Numerical implementation of meshless method for electromagnetic field governing equations

For electromagnetic governing equations formulated by magnetic vector potential and electric scalar potential, its detailed numerical implementation is achieved by using meshless method and Galerkin approach. And essential boundary and interface condition of electromagnetic field are imposed by means of Lagrange multiplier method. Furthermore, the influences of interpolation point number at essential boundary and interface on computational results are also discussed. Examples are given to validate the effects of meshless method and Lagrange multiplier approach for electromagnetic field.