Stabilized conforming nodal integration in the natural-element method
โ Scribed by Jeong Wahn Yoo; Brian Moran; Jiun-Shyan Chen
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 345 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.972
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โฆ Synopsis
Abstract
A stabilized conforming nodal integration scheme is implemented in the natural neighbour method in conjunction with nonโSibsonian interpolation. In this approach, both the shape functions and the integration scheme are defined through use of firstโorder 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 higherโorder gradients. Copyright ยฉ 2004 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
The integrals required in the computation of inยฏuence coecient matrices of the boundary element method (BEM) depend on the distance rxY x H from the collocation point or ยฎeld point x to the source or load point x H . As a consequence, a distinction must be made between the case where the collocation
The application of the Natural Element Method (NEM) 1; 2 to boundary value problems in two-dimensional small displacement elastostatics is presented. The discrete model of the domain consists of a set of distinct nodes N , and a polygonal description of the boundary @ . In the Natural Element Method
The discretization of the boundary in boundary element method generates integrals over elements that can be evaluated using numerical quadrature that approximate the integrands or semi-analytical schemes that approximate the integration path. In semi-analytical integration schemes, the integration p