Results 1 to 10 of about 24 (23)
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.
europepmc +2 more sources
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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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 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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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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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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Results in Physics, 2020 In this study, the interpolating element-free Galerkin (IEFG) method for solving three-dimensional (3D) transient heat conduction problem is presented.
D. Liu, Y.M. Cheng
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Numerical Analysis of Temperature Influence on Transverse Cracks in Concrete Box‐Girder Bridges
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Concrete box‐girder bridges are widely used in China. During several routine inspections of two‐year‐old highway bridges of this type in the China Central Plains region, we found that transverse cracks are widespread on the bottom flanges of those box girders, mainly distributed in the area of 1/4L to 3/4L of the span.
Hanzheng Xu, Xiaofeng Yan, Yumin Cheng
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Analyzing 3D Advection‐Diffusion Problems by Using the Improved Element‐Free Galerkin Method
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 essential boundary conditions, the Galerkin weak form and the difference method are used to obtain ...
Heng Cheng, Guodong Zheng, Ying Dai
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Numerical Solution of Sine‐Gordon Equation with the Local Kriging Meshless Method
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper develops a local Kriging meshless solution to the nonlinear 2 + 1‐dimensional sine‐Gordon equation. The meshless shape function is constructed by Kriging interpolation method to have Kronecker delta function property for the two‐dimensional field function, which leads to convenient implementation of imposing essential boundary conditions ...
Pengfei Guo +4 more
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