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:

XFEM for two-fluid flows

1 J. Chessa, T. Belytschko: An extended finite element method for two-phase fluids, ASME J. Appl. Mech., 70, 10–17, 2003.
2 J. Chessa, T. Belytschko: An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension, Internat. J. Numer. Methods Engrg., 58, 2041–2064, 2003.
3 A. Gerstenberger, W.A. Wall: An eXtended finite element method/Lagrange multiplier based approach for fluid-structure interaction, Comp. Methods Appl. Mech. Engrg., 197, 1699–1714, 2008.
4 S. Groß, A. Reusken: An extended pressure finite element space for two-phase incompressible flows with surface tension, J. Comput. Phys., 224, 40–58, 2007.
5 G. Legrain, N. Moës, A. Huerta: Stability of incompressible formulations enriched with X-FEM, Comp. Methods Appl. Mech. Engrg., 197, 1835–1849, 2008.
6 G.J. Wagner, N. Moës, W.K. Liu, T. Belytschko: The extended finite element method for rigid particles in Stokes flow, Internat. J. Numer. Methods Engrg., 51, 293–313, 2001.
7 A. Zilian, A. Legay: The enriched space-time finite element method (EST) for simultaneous solution of fluid-structure interaction, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2258, 2007.

Thomas-Peter Fries (fries@tugraz.at)