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:

Higher-order XFEM

1 E.V. Iarve: Mesh independent modelling of cracks by using higher order shape functions, Internat. J. Numer. Methods Engrg., 56, 869–882, 2003.
2 P. Laborde, J. Pommier, Y. Renard, M. Salaün: High-order extended finite element method for cracked domains, Internat. J. Numer. Methods Engrg., 64, 354–381, 2005.
3 E.V. Larve: Mesh independent modelling of cracks by using higher order shape functions, Internat. J. Numer. Methods Engrg., 56, 869–882, 2003.
4 A. Legay, H.W. Wang, T. Belytschko: Strong and weak arbitrary discontinuities in spectral finite elements, Internat. J. Numer. Methods Engrg., 64, 991–1008, 2005.
5 F.L. Stazi, E. Budyn, J. Chessa, T. Belytschko: An extended finite element method with higher-order elements for curved cracks, Comput. Mech., 31, 38–48, 2003.

Thomas-Peter Fries (fries@tugraz.at)