Element{Free Galerkin Method for Electromagnetic Field Computations

|Although numerically very e cient the nite element method exhibits di culties whenever the remeshing of the analysis domain must be performed. For such problems utilizing meshless computation methods is very promising. In this paper, a kind of meshless method called the element-free Galerkin method is introduced for electromagnetic eld computation. The mathematical background for the moving least square approximation employed in the method is given, and the numerical implementation is brie y discussed. Application of the proposed method for electromagnetic eld computation and veri cation of the obtained results using theoretically known solution is also presented. Index terms|Element-free Galerkin methods, least squares methods, nite element methods, electrostatic analysis, voltage transformers.