A comparative study on the performance of meshless approximations and their integration

W. Quak, Antonius H. van den Boogaard, D. Gonzalez, E Cueto

Research output: Contribution to journalArticleAcademicpeer-review

20 Citations (Scopus)
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The goal of this research is to study the performance of meshless approximations and their integration. Two diffuse shape functions, namely the moving least-squares and local maximum-entropy function, and a linear triangular interpolation are compared using Gaussian integration and the stabilized conforming nodal integration scheme. The shape functions and integration schemes are tested on two elastic problems, an elasto-plastic problem and the inf-sup test. The elastic computation shows a somewhat lower accuracy for the linear triangular interpolation than for the two diffuse functions with the same number of nodes. However, the computational effort for this interpolation is considerably lower. The accuracy of the calculations in elasto-plasticity depends to great extend on the used integration scheme. All shape functions, and even the linear triangular interpolation, perform very well with the nodal integration scheme and locking-free behavior is shown in the inf-sup test.
Original languageEnglish
Pages (from-to)121-137
Number of pages16
JournalComputational mechanics
Issue number2
Publication statusPublished - 2011


  • Meshless methods – Nodal integration – Elasto-plasticity
  • IR-77837
  • METIS-277910


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