An edge-based smoothed finite element method for nonlinear magnetostatic and eddy current analysis

In this work, an edge-based smoothed finite element method (ES-FEM) is presented to solve electromagnetic field problems. First, the analysis domain is discretized into a set of tetrahedron cells that can be much easily generated automatically for complicated domains, and edge-based smoothing domains are further constructed associated with edges of tetrahedron elements. The Smoothed Galerkin Weak form is then evaluated based on edge-based smoothing domains. The ES-FEM is implemented here to solve nonlinear magnetostatic and eddy current problems, and to observe its properties using linear tetrahedral elements, in which relatively poor result is carried with standard finite element method (FEM). Numerical examples demonstrate that results obtained by the present ES-FEM are much more accurate than ones by standard FEM, and agree well with the experimental ones. It possesses potentials in the successful applications of electromagnetic problems.