High Quality Content by WIKIPEDIA articles! The extended finite
element method (XFEM), also known as generalized finite element
method (GFEM) or partition of unity method (PUM) is a numerical
technique that extends the classical finite element method (FEM)
approach by extending the solution space for solutions to
differential equations with discontinuous functions.The extended
finite element method (XFEM) was developed in 1999 by Ted
Belytschko and collaborators, to help alleviate the above
shortcomings of the finite element method and has been used to
model the propagation of various discontinuities: strong (cracks)
and weak (material interfaces).
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