The Improved Element-Free Galerkin Method for Anisotropic Steady-State Heat Conduction Problems

作     者：Heng Cheng Zebin Xing Miaojuan Peng 

作者机构：School of Applied ScienceTaiyuan University of Science and TechnologyTaiyuan030024China Department of Civil EngineeringSchool of Mechanics and Engineering ScienceShanghai UniversityShanghai200444China 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2022年第132卷第9期

页      面：945-964页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Natural Science Foundation of Shanxi Province(Grant No.20210302124388) 

主　　题：Improved element-free Galerkin method penalty method weak form anisotropic steady-state heat conduction improved moving least-squares approximation 

摘      要：In this paper,we considered the improved element-free Galerkin(IEFG)method for solving 2D anisotropic steadystate heat conduction *** improved moving least-squares(IMLS)approximation is used to establish the trial function,and the penalty method is applied to enforce the boundary conditions,thus the final discretized equations of the IEFG method for anisotropic steady-state heat conduction problems can be obtained by combining with the corresponding Galerkin weak *** influences of node distribution,weight functions,scale parameters and penalty factors on the computational accuracy of the IEFG method are analyzed respectively,and these numerical solutions show that less computational resources are spent when using the IEFG method.