A Petrov-Galerkin Natural Element Method Securing the Numerical Integration Accuracy |
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Authors: | Jin-Rae Cho Hong-Woo Lee |
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Affiliation: | 1. School of Mechanical Engineering, Pusan National University, Kumjung-Ku, 609-735, Busan, Korea
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Abstract: | An improved meshfree method called the Petrov-Galerkin natural element (PG-NE) method is introduced in order to secure the
numerical integration accuracy. As in the Bubnov-Galerkin natural element (BG-NE) method, we use Laplace interpolation function
for the trial basis function and Delaunay triangles to define a regular integration background mesh. But, unlike the BG-NE
method, the test basis function is differently chosen, based on the Petrov-Galerkin concept, such that its support coincides
exactly with a regular integration region in background mesh. Illustrative numerical experiments verify that the present method
successfully prevents the numerical accuracy deterioration stemming from the numerical integration error. |
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