A moving IRBFN-based galerkin meshless method

Phong B H Le, Timon Rabczuk, Nam Mai-Duy, Thanh Tran-Cong

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A novel meshless method based on Radial Basis Function networks (RBFN) and variational principle (global weak form) is presented in this paper. In this method, the global integrated RBFN is localized and coupled with the moving least square method via the partition of unity concept. As a result, the system matrix is symmetric, sparse and banded. The trial and test functions satisfy the Kroneckerdelta property, i.e. Φi(xj) = δij. Therefore, the essential boundary conditions are imposed in strong form as in the FEMs. Moreover, the proposed method is applicable to scattered nodes and arbitrary domains. The method is examined with several numerical examples and the results indicate that the accuracy and the rate of convergence of the proposed method are superior to those of the EFG method using linear basis functions. In addition, the method does not exhibit any volumetric locking near the limit of incompressible material.

Original languageEnglish
Pages (from-to)25-52
Number of pages28
JournalCMES - Computer Modeling in Engineering and Sciences
Volume66
Issue number1
Publication statusPublished - 2010 Dec 13
Externally publishedYes

Keywords

  • Crack
  • Elasticity
  • Local IRBF
  • Meshless
  • Moving IRBF
  • Partition of unity
  • RBF
  • Superconvergence

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

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  • Cite this

    Le, P. B. H., Rabczuk, T., Mai-Duy, N., & Tran-Cong, T. (2010). A moving IRBFN-based galerkin meshless method. CMES - Computer Modeling in Engineering and Sciences, 66(1), 25-52.