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Heterogeneous Heat Conduction Problems by an Improved Element-Free Galerkin Method

Numerical Heat Transfer, Part B: Fundamentals, 2014
In this article an improved element-free Galerkin method is proposed to solve heat conduction problems with heterogeneous media. Because the method almost possesses interpolation property, the implementation of essential boundary condition is as simple as that in the finite-element method.
Xiaohua Zhang, Ping Zhang
semanticscholar   +2 more sources

Analyzing three-dimensional potential problems with the improved element-free Galerkin method

Computational Mechanics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zan Zhang, Peng Zhao, K. Liew
semanticscholar   +3 more sources

The improved element free Galerkin method for 2D thermo elasticity problem

AIP Conference Proceedings, 2016
The Improved Element Free Galerkin Method is the result of a combination between the Improved Moving Least Square (IMLS) approximation and the Element Free GalerkinMethod.This mesh free method, always used to study mechanical problems and potential problems, is used in this paper as an initiation to treat the thermo elasticity problem.
I. Debbabi, H. B. Salah
semanticscholar   +2 more sources

Solving unsteady Schrödinger equation using the improved element-free Galerkin method*

Chinese Physics B, 2016
By employing the improved moving least-square (IMLS) approximation, the improved element-free Galerkin (IEFG) method is presented for the unsteady Schrodinger equation. In the IEFG method, the two-dimensional (2D) trial function is approximated by the IMLS approximation, the variation method is used to obtain the discrete equations, and the essential ...
R. Cheng, Yumin Cheng
semanticscholar   +2 more sources

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, Y. Ma, Wei Feng, Yumin Cheng
semanticscholar   +3 more sources

Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems*

Chinese Physics B, 2017
We first give a stabilized improved moving least squares (IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems.
Yaozong Tang, Xiao-Lin Li
semanticscholar   +3 more sources

Analysis of the generalized Camassa and Holm equation with the improved element-free Galerkin method

Chinese Physics B, 2013
In this paper, we analyze the generalized Camassa and Holm (CH) equation by the improved element-free Galerkin (IEFG) method. By employing the improved moving least-square (IMLS) approximation, we derive the formulas for the generalized CH equation with the IEFG method.
Chen Rong-jun, Wei Qi
semanticscholar   +2 more sources

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. Liew
semanticscholar   +2 more sources

Improvement of the Element-Free Galerkin Method for Electromagnetic Field Calculation

IEEE Transactions on Appiled Superconductivity, 2004
The element-free Galerkin method (EFGM) is meshless method, it can solve some problems that the finite element method (FEM) can not solve effectively in electromagnetic field, such as thin plate problems, narrow gap problems, moving conductors, etc. In this paper, an improved formulation of the EFGM is proposed for electromagnetic field computations ...
S. Liu, Q. Yang, H. Chen, G. Xu, F. Liu
openaire   +1 more source

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