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:

Time integration in the XFEM

1 J. Chessa, T. Belytschko: Arbitrary discontinuities in space-time finite elements by level-sets and X-FEM, Internat. J. Numer. Methods Engrg., 61, 2595–2614, 2004.
2 J. Chessa, T. Belytschko: A local space-time discontinuous finite element method, Comp. Methods Appl. Mech. Engrg., 195, 1325–1343, 2006.
3 T. Menouillard, J. Réthoré, A. Combescure, H. Bung: Efficient explicit time stepping for the eXtended finite element method (X-FEM), Internat. J. Numer. Methods Engrg., 68, 911–939, 2006.
4 J. Réthoré, A. Gravouil, A. Combescure: A combined space-time extended finite element method, Internat. J. Numer. Methods Engrg., 64, 260–284, 2005.

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