The improved element-free Galerkin method for three-dimensional transient heat conduction problems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

85 Scopus Citations
View graph of relations



Original languageEnglish
Pages (from-to)1568-1580
Journal / PublicationScience China: Physics, Mechanics and Astronomy
Issue number8
Publication statusPublished - Aug 2013


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. © 2013 Science China Press and Springer-Verlag Berlin Heidelberg.

Research Area(s)

  • improved element-free Galerkin (IEFG) method, improved moving least-squares (IMLS) approximation, penalty method, transient heat conduction, weighted orthogonal function