Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics

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Extended finite element method in computational fracture mechanics: a retrospective examination (2015, unknown): “Recent work by Chevaugeon et al. (2013) and Gupta et al. (2015) in two and three dimensions, respectively, demonstrate that when combined with the geometric enrichment strategy, use of vectorial enrichment provides the same level of accuracy at reduced computational cost.”
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”
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks (2015, methodology): “To the best knowledge of the authors, till now the stable XFEM/GFEM have only been applied to the linear problems of fracture mechanics [21, 22] and fluid flows [58].”