A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

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The Discontinuity‐Enriched Finite Element Method (2017, background): “Observe that, even though Equation (7) seems to degenerate as xΓ → 0 or xΓ → L, the enrichment function is bounded.”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “A GFEM implementation has been proposed where meshes that are completely independent of geometry can be employed by using automatic generation of do-main-conforming integration cells, with handbook enrichments for features like corners, which greatly alleviates difficulty in meshing for solving PDEs”
A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, background): “The stable GFEM [114, 115] can also be used to address the issue of loss of accuracy on blending elements.”
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks (2015, methodology): “To circumvent the above loss of solution accuracy, it was suggested introducing additional higher-oder enrichment functions [21].”