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A Dimension Splitting-Interpolating Moving Least Squares (DS-IMLS) Method with Nonsingular Weight Functions

open access: yesMathematics, 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
doaj   +3 more sources

A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method [PDF]

open access: yesJournal of Applied Mathematics, 2014
The element-free Galerkin (EFG) method is one of the widely used meshfree methods for solving partial differential equations. In the EFG method, shape functions are derived from a moving least-squares (MLS) approximation, which involves the inversion of ...
Yang Cao, Jun-Liang Dong, Lin-Quan Yao
doaj   +3 more sources

The Improved Element-Free Galerkin Method for 3D Steady Convection-Diffusion-Reaction Problems with Variable Coefficients

open access: yesMathematics, 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
doaj   +1 more source

The Improved Element-Free Galerkin Method for 3D Helmholtz Equations

open access: yesMathematics, 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
doaj   +1 more source

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