A New procedure to construct background mesh in the element free Galerkin method

The element free Galekin (EFG) method is a meshless procedure that employs moving least squares (MLS) approximation to construct shape functions and uses global weak form of the equation. Using the MLS approximation reduces necessity to mesh generation for approximation and this method still needs to a background mesh or cell structure for integration purpose. A new strategy for generation background mesh is purposed. The numerical results reveal the efficiency of the presented method.