Results 1 to 10 of about 18,168 (97)
The Improved Element-Free Galerkin Method for 3D Helmholtz Equations [PDF]
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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Computer Assisted Methods in Engineering and Science, 2017 In this paper, a comparison between the improved element-free Galerkin (IEFG) method, based on the improved moving least square (IMLS) approximation, and the element-free Galerkin (EFG) method, based on the moving least square (MLS) approximation, is ...
Imen Debbabi +2 more
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Improved complex variable element-free Galerkin method for viscoelasticity problems [PDF]
Acta Physica Sinica, 2014 In this paper, based on the improved complex variable least-square (ICVMLS) approximation, the improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional viscoelasticity problems is proposed. The ICVMLS approximation is used to form the shape function, the Galerkin weak form is used to obtain the system equations, and the ...
null Peng Miao-Juan, null Liu Qian
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An improved interpolating element-free Galerkin method for elasticity [PDF]
Chinese Physics B, 2013 Based on the improved interpolating moving least-squares (IIMLS) method and the Galerkin weak form, an improved interpolating element-free Galerkin (IIEFG) method is presented for two-dimensional elasticity problems in this paper. Compared with the interpolating moving least-squares (IMLS) method presented by Lancaster, the IIMLS method uses the ...
Feng-Xin Sun, Ju-Feng Wang, Yu-Min Cheng
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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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On Interpolative Meshless Analysis of Orthotropic Elasticity
Buildings, 2023 As one possible alternative to the finite element method, the interpolation characteristic is a key property that meshless shape functions aspire to. Meanwhile, the interpolation meshless method can directly impose essential boundary conditions, which is
You-Yun Zou +4 more
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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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Mathematics, 2021 By introducing the dimension splitting method (DSM) into the generalized element-free Galerkin (GEFG) method, a dimension splitting generalized interpolating element-free Galerkin (DS-GIEFG) method is presented for analyzing the numerical solutions of ...
Fengxin Sun +3 more
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Mathematics, 2021 A numerical model for the two-dimensional nonlinear elastic–plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method.
Yajie Deng +3 more
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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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