One of mesh free methods, element Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using moving least square interpolation based a set nodes that arbitrarily distributed in specified domain. Discrete system equations derived from variation form equations. Numerical examples foundation given establishing Matlab code. results t...

In this paper, we develop the locally divergence-free discontinuous Galerkin method for numerically solving the Maxwell equations. The distinctive feature of the method is the use of approximate solutions that are exactly divergence-free inside each element. As a consequence, this method has a smaller computational cost than that of the discontinuous Galerkin method with standard piecewise poly...

The diffuse element method developed by Nayroles et al. is a new way for solving partial differential equations. In this method, only a mesh of nodes and a boundary description is needed to develop the Galerkin equations. The approximating functions are polynomials fitted to the nodal values of each local domain by a weighted least squares approximation. Belytschko et al. developed an alternati...

A meshless approach to the analysis of arbitrary Kirchhoff plates by the Element-Free Galerkin (EFG) method is presented. The method is based on moving least squares approximant. The method is meshless, which means that the discretization is independent of the geometric subdivision into “finite elements”. The satisfaction of the C1 continuity requirements are easily met by EFG since it requires...