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:

Blending elements in the XFEM

1 J. Chessa, H. Wang, T. Belytschko: On the construction of blending elements for local partition of unity enriched finite elements, Internat. J. Numer. Methods Engrg., 57, 1015–1038, 2003.
2 T.P. Fries: A corrected XFEM approximation without problems in blending elements, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2259, 2007.
3 R. Gracie, H. Wang, T. Belytschko: Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2217, 2007.

Thomas-Peter Fries (fries@tugraz.at)