Publications on the XFEM

We have gathered some of the most important publications on the XFEM and related methods. For easier access we have sorted them into the following categories:

Error estimation and adaptivity in the XFEM

1 S. Bordas, M. Duflot, P. Le: A simple error estimator for extended finite elements, Commun. Numer. Meth. Engrg., DOI: 10.1002/cnm.1001, 2007.
2 S. Bordas, M. Duflot: Derivative recovery and a posteriori error estimate for extended finite elements, Comp. Methods Appl. Mech. Engrg., 196, 3381–3399, 2007.
3 J.J. Ródenas, O.A. González-Estrada, J.E. Tarancón, F.J. Fuenmayor: A recovery-type error estimator for the extended finite element method based on singular+smooth stress field splitting, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2313, 2008.
4 H. Waisman, T. Belytschko: Parametric enrichment adaptivity by the extended finite element method, Internat. J. Numer. Methods Engrg., 73, 1671–1692, 2008.

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