Comparison of smoothed point interpolation methods in linear static problems

Smoothed point interpolation methods (S-PIM), when compared with the standard finite element method (FEM) in the study of static linear problems, present interesting results due certain characteristics of their formulation. In general, meshfree methods have been shown to be more accurate and efficient. The proposed study aims to present a comparison between the Node-Based Smoothed Radial Point Interpolation Method with polynomial reproduction (NS-RPIMp), Edge-Based Smoothed Radial Point Interpolation Method with polynomial reproduction (ES-RPIMp) and Cell-Based Smoothed Radial Point Interpolation Method with polynomial reproduction (CS-RPIMp), applied to static linear-elastic problems. Several numerical simulations, performed using differents strategies for support nodes selection based on the T-schemes (T3-, T4-, T6/3- and T2L-schemes), are presented, providing a relevant amount of results that allow to understand the behaviour of each one of these methods and
schemes with respect to the accuracy and convergence rate.