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Improved Element-Free Galerkin method (IEFG) for solving three-dimensional elasticity problems

Interaction and multiscale mechanics, 2010
The essential idea of the element-free Galerkin method (EFG) is that moving least-squares (MLS) approximation are used for the trial and test functions with the variational principle (weak form). By using the weighted orthogonal basis function to construct the MLS interpolants, we derive the formulae for an improved element-free Galerkin (IEFG) method ...
Zan Zhang, K.M. Liew
openaire   +1 more source

Topology optimization using the improved element-free Galerkin method for elasticity *

Chinese Physics B, 2017
The improved element-free Galerkin (IEFG) method of elasticity is used to solve the topology optimization problems. In this method, the improved moving least-squares approximation is used to form the shape function. In a topology optimization process, the entire structure volume is considered as the constraint.
Yi Wu   +3 more
openaire   +1 more source

An Element-Free Galerkin Coupled with Improved Infinite Element Method for Exterior Acoustic Problem

Journal of Theoretical and Computational Acoustics, 2019
It is known that the variable-order infinite acoustic wave envelope element (WEE) must be coupled with finite element method (FEM) by element matching for computing acoustic field radiated from radiators with complex geometric shapes. Therefore, the WEEs have to be reconstructed when the finite elements are refined or changed.
Shaowei Wu   +3 more
openaire   +1 more source

An improved complex variable element-free Galerkin method for two-dimensional large deformation elastoplasticity problems

Computer Methods in Applied Mechanics and Engineering, 2014
D M Li, K M Liew, Yumin Cheng
exaly  

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

Engineering Structures, 2020
Heng Cheng   +2 more
exaly  

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