S. Bordas, M. Duflot, and P. Le, A simple a posteriori error estimator for the extended finite element method, 2008.

S. Bordas and M. Duflot, Derivative recovery and a posteriori error estimate for extended finite elements, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.35-36, pp.35-363381, 2007.
DOI : 10.1016/j.cma.2007.03.011

URL : http://orbilu.uni.lu/handle/10993/21337

M. Duflot and S. Bordas, error estimation for extended finite elements by an extended global recovery, International Journal for Numerical Methods in Engineering, vol.57, issue.47, pp.1123-1138, 2008.
DOI : 10.1002/cnm.1001

M. Tabbara, T. Blacker, and T. Belytschko, Finite element derivative recovery by moving least square interpolants, Computer Methods in Applied Mechanics and Engineering, vol.117, issue.1-2, pp.211-223, 1994.
DOI : 10.1016/0045-7825(94)90084-1

J. T. Oden and H. J. Brauchli, On the calculation of consistent stress distributions in finite element approximations, International Journal for Numerical Methods in Engineering, vol.3, issue.3, 1971.
DOI : 10.1002/nme.1620030303

E. Hinton and J. S. Campbell, Local and global smoothing of discontinuous finite element functions using a least squares method, International Journal for Numerical Methods in Engineering, vol.98, issue.3, 1974.
DOI : 10.1002/nme.1620080303

O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineerng analysis, International Journal for Numerical Methods in Engineering, vol.7, issue.18, pp.337-357, 1987.
DOI : 10.1002/nme.1620240206

P. Laborde, J. Pommier, Y. Renard, and M. Salaun, High-order extended finite element method for cracked domains, International Journal for Numerical Methods in Engineering, vol.3, issue.3, pp.6183-6200, 2004.
DOI : 10.1002/nme.1370

URL : https://hal.archives-ouvertes.fr/hal-00815711

E. Béchet, H. Minnebo, N. Moës, and B. Burgardt, Improved implementation and robustness study of the X-FEM for stress analysis around cracks, International Journal for Numerical Methods in Engineering, vol.53, issue.8, 2005.
DOI : 10.1002/nme.1386