An improved element free galerkin formulation

Igor Kaljević, Sunil Saigal

Research output: Contribution to journalArticlepeer-review

144 Scopus citations

Abstract

An improved formulation of the Element-Free Galerkin Method (EFGM) is presented in this paper. The major shortcoming of the conventional EFGM has been that, due to the use of Moving Least-Squares (MLS) approximation, it does not allow the explicit prescription of boundary conditions. Lagrange multipliers have been employed to circumvent this problem undermining the attractiveness of the method. The proposed EFGM formulation eliminates this shortcoming through the use of a set of MLS interpolants that employ singular weight functions. The validity, accuracy and efficiency of the present formulation are demonstrated through the solution of a variety of example problems.

Original languageEnglish (US)
Pages (from-to)2953-2974
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Volume40
Issue number16
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Keywords

  • Cell subdivision
  • Interpolation functions
  • Variable domain of influence

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