Development of the Smoothed Natural Neighbor Petrov-Galerkin Method

Abstract:

The strain smoothing technique is employed in the natural neighbor Petrov-Galerkin method (NNPG), and the so-called smoothed natural neighbor Petrov-Galerkin method is proposed and studied. This method inherits the advantages of the generalized MLPG method and possesses the easy imposition of essential boundary condition and the domain integration is completely avoided. In comparison with the traditional NNPG, the smoothed natural neighbor Petrov-Galerkin method can obtained more stable and accurate result without increasing the computational cost.

• Periodical: Applied Mechanics and Materials (Volumes 201-202)
• Pages: 198-201
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.201-202.198
• Online since: October 2012
• Authors: Kai Wang, Shen Jie Zhou, Zhi Feng Nie
• Keywords: Elasticity, Meshless Method, Natural Neighbor Interpolation, Petrov-Galerkin Method, Strain Smoothing

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