Research And Application Of Element-Free Method In Three-Dimension Electromagnetic Field Analysis

Element-Free Method (EFM) is a new numerical method, which has simple, definite form and can achieve highly accurate solution. The approximated solution is obtained by Moving Least Square Method (MLS). EFM requires only the definition of a set of nodes distributed over the entire analysis region without element. This paper systematically expounds the basic theory of EFM, importantly introduces the treatment of domain of influence, and discusses the factors which may affect the calculation precision. Based the theoretical formulae and implement technology of two-dimensional EFM, the three-dimensional (3D) EFM equations are derived. The EFM program about the 3D static electromagnetic field is implemented successfully in MATLAB environment. Compared with the finite element method (FEM), the results show that EFM satisfies the precision, and also simplifies the pre-disposal process.