R. Ahmed, M. G. Edwards, S. Lamine, and B. A. Huisman, Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model, Journal of Computational Physics, vol.284, pp.462-489, 2015.
DOI : 10.1016/j.jcp.2014.12.047

C. Alboin, J. Jaffré, J. Roberts, and C. Serres, Modeling fractures as interfaces for flow and transport in porous media. Fluid flow and transport in porous media 295, pp.13-24, 2002.

P. Angot, F. Boyer, and F. Hubert, Asymptotic and numerical modelling of flows in fractured porous media, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.2, pp.239-275, 2009.
DOI : 10.1051/m2an/2008052
URL : https://hal.archives-ouvertes.fr/hal-00127023

K. Brenner and R. Masson, Convergence of a Vertex centered Discretization of Two-Phase Darcy flows on General Meshes, Int. Journal of Finite, vol.Methods, p.june, 2013.

K. Brenner, M. Groza, C. Guichard, and R. Masson, Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.2, pp.303-330, 2015.
DOI : 10.1051/m2an/2014034
URL : https://hal.archives-ouvertes.fr/hal-00910939

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.
DOI : 10.1007/978-0-387-70914-7

F. Brezzi, K. Lipnikov, and V. Simoncini, A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES, Mathematical Models and Methods in Applied Sciences, vol.15, issue.10, pp.1533-1552, 2005.
DOI : 10.1142/S0218202505000832

M. Costabel, Boundary Integral Operators on Lipschitz Domains: Elementary Results, SIAM Journal on Mathematical Analysis, vol.19, issue.3, pp.613-626, 1988.
DOI : 10.1137/0519043

D. Angelo, C. Scotti, and A. , A mixed finite element method for Darcy flow in fractured porous media with non-matching grids, ESAIM Mathematical Modelling and Numerical Analysis, vol.462, pp.465-489, 2012.

J. Droniou, R. Eymard, T. Gallouët, C. Guichard, and R. Herbin, Gradient schemes for elliptic and parabolic problems, 2014.

J. Droniou, R. Eymard, T. Gallouët, and R. Herbin, A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS, Mathematical Models and Methods in Applied Sciences, vol.20, issue.02, pp.265-295, 2010.
DOI : 10.1142/S0218202510004222
URL : https://hal.archives-ouvertes.fr/hal-00346077

R. Eymard, T. Gallouët, and R. Herbin, Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1009-1043, 2010.
DOI : 10.1093/imanum/drn084

R. Eymard, C. Guichard, and R. Herbin, Small-stencil 3D schemes for diffusive flows in porous media, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.2, pp.265-290, 2012.
DOI : 10.1051/m2an/2011040
URL : https://hal.archives-ouvertes.fr/hal-00542667

R. Eymard, R. Herbin, C. Guichard, and R. Masson, Vertex-centred discretization of multiphase compositional Darcy flows on general meshes, Computational Geosciences, vol.53, issue.4, pp.987-1005, 2012.
DOI : 10.1007/s10596-012-9299-x
URL : https://hal.archives-ouvertes.fr/hal-01238550

J. Droniou, R. Eymard, T. Gallouët, and R. Herbin, GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.13, pp.2395-2432, 2013.
DOI : 10.1142/S0218202513500358
URL : https://hal.archives-ouvertes.fr/hal-00751551

E. Flauraud, F. Nataf, I. Faille, and R. Masson, Domain decomposition for an asymptotic geological fault modeling, Comptes RendusàRendus`Rendusà l'académie des Sciences de Mécanique 331, pp.849-855, 2003.
DOI : 10.1016/j.crme.2003.09.009

P. Grisvard, Elliptic Problems on non smooth domains, 1985.

M. Karimi-fard, L. J. Durlofsky, and K. Aziz, An efficient discrete-fracture model applicable for general-purpose reservoir simulators, SPE journal, p.june, 2004.

L. Formaggia, A. Fumagalli, A. Scotti, and P. Ruffo, A reduced model for Darcy???s problem in networks of fractures, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.4, pp.1089-1116, 2014.
DOI : 10.1051/m2an/2013132

V. Martin, J. Jaffré, and J. E. Roberts, Modeling Fractures and Barriers as Interfaces for Flow in Porous Media, SIAM Journal on Scientific Computing, vol.26, issue.5, pp.1667-1691, 2005.
DOI : 10.1137/S1064827503429363
URL : https://hal.archives-ouvertes.fr/inria-00071735

W. Mclean, Strongly Elliptic Systems and Boundary Integral Equations, 2000.

S. E. Mikhailov, Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains, Journal of Mathematical Analysis and Applications, vol.378, issue.1, pp.324-342, 2011.
DOI : 10.1016/j.jmaa.2010.12.027

J. Monteagudu and A. Firoozabadi, Control-Volume Model for Simulation of Water Injection in Fractured Media: Incorporating Matrix Heterogeneity and Reservoir Wettability Effects, SPE Journal, vol.12, issue.03, pp.355-366, 2007.
DOI : 10.2118/98108-PA

V. Reichenberger, H. Jakobs, P. Bastian, and R. Helmig, A mixed-dimensional finite volume method for two-phase flow in fractured porous media, Advances in Water Resources, vol.29, issue.7, pp.1020-1036, 2006.
DOI : 10.1016/j.advwatres.2005.09.001

Y. Saad, Iterative Methods for Sparse Linear Systems, 2003.
DOI : 10.1137/1.9780898718003

T. H. Sandve, I. Berre, and J. M. Nordbotten, An efficient multi-point flux approximation method for Discrete Fracture???Matrix simulations, Journal of Computational Physics, vol.231, issue.9, pp.3784-3800, 2012.
DOI : 10.1016/j.jcp.2012.01.023

X. Tunc, I. Faille, T. Gallouët, M. C. Cacas, and P. Havé, A model for conductive faults with non-matching grids, Computational Geosciences, vol.81, issue.6, pp.277-296, 2012.
DOI : 10.1007/s10596-011-9267-x