Stabilized conforming nodal integration in the natural-element method

Jeong Wahn Yoo, Brian Moran*, Jiun Shyan Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

171 Scopus citations


A stabilized conforming nodal integration scheme is implemented in the natural neighbour method in conjunction with non-Sibsonian interpolation. In this approach, both the shape functions and the integration scheme are defined through use of first-order Voronoi diagrams. The method illustrates improved performance and significant advantages over previous natural neighbour formulations. The method also shows substantial promise for problems with large deformations and for the computation of higher-order gradients.

Original languageEnglish (US)
Pages (from-to)861-890
Number of pages30
JournalInternational Journal for Numerical Methods in Engineering
Issue number5
StatePublished - Jun 7 2004
Externally publishedYes


  • Higher-order gradients
  • Large deformation
  • Material incompressibility
  • Natural-element method
  • Nodal integration
  • Non-Sibsonian interpolant

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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