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The Petrov-Galerkin Natural Element Method : II. Linear Elastostatic Analysis  

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. 113-121 More about this Journal
Abstract
In order to resolve a common numerical integration inaccuracy of meshfree methods, we introduce an improved natural clement method called Petrov-Galerkin natural element method(PG-NEM). While Laplace basis function is being taken for the trial shape function, the test shape function in the present method is differently defined such that its support becomes a union of Delaunay triangles. This approach eliminates the inconsistency of tile support of integrand function with the regular integration domain, and which preserves both simplicity and accuracy in the numerical integration. In this paper, the validity of the PG-NEM is verified through the representative benchmark problems in 2-d linear elasticity. For the comparison, we also analyze the problems using the conventional Bubnov-Galerkin natural element method(BG-NEM) and constant strain finite clement method(CS-FEM). From the patch test and assessment on convergence rate, we can confirm the superiority of the proposed meshfree method.
Keywords
Petrov-Galerkin natural element method(PG-NEM); Bubnov-Galerkin natural element method (BG-NEM); constant strain finite element method(CS-FEM); patch test; convergence rate;
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