An integration procedure for meshless methods using Kriging interpolations

Abstract

A new method is presented in this paper to evaluate the integrals of the Galerkin weak form in meshless methods without any background mesh. Simple Kriging interpolation method has been used to obtain the weights of the integration points. Then, the integration of the Galerkin weak form is evaluated using the introduced weights of the integration points. In the presented method the required integration points can be the same as nodal points. The numerical results show the efficiency of this integration technique in 2D elasticity problems.