A mixed finite element method for Darcy flow in fractured porous media with non-matching grids

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Dimensionally reduced flow models in fractured porous media: crossings and boundaries (2015, methodology): “XFEM is used in the context of fractured porous media for example in D’Angelo and Scotti [9], Fumagalli and Scotti [16] for lower dimensional fractures introducing a discontinuous solution in the matrix, for lower dimensional fracture networks having different permeabilities in the network and there”
A reduced model for Darcy’s problem in networks of fractures (2014, methodology): “The derivation is similar to that given in [15, 27], yet here we propose new coupling conditions to handle in a more realistic way the intersecting fractures.”
MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA (2016, methodology): “In all the aforementioned cases we compare the result obtained with the mimetic method with the analogous ones computed with the XFEM approach described in [34] where a mixed finite element formulation is combined with a suitable enrichment on the elements crossed by the fracture.”