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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems [PDF]
Entropy, 2022 The element-free Galerkin (EFG) method with penalty for Stokes problems is proposed and analyzed in this work. A priori error estimates of the penalty method, which is used to deal with Dirichlet boundary conditions, are derived to illustrate its ...
Tao Zhang, Xiaolin Li
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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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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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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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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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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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Calculation of continuous casting billet solidification based on element-free Galerkin method
工程科学学报, 2020 The mold is the core component of a continuous caster, and the complex metallurgical behavior in the mold is the primary factor determining the quality of continuous casting slabs.
Ning WANG +3 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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Journal of Function Spaces, 2021 A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite
Mostafa Abbaszadeh +3 more
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Meshless Methods for Computation of Overhead Transmission Lines Electromagnetic Fields
Journal of Microwaves, Optoelectronics and Electromagnetic Applications, 2021 The meshless element-free Galerkin method (EFGM) is used to solve partial differential equations responsible for obtaining the electromagnetic fields generated by a transmission line.
G. C. Ribeiro +3 more
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