Geodesic
Analysis of a mimetic finite difference approximation of flows in fractured porous media
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 2, pp. 595-630

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We consider the mixed formulation for Darcy’s flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.

DOI : 10.1051/m2an/2017028
Classification : 65N12, 65N99, 76S05
Keywords: Flow in porous media, fracture networks, mimetic finite difference

Formaggia, Luca 1 ; Scotti, Anna 1 ; Sottocasa, Federica 1

1 
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     author = {Formaggia, Luca and Scotti, Anna and Sottocasa, Federica},
     title = {Analysis of a mimetic finite difference approximation of flows in fractured porous media},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {595--630},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/m2an/2017028},
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     zbl = {1404.65228},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017028/}
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Formaggia, Luca; Scotti, Anna; Sottocasa, Federica. Analysis of a mimetic finite difference approximation of flows in fractured porous media. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 2, pp. 595-630. doi: 10.1051/m2an/2017028

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