Meshless methods: A review and computer implementation aspects

Vinh Phu Nguyen, Timon Rabczuk, Stéphane Bordas, Marc Duflot

Research output: Contribution to journalArticle

745 Citations (Scopus)


The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.

Original languageEnglish
Pages (from-to)763-813
Number of pages51
JournalMathematics and Computers in Simulation
Issue number3
Publication statusPublished - 2008 Dec 1
Externally publishedYes



  • Computer implementation
  • Extrinsic discontinuities
  • Intrinsic enrichment
  • Meshless methods

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics
  • Theoretical Computer Science
  • Computer Science(all)

Cite this