phi and T- Omega methods provide the same answers. However, the matrix equation obtained from T- Omega is better conditioned at low frequencies, and can be solved more efficiently.<
>