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An Improved Element-Free Galerkin Method for a Kind of KdV Equations

Applied Mechanics and Materials, 2011
An improved element-free Galerkin method is presented for the numerical solution of the third-order nonlinear KdV equation by coupling the interpolating moving least-squares (IMLS) method with the Galerkin method. The shape function of the IMLS method satisfies the property of Kronecker Delta function, and then the essential boundary condition can be ...
Feng Xin Sun, Ju Feng Wang
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The Improved Element-Free Galerkin Method for Diffusional Drug Release Problems

International Journal of Applied Mechanics, 2020
By using the improved moving least-square (IMLS) approximation to present the shape function, the improved element-free Galerkin (IEFG) method is investigated to solve diffusional drug release problems in this paper. In order to get the discretized equation system, Galerkin weak form of a diffusional drug release problem is used with applying ...
Guodong Zheng, Yumin Cheng
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An improved crack analysis technique by element‐free Galerkin method with auxiliary supports

International Journal for Numerical Methods in Engineering, 2003
AbstractIn this study, an improved crack analysis technique by element‐free Galerkin method (EFGM) with auxiliary supports is proposed. To efficiently model the singularity and the discontinuity of the crack, a singular basis function which varies only on the auxiliary supports is added to enrich the standard EFG approximation and the discontinuous ...
Lee, Sang-Ho, Yoon, Young-Cheol
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Application of an Improved Interpolating Element-free Galerkin Method in Magnetic Field Calculation

2021 IEEE International Magnetic Conference (INTERMAG), 2021
In this paper, an improved interpolating element-free Galerkin method (IIEFGM) with nonsingular weight function is introduced to calculate the magnetic field distribution of electrical machines. Since the shape function satisfies the property of the Kronecker-delta function, the IIEFGM can impose the boundary conditions directly.
Fan Yang, Chenglin Gu
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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
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Element Free and Improved Element Free Galerkin Methods for One and Two-Dimensional Potential Problems

2015
Potential difficulties appears with various physical and engineering problems where functions satisfy a given partial differential equations and particular boundary conditions. From problems which are time independent and involve only space coordinates, one- dimensional examples and bidimensional diffusion equations are studied using two meshless ...
Imen Debbabi   +2 more
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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.
Imen Debbabi, Hédi Belhadj Salah
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The Improved Interpolating Dimension Splitting Element-Free Galerkin Method for 3D Potential Problems

International Journal of Applied Mechanics, 2021
This paper proposes the improved interpolating dimension splitting element-free Galerkin (IIDSEFG) method based on the nonsingular weight function for three-dimensional (3D) potential problems. The core of the IIDSEFG method is to transform the 3D problem domain into a series of two-dimensional (2D) problem subdomains along the splitting direction ...
Zhijuan Meng   +3 more
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Improved imposition of displacement boundary conditions in element free Galerkin method using penalty method

International Journal of Computer Aided Engineering and Technology, 2016
The paper presents improved method for imposition of displacement boundary conditions in the element free Galerkin method. The proposed method uses the different approach for imposition of displacement boundary conditions. The computer time required using this method is comparatively lesser in comparison to Lagrange multiplier and penalty method which ...
J. S. Kushawaha, B. K. Misra
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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 ...
Rong-Jun Cheng, Yu-Min Cheng
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