On weight functions for Chebyshev quadrature

1975 ◽  
Vol 24 (1) ◽  
pp. 13-18 ◽  
Author(s):  
K. Salkauskas
Keyword(s):  
Weight Functions ◽  
Chebyshev Quadrature

On Weight Functions Admitting Chebyshev Quadrature

1987 ◽  
Vol 49 (179) ◽  
pp. 251 ◽  
Author(s):  
Klaus-Jurgen Forster
Keyword(s):  
Weight Functions ◽  
Chebyshev Quadrature

On weight functions admitting Chebyshev quadrature

1987 ◽  
Vol 49 (179) ◽  
pp. 251-251 ◽  
Author(s):  
Klaus-J{ürgen F{örster
Keyword(s):  
Weight Functions ◽  
Chebyshev Quadrature

A Meshless Method Based on the Nonsingular Weight Functions for Elastoplastic Large Deformation Problems

2019 ◽  
Vol 11 (01) ◽  
pp. 1950006 ◽  
Author(s):  
Fengbin Liu ◽  
Qiang Wu ◽  
Yumin Cheng
Keyword(s):  
Large Deformation ◽  
Numerical Solutions ◽  
Weak Form ◽  
Weight Functions ◽  
Computational Accuracy ◽  
Lagrange Formulation ◽  
Element Free Galerkin ◽  
Penalty Factor ◽  
Element Free ◽  
Large Deformation Problems

In this study, based on a nonsingular weight function, the improved element-free Galerkin (IEFG) method is presented for solving elastoplastic large deformation problems. By using the improved interpolating moving least-squares (IMLS) method to form the approximation function, and using Galerkin weak form based on total Lagrange formulation of elastoplastic large deformation problems to form the discretilized equations, which is solved with the Newton–Raphson iteration method, we obtain the formulae of the IEFG method for elastoplastic large deformation problems. In numerical examples, the influences of the penalty factor, scale parameter of influence domain and weight functions on the computational accuracy are analyzed, and the numerical solutions show that the IEFG method for elastoplastic large deformation problems has higher computational efficiency and accuracy.

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