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The Petrov-Galerkin Natural Element Method : I. Concepts  

Cho, Jin-Rae (부산대 기계공학부)
Lee , Hong-Woo (부산대 기계설계)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.2, 2005 , pp. 103-111 More about this Journal
Abstract
In this paper, a new meshfree technique which improves the numerical integration accuracy is introduced. This new method called thc Petrov-Galerkin natural clement method(PG-NEM) by authors is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used lot conventional natural clement method called the Bubnov-Galerkin natural element method(BG-NEM). But, unlike the BG-NEM, the test basis function is differently chosen, based on the concept of Petrov-Galerkin, such that its support coincides exactly with a regular integration region in background mesh. Therefore, it is expected that the proposed technique ensures the remarkably improved numerical integration accuracy in comparison with the BG-NEM.
Keywords
meshfree method; Voronoi diagram; Delaunay triangulation; natural element method; Petrov-Galerkin natural element method;
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