A new coupled MLPG-FE method for electromagnetic field computations

Considering an analysis of advantages and disadvantages of existing coupled finite element (FE) and meshless methods (MM), a new coupled MLPG-FE (meshless local Petrov-Galerkin-FE) method is proposed and successfully applied to electromagnetic field computations. A transition region between the MM and FE domains is defined and a new ramp function is chosen In this work. Instead of traditional coupled methods, this technique can ensure continuity of the displacement or potential variable and its derivatives as well as the exact implementation of Dirichlet boundary conditions. The accurate numerical results for electromagnetic problems are presented.