A Coupled Method of Meshfree Poly-Cell Galerkin and Finite Element for Elasticity Problems

This paper developed a new method named as MPG/FEM method which is constructed by coupling the meshfree poly-cell Galerkin method (MPG) with the finite element method (FEM) for the analysis of elasticity problems. The present MPG/FEM method synthesizes the advantages of both FEM and MPG. MPG/FEM method not only simplifies the implementation of essential boundary conditions like FEM, but also inherits good accuracy from MPG. The numerical tests in the present work demonstrate that the results obtained by MPG/FEM method show an excellent agreement with the theoretical results. The coupled method is very accurate and has a promising potential for the analyses of more complicated elasticity problems.