The improved element-free Galerkin method for two-dimensional elastodynamics problems

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

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Original languageEnglish
Pages (from-to)1576-1584
Journal / PublicationEngineering Analysis with Boundary Elements
Issue number12
Online published15 Oct 2013
Publication statusPublished - Dec 2013


In this paper, we derive an improved element-free Galerkin (IEFG) method for two-dimensional linear elastodynamics by employing the improved moving least-squares (IMLS) approximation. In comparison with the conventional moving least-squares (MLS) approximation function, the algebraic equation system in IMLS approximation is well-conditioned. It can be solved without having to derive the inverse matrix. Thus the IEFG method may result in a higher computing speed. In the IEFG method for two-dimensional linear elastodynamics, we employed the Galerkin weak form to derive the discretized system equations, and the Newmark time integration method for the time history analyses. In the modeling process, the penalty method is used to impose the essential boundary conditions to obtain the corresponding formulae of the IEFG method for two-dimensional elastodynamics. The numerical studies illustrated that the IEFG method is efficient by comparing it with the analytical method and the finite element method. © 2013 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Elastodynamics, Improved element-free Galerkin (IEFG) method, Improved moving least squares (IMLS) approximation, Newmark-β algorithm, Penalty method, Weighted orthogonal function