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An Improved Element-Free Galerkin Method for a Kind of KdV Equations
Applied Mechanics and Materials, 2011An 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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International Journal of Computational Materials Science and Engineering, 2018
In this paper, the interpolating moving least-squares (IMLS) method based on a nonsingular weight function is applied to obtain the approximation function.
Fengbin Liu, Yumin Cheng
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In this paper, the interpolating moving least-squares (IMLS) method based on a nonsingular weight function is applied to obtain the approximation function.
Fengbin Liu, 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, 2003AbstractIn 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), 2021In 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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Advances in Applied Mathematics and Mechanics
In this study, we combine orthonormal basis functions with the traditional moving least-squares (MLS) approximation to establish a new approximation function via the improved moving least-squares (IMLS) approximation, and the corresponding formula ...
Heng Cheng, Dongqiong Liang, Fengbin Liu
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In this study, we combine orthonormal basis functions with the traditional moving least-squares (MLS) approximation to establish a new approximation function via the improved moving least-squares (IMLS) approximation, and the corresponding formula ...
Heng Cheng, Dongqiong Liang, Fengbin Liu
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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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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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An improved interpolating dimension splitting element-free Galerkin method for 3D wave equations
Engineering Analysis with Boundary Elements, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng, Zhijuan, Chi, Xiaofei
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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 ...
Jeetender Singh Kushawaha, B. K. Misra
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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 ...
Jeetender Singh Kushawaha, B. K. Misra
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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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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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Analyzing 2D temperature field problems in the improved element-free Galerkin method
2011 International Conference on Multimedia Technology, 2011This paper presents an improved moving least-square (IMLS) approximation in which the orthogonal function system with a weight function is used as the basis function. The IMLS approximation has a greater computational efficiency and precision than the existing MLS, and does not lead to an ill-conditioned system of equations.
null Yufeng Zhao +3 more
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