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Convergence Analysis of the Residual Free Bubble Method for Bilinear Elements

✍ Scribed by Risch, Uwe

Book ID: 118190270
Publisher: Society for Industrial and Applied Mathematics
Year: 2001
Tongue: English
Weight: 177 KB
Volume: 39
Category: Article
ISSN: 0036-1429
DOI: 10.1137/s0036142900380145

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## 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 Lamé system (homogeneous isotropic elasticity) and the Laplace probl