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A posteriori error estimation (indication) for extended finite element methods (XFEM)
Extended finite element methods (XFEM) have been employed in computational fracture mechanics contexts since their inception in 1999. Although some work has been performed, leading to the first adaptive strategies for the generalised finite element method (GFEM), little or no work has been published on error estimation and adaptive approximations for XFEM. A first attempt at this challenging problem is published here:
The authors would like to take this opportunity to generate discussion on this topic on iMechanica, and would welcome any critiques on the work above.
Thank you in advance, and best regards from Glasgow,