Application of Stochastic FEM in the Analysis of Magnetic Fields

The stochastic finite element method designed to deal with indeterminate elements in actual magnetic materials was studied. Permeability is considered as a variable in a homogeneous two-dimensional spatial stochastic process, and the analysis results are compared with those of the usual determinate finite-element method. Both methods produced identical results over a wide range. But the advantage of the probabilistic approach is that the variance can be evaluated directly without performing recursion.