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Optimal convergence analysis for the extended finite element method

✍ Scribed by Serge Nicaise; Yves Renard; Elie Chahine

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
378 KB
Volume
86
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We establish some optimal a priori error estimates on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut‐off function and the standard Xfem with a fixed enrichment area. Both the LamΓ© system (homogeneous isotropic elasticity) and the Laplace problem are considered. The convergence of the numerical stress intensity factors is also investigated. Some numerical experiments corroborating the theoretical results are presented. Copyright Β© 2011 John Wiley & Sons, Ltd.

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