N. Moës, J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.131-150, 1999.
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A

J. M. Melenck and I. Babuska, The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, vol.139, issue.1-4, pp.289-314, 1996.
DOI : 10.1016/S0045-7825(96)01087-0

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.5254

N. Moës, M. Cloirec, P. Cartraud, and J. F. Remacle, A computational approach to handle complex microstructure geometries, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.3163-3177, 2003.
DOI : 10.1016/S0045-7825(03)00346-3

E. Béchet, N. Moës, and B. Wohlmuth, A stable lagrange multiplier space for the stiff interface conditions within the extende finite element method, Int. J. Numer. Meth. Engrg. Submitted Figure, vol.5