B. Amaziane, A. Bourgeat, and H. Amri, Existence of solutions to various rock types odel model of two-phase flow in porous media, Applicable Analysis, vol.1, issue.1-2, pp.121-132, 1996.
DOI : 10.1080/00036819608840421

K. Aziz and A. Sttari, Petroleum Resevoir Simulation, 1979.

F. Bassi, S. Rebay, G. Mariotti, S. Pedinotti, and M. Savini, A highorder accurate discontinuous finite element method for inviscid and viscous turbomachinery flows, Proceedings of the 2 nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, pp.99-109, 1997.

P. Bastian and B. Rivì-ere, Superconvergence and H(div) projection for discontinuous Galerkin methods, International Journal for Numerical Methods in Fluids, vol.30, issue.4, pp.1043-1057, 2003.
DOI : 10.1002/fld.562

P. Bastian and B. Rivì-ere, Discontinuous Galerkin methods for twophase flow in porous media, 2004.

J. Bear, Dynamics of Fluids in Porous Media, Soil Science, vol.120, issue.2, 1978.
DOI : 10.1097/00010694-197508000-00022

M. Bertsch, R. Dal-passo, and C. J. Van-duijn, Analysis of Oil Trapping in Porous Media Flow, SIAM Journal on Mathematical Analysis, vol.35, issue.1, pp.245-267, 2003.
DOI : 10.1137/S0036141002407375

A. Bourgeat and A. Hidani, Effective model of two-phase flow in a porous medium made of different rock types, Applicable Analysis, vol.19, issue.1-2, pp.1-29, 1995.
DOI : 10.1137/0520043

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, of Springer Series in Computational Mathematics, 1991.
DOI : 10.1007/978-1-4612-3172-1

C. Cancès, Nonlinear parabolic equations with spatial discontinuities, pp.427-456, 2008.

C. Cancès, Finite volume scheme for two-phase flow in heterogeneous porous media involving capillary pressure discontinuities, 2009.

C. Cancès, T. Gallouët, and A. Porretta, Two-phase flows involving capillary barriers in heterogeneous porous media. Interfaces and Free Boundaries, 2009.

G. Chavent and J. Jaffré, Mathematical Models and Finite Elements for Reservoir Simulation, 1978.

Z. Chen, R. E. Ewing, and M. Espedal, Multiphase Flow Simulation with Various Boundary Conditions, Proceedings of the International Conference on Computational Methods in Water Resources X, pp.925-932, 1994.
DOI : 10.1007/978-94-010-9204-3_112

Z. Chen, G. Huan, and Y. Ma, Computational Methods for Multiphase Flows in Porous Media. Siam, 2006.

D. A. Di-pietro, A. Ern, and J. Guermond, Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection, SIAM Journal on Numerical Analysis, vol.46, issue.2, pp.805-831, 2008.
DOI : 10.1137/060676106

G. Enchéry, R. Eymard, and A. Michel, Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces, SIAM Journal on Numerical Analysis, vol.43, issue.6, pp.2402-2422, 2006.
DOI : 10.1137/040602936

Y. Epshteyn and B. Rivì-ere, Fully implicit discontinuous finite element methods for two-phase flow, Applied Numerical Mathematics, vol.57, issue.4, pp.383-401, 2007.
DOI : 10.1016/j.apnum.2006.04.004

A. Ern and J. Guermond, Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory, SIAM Journal on Numerical Analysis, vol.44, issue.2
DOI : 10.1137/050624133

A. Ern, I. Mozolevski, and L. Schuh, Accurate velocity reconstruction for Discontinuous Galerkin approximations of two-phase porous media flows, Comptes Rendus Mathematique, vol.347, issue.9-10, 2009.
DOI : 10.1016/j.crma.2009.02.011

A. Ern, S. Nicaise, and M. Vohralík, An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems, C. R. Math. Acad. Sci. Paris, issue.12, pp.345709-712, 2007.

A. Ern, A. F. Stephansen, and P. Zunino, A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity, IMA Journal of Numerical Analysis, vol.29, issue.2, 2009.
DOI : 10.1093/imanum/drm050

B. G. Ersland, M. S. Espedal, and R. Nybø, Numerical methods for flow in a porous medium with internal boundaries, Computational Geosciences, vol.2, issue.3, pp.217-240, 1998.
DOI : 10.1023/A:1011554320427

O. J. Eslinger, Discontinuous Galerkin Finite Element Methods apllied to two-phase, air-water flow problems, 2005.

R. Helmig, Multiphase Flow and Transport Processes in the Subsurface, 1997.
DOI : 10.1007/978-3-642-60763-9

W. Klieber and B. Rivì-ere, Adaptive simulations of two-phase flow by discontinuous Galerkin methods, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.1-3, pp.404-419, 2006.
DOI : 10.1016/j.cma.2006.05.007

C. J. Van-duijn, J. Molenaar, and M. J. Neef, The effect of capillary forces on immiscible two-phase flow in heterogeneous porous media, Transport in Porous Media, pp.71-93, 1995.