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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