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“FEM” = “Finite Element Method”
“EFG” = “Element Free Galerkin”
“MLS” = “Moving Least Square”
“MK = “Moving Kriging interpolation”
“m” = number of moving local interpolating polynomial basis functions
The reference to Noguchi et al 2000 is:
Noguchi, H., Kawashima, T. and Miyamura, T. [2000] Element free analysis of shell and spatial structures, Int. J. Numer. Meth. Eng. 47, 1215–1240.
These images are from:
V. Sayakoummane, W. Kanok-Nukulchai (School of Engineering and Technology, Asian Institute of Technology Klong Luang, Pathumthani, 12120, Thailand),
“A meshless analysis of shells based on moving kriging interpolation”, Int J Comput Methods, 4 (04) (2007), pp. 543–565
ABSTRACT: An Element Free Galerkin Method (EFGM) for the analysis of degenerated shell structures is presented. The method is based on the Moving Kriging (MK) Interpolation function. The properties of the interpolation function possess the Kronecker delta property. With the MK Interpolation function no additional treatment required at the boundary conditions compared with that of using Moving Least Square (MLS) approximation. This deficiency of MLS at boundary condition has been definitely eradicated. The membrane and shear locking in the numerical analysis for degenerated shell problems has been alleviated by using higher order and removed by using quartic order of polynomials. Numerical benchmark examples for shell structures are presented to validate the proposed approach.
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