Results 1 to 10 of about 97 (67)
The Error Estimates of the Interpolating Element-Free Galerkin Method for Two-Point Boundary Value Problems [PDF]
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2014 The interpolating moving least-squares (IMLS) method is discussed in detail, and a simpler formula of the shape function of the IMLS method is obtained.
J. F. Wang, S. Y. Hao, Y. M. Cheng
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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
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Engineering Analysis with Boundary Elements, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, M. J., Li, R. X., Cheng, Y. M.
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The Improved Element-Free Galerkin Method for 3D Steady Convection-Diffusion-Reaction Problems with Variable Coefficients [PDF]
Mathematics, 2023 In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
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The Improved Element-Free Galerkin Method for 3D Helmholtz Equations
Mathematics, 2021 The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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A review on recent contribution of meshfree methods to structure and fracture mechanics applications. [PDF]
ScientificWorldJournal, 2014 Meshfree methods are viewed as next generation computational techniques. With evident limitations of conventional grid based methods, like FEM, in dealing with problems of fracture mechanics, large deformation, and simulation of manufacturing processes, meshfree methods have gained much attention by researchers.
Daxini SD, Prajapati JM.
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Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method [PDF]
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the
Guodong Zheng, Heng Cheng
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Mathematics, 2021 By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squares (IMLS) method with nonsingular weight function, a dimension splitting–interpolating moving least squares (DS-IMLS) method is first proposed.
Jufeng Wang, Fengxin Sun, Rongjun Cheng
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A Hybrid Interpolating Meshless Method for 3D Advection–Diffusion Problems
Mathematics, 2022 A hybrid interpolating meshless (HIM) method is established for dealing with three-dimensional (3D) advection–diffusion equations. To improve computational efficiency, a 3D equation is changed into correlative two-dimensional (2D) equations. The improved
Zhijuan Meng, Xiaofei Chi, Lidong Ma
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Analyzing Three-Dimensional Laplace Equations Using the Dimension Coupling Method
Mathematics, 2023 Due to the low computational efficiency of the Improved Element-Free Galerkin (IEFG) method, efficiently solving three-dimensional (3D) Laplace problems using meshless methods has been a longstanding research direction.
Fengbin Liu +3 more
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