Comparison of smoothed point interpolation methods in linear static problems

Resumo

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 formu-
lation. 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 polyno-
mial reproduction (NS-RPIMp), Edge-Based Smoothed Radial Point Interpolation Method with polynomial repro-
duction (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.