文献类型：期刊文献

中文题名：The improved element-free Galerkin method for three-dimensional transient heat conduction problems

英文题名：The improved element-free Galerkin method for three-dimensional transient heat conduction problems

作者：Zhang Zan[1];Wang JianFei[2];Cheng YuMin[2];Liew, Kim Meow[3]

机构：[1]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[2]Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China;[3]City Univ Hong Kong, Dept Civil & Architectural Engn, Hong Kong, Hong Kong, Peoples R China

年份：2013

卷号：56

期号：8

起止页码：1568

中文期刊名：Science China(Physics,Mechanics & Astronomy)

外文期刊名：SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY

收录：;EI(收录号：20133016529913);Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000321871800020)】；

基金：This work was supported by the National Natural Science Foundation of China (Grant No. 11171208) and Shanghai Leading Academic Discipline Project (Grant No. S30106).

语种：英文

中文关键词：weighted orthogonal function; improved moving least-squares （IMLS） approximation; improved element-free Galerkin （IEFG） method; penalty method; transient heat conduction

外文关键词：weighted orthogonal function; improved moving least-squares (IMLS) approximation; improved element-free Galerkin (IEFG) method; penalty method; transient heat conduction

摘要：With the improved moving least-squares (IMLS) approximation, an orthogonal function system with a weight function is used as the basis function. The combination of the element-free Galerkin (EFG) method and the IMLS approximation leads to the development of the improved element-free Galerkin (IEFG) method. In this paper, the IEFG method is applied to study the partial differential equations that control the heat flow in three-dimensional space. With the IEFG technique, the Galerkin weak form is employed to develop the discretized system equations, and the penalty method is applied to impose the essential boundary conditions. The traditional difference method for two-point boundary value problems is selected for the time discretization. As the transient heat conduction equations and the boundary and initial conditions are time dependent, the scaling parameter, number of nodes and time step length are considered in a convergence study.
With the improved moving least-squares (IMLS) approximation, an orthogonal function system with a weight function is used as the basis function. The combination of the element-free Galerkin (EFG) method and the IMLS approximation leads to the development of the improved element-free Galerkin (IEFG) method. In this paper, the IEFG method is applied to study the partial differential equations that control the heat flow in three-dimensional space. With the IEFG technique, the Galerkin weak form is employed to develop the discretized system equations, and the penalty method is applied to impose the essential boundary conditions. The traditional difference method for two-point boundary value problems is selected for the time discretization. As the transient heat conduction equations and the boundary and initial conditions are time dependent, the scaling parameter, number of nodes and time step length are considered in a convergence study.