Results 1 to 10 of about 17,526,953 (165)
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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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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Free convection investigation for a Casson-based Cu−H2O nanofluid in semi parabolic enclosure with corrugated cylinder [PDF]
HeliyonThe optimization of heat transfer in various engineering applications, such as thermal management systems and energy storage devices, remains a crucial challenge. This study aims to investigate the potential of Casson-based Cu-H2O nanofluids in enhancing
Rafel H. Hameed +7 more
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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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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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