The hybrid complex variable element-free Galerkin method for 3D elasticity problems

2020 ◽  
Vol 219 ◽  
pp. 110835 ◽  
Author(s):  
Heng Cheng ◽  
Miaojuan Peng ◽  
Yumin Cheng ◽  
Zhijuan Meng
Keyword(s):  
Galerkin Method ◽  
Complex Variable ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Hybrid Complex ◽  
Elasticity Problems ◽  
3D Elasticity ◽  
Element Free

An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

2012 ◽  
Vol 21 (2) ◽  
pp. 020204 ◽  
Author(s):  
Fu-Nong Bai ◽  
Dong-Ming Li ◽  
Jian-Fei Wang ◽  
Yu-Min Cheng
Keyword(s):  
Galerkin Method ◽  
Complex Variable ◽  
Two Dimensional ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Elasticity Problems ◽  
Element Free

A NEW ELEMENT-FREE GALERKIN METHOD BASED ON IMPROVED COMPLEX VARIABLE MOVING LEAST-SQUARES APPROXIMATION FOR ELASTICITY

2012 ◽  
Vol 01 (01) ◽  
pp. 1250011 ◽  
Author(s):  
HONGPING REN ◽  
YUMIN CHENG
Keyword(s):  
Least Squares ◽  
Complex Variable ◽  
Weak Form ◽  
Moving Least Squares ◽  
Two Dimensional ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Elasticity Problems ◽  
Element Free

In this paper, by constructing a new functional, an improved complex variable moving least-squares (ICVMLS) approximation is presented. Based on element-free Galerkin (EFG) method and the ICVMLS approximation, a new complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems is presented. Galerkin weak form is used to obtain the discretized equations and the essential boundary conditions are applied with Lagrange multiplier. Then the formulae of the new CVEFG method for two-dimensional elasticity problems are obtained. Compared with the conventional EFG method, the new CVEFG method has greater computational precision and efficiency. For the purposes of demonstration, some selected numerical examples are solved using the ICVEFG method.

scholarly journals The improved complex variable element-free Galerkin method for the analysis of Kirchhoff plates

2017 ◽  
Vol 47 (9) ◽  
pp. 094601 ◽  
Author(s):  
BinHua WANG ◽  
YongQi MA ◽  
Wei FENG ◽  
YuMin CHENG
Keyword(s):  
Galerkin Method ◽  
Complex Variable ◽  
Element Free Galerkin Method ◽  
Kirchhoff Plates ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Element Free

Complex variable element-free Galerkin method for viscoelasticity problems

2012 ◽  
Vol 21 (9) ◽  
pp. 090205 ◽  
Author(s):  
Yu-Min Cheng ◽  
Rong-Xin Li ◽  
Miao-Juan Peng
Keyword(s):  
Galerkin Method ◽  
Complex Variable ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Variable Element ◽  
Element Free
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