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Mesh-independent p-orthotropic enrichment using the generalized finite element method

✍ Scribed by C. A. Duarte; I. Babuška


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
216 KB
Volume
55
Category
Article
ISSN
0029-5981

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✦ Synopsis


Abstract

This paper is aimed at presenting a simple yet effective procedure to implement a mesh‐independent p‐orthotropic enrichment in the generalized finite element method. The procedure is based on the observation that shape functions used in the GFEM can be constructed from polynomials defined in any co‐ordinate system regardless of the underlying mesh or type of element used. Numerical examples where the solution possesses boundary or internal layers are solved on coarse tetrahedral meshes with isotropic and the proposed p‐orthotropic enrichment. Copyright © 2002 John Wiley & Sons, Ltd.


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## Abstract This paper addresses the issue of a p‐adaptive version of the generalized finite element method (GFEM). The technique adopted here is the equilibrated element residual method, but presented under the GFEM approach, i.e., by taking into account the typical nodal enrichment scheme of the