I. Aavatsmark, T. Barkve, O. Boe, and T. Mannseth, Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods, SIAM Journal on Scientific Computing, vol.19, issue.5, pp.1700-1716, 1998.
DOI : 10.1137/S1064827595293582

H. W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z, vol.183, issue.3, pp.311-341, 1983.

K. Brenner, Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media, ESAIM: Proceedings, vol.35, 2012.
DOI : 10.1051/proc/201235016

K. Brenner, C. Cances, and D. Hilhorst, A convergent finite volume scheme for two-phase flows in porous media with discontinuous capillary pressure field. Finite Volumes for Complex Applications VI Problems & Perspectives pp, pp.185-193, 2011.

K. Brenner and R. Masson, Convergence of a Vertex Centred Discretization of Two-Phase Darcy flows on General Meshes, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00755072

G. Chavent and J. Jaffré, Mathematical models and finite elements for reservoir simulation, 1986.

J. Droniou, R. Eymard, T. Gallouet, and R. Herbin, Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations, accepted for publication in M3AS

J. Droniou, T. Gallouët, and R. Herbin, A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data, SIAM Journal on Numerical Analysis, vol.41, issue.6, pp.1997-2031, 2003.
DOI : 10.1137/S0036142902405205
URL : https://hal.archives-ouvertes.fr/hal-00003440

R. Eymard, P. Féron, T. Gallouet, R. Herbin, and C. Guichard, Gradient schemes for the Stefan problem, URL
URL : https://hal.archives-ouvertes.fr/hal-00751555

R. Eymard, T. Gallouët, and R. Herbin, Finite volume methods Techniques of Scientific Computing, Part III, Handbook of Numerical Analysis, VII, pp.713-1020, 2000.

R. Eymard, T. Gallouët, R. Herbin, and A. Michel, Convergence of a finite volume scheme for nonlinear degenerate parabolic equations, Numerische Mathematik, vol.92, issue.1, pp.41-82, 2002.
DOI : 10.1007/s002110100342

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, G. Henry, R. Herbin, F. Hubert, R. Klöfkorn et al., benchmark on discretization schemes for anisotropic diffusion problems on general grids. Finite Volumes for Complex Applications VI Problems & Perspectives pp, pp.3-895, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00580549

R. Eymard, R. Herbin, and J. C. Latché, Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier???Stokes Equations on General 2D or 3D Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.1-36, 2007.
DOI : 10.1137/040613081
URL : https://hal.archives-ouvertes.fr/hal-00004841

R. Eymard, R. Herbin, and A. Michel, Mathematical study of a petroleum-engineering scheme, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.6, pp.937-972, 2003.
DOI : 10.1051/m2an:2003062

R. Eymard and V. Schleper, Study of a numerical scheme for miscible two-phase flow in porous media, Numerical Methods for Partial Differential Equations, vol.VII, issue.2007
DOI : 10.1002/num.21823
URL : https://hal.archives-ouvertes.fr/hal-00741425

T. Gallouët and R. Herbin, Convergence of linear finite elements for diffusion equations with measure data, Comptes Rendus Mathematique, vol.338, issue.1, pp.81-84, 2004.
DOI : 10.1016/j.crma.2003.11.024

R. Herbin and F. Hubert, Benchmark on discretization schemes for anisotropic diffusion problems on general grids. Finite volumes for complex applications V pp, pp.659-692, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00429843

L. Potier and C. , A nonlinear finite volume scheme satisfying maximum and minimum principles for diffusion operators, Int. J. Finite, vol.6, issue.2, p.20, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01116968

L. Potier, C. Mahamane, and A. , Correction non lin??aire et principe du maximum avec des sch??mas hybrides pour la discr??tisation d??op??rateurs de diffusion, Comptes Rendus Mathematique, vol.350, issue.1-2, pp.101-106, 2012.
DOI : 10.1016/j.crma.2011.11.008

A. Michel, A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media, SIAM Journal on Numerical Analysis, vol.41, issue.4, pp.1301-1317, 2003.
DOI : 10.1137/S0036142900382739