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Stabilized conforming nodal integration in the natural‐element method
Author(s) -
Yoo Jeong Wahn,
Moran Brian,
Chen JiunShyan
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.972
Subject(s) - voronoi diagram , interpolation (computer graphics) , computation , scheme (mathematics) , natural (archaeology) , element (criminal law) , computer science , mathematics , algorithm , mathematical optimization , topology (electrical circuits) , geometry , mathematical analysis , geology , computer graphics (images) , combinatorics , animation , paleontology , political science , law
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. Copyright © 2004 John Wiley & Sons, Ltd.