An integration procedure for meshless methods using Kriging interpolations

M  Gandomkar; S  H  Dibajian; M  Farzin; S  H  Hashemolhoseini

doi:10.17485/ijst/2013/v6i1.10

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An integration procedure for meshless methods using Kriging interpolations

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i1.10

Year: 2013, Volume: 6, Issue: 1, Pages: 1-9

Original Article

An integration procedure for meshless methods using Kriging interpolations

M. Gandomkar^* , S. H. Dibajian, M. Farzin, S. H. Hashemolhoseini

Department of Mechanical Engineering, Isfahan University of Technology, Iran [email protected]
*Author For Correspondence
Gandomkar
Department of Mechanical Engineering,
Email: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.
Keywords: Integration of Galerkin weak form, Meshless methods, Weights of integration points, Kriging interpolation method