An efficient computation of saturable magnetic field problem using locally orthogonal discretization

Faster magnetic field computation using locally orthogonal discretization, which was previously proposed for two-dimensional field problems, is applied to saturable magnetic field problems. The locally orthogonal discretization method requires a single potential to establish the upper- and lower-bounded solutions, so that the functional as well as potential are evaluated in the most efficient manner. Application of the method has yielded excellent results, even though a small number of elements is used.<>