Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 861-890 |
| Number of pages | 30 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 60 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jun 7 2004 |
| Externally published | Yes |
Keywords
- 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