G. Allaire, Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992.
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805

M. Bellieud and G. Bouchitté, Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.26, issue.43, pp.407-436, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01283228

P. Binev, A. Cohen, W. Dahmen, R. Devore, G. Petrova et al., Convergence Rates for Greedy Algorithms in Reduced Basis Methods, SIAM Journal on Mathematical Analysis, vol.43, issue.3, pp.5-7, 2010.
DOI : 10.1137/100795772
URL : https://hal.archives-ouvertes.fr/hal-00767082

A. Bourgeat, M. Kern, S. Schumacher, and J. Talandier, The COUPLEX Test Cases: Nuclear Waste Disposal Simulation, Computational Geosciences, vol.8, issue.2, pp.83-98, 2004.
DOI : 10.1023/B:COMG.0000035073.03009.5d
URL : https://hal.archives-ouvertes.fr/hal-01315461

S. Boyaval, Reduced-Basis Approach for Homogenization beyond the Periodic Setting, Multiscale Modeling & Simulation, vol.7, issue.1, pp.466-494, 2008.
DOI : 10.1137/070688791
URL : https://hal.archives-ouvertes.fr/inria-00132763

M. Briane, Homogenization??of Non-Uniformly Bounded Operators:??Critical Barrier for Nonlocal Effects, Archive for Rational Mechanics and Analysis, vol.164, issue.1, pp.73-101, 2002.
DOI : 10.1007/s002050200196

A. Buffa, Y. Maday, A. T. Patera, C. Prud-'homme, and G. Turinici, A priori convergence of the greedy algorithm for the parametrized reduced basis
URL : https://hal.archives-ouvertes.fr/hal-00659314

C. Chainais-hillairet and J. Droniou, Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media, SIAM Journal on Numerical Analysis, vol.45, issue.5, pp.2228-2258, 2007.
DOI : 10.1137/060657236
URL : https://hal.archives-ouvertes.fr/hal-00022910

C. Chainais-hillairet, S. Krell, and A. Mouton, Convergence analysis and numerical results of a finite volume discretization for the peaceman model

Z. Chen and R. Ewing, Mathematical Analysis for Reservoir Models, SIAM Journal on Mathematical Analysis, vol.30, issue.2, pp.431-453, 1999.
DOI : 10.1137/S0036141097319152

C. Choquet and A. Sili, Homogenization of a model of displacement with unbounded viscosity, Networks and Heterogeneous Media, vol.4, issue.4, pp.649-666, 2009.
DOI : 10.3934/nhm.2009.4.649

A. Cohen, R. Devore, and C. Schwab, Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs, Foundations of Computational Mathematics, vol.60, issue.6, pp.615-646, 2010.
DOI : 10.1007/s10208-010-9072-2

A. Cohen, R. Devore, and C. Schwab, ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S, Analysis and Applications, vol.09, issue.01, pp.11-47, 2011.
DOI : 10.1142/S0219530511001728

J. Douglas, R. E. Ewing, and M. F. Wheeler, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media, RAIRO. Analyse num??rique, vol.17, issue.3, pp.249-265, 1983.
DOI : 10.1051/m2an/1983170302491

R. E. Ewing, T. F. Russell, and M. F. Wheeler, Simulation of Miscible Displacement Using Mixed Methods and a Modified Method of Characteristics, SPE Reservoir Simulation Symposium, pp.71-81, 1983.
DOI : 10.2118/12241-MS

P. Fabrie and M. Langlais, Mathematical Analysis of Miscible Displacement in Porous Medium, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1375-1392, 1992.
DOI : 10.1137/0523079

X. Feng, On Existence and Uniqueness Results for a Coupled System Modeling Miscible Displacement in Porous Media, Journal of Mathematical Analysis and Applications, vol.194, issue.3, pp.883-910, 1995.
DOI : 10.1006/jmaa.1995.1334

T. Goudon and F. Poupaud, APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS, Communications in Partial Differential Equations, vol.84, issue.3, pp.537-569, 2001.
DOI : 10.1081/PDE-100002237

F. Hecht, A. L. Hyaric, K. Ohtsuka, and O. Pironneau, Freefem++, finite elements software

Y. Maday, N. C. Nguyen, A. T. Patera, and G. S. Pau, A general multipurpose interpolation procedure: the magic points, Communications on Pure and Applied Analysis, vol.8, issue.1, pp.383-404, 2009.
DOI : 10.3934/cpaa.2009.8.383
URL : https://hal.archives-ouvertes.fr/hal-00174797

Y. Maday, A. T. Patera, and G. Turinici, Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations, Comptes Rendus Mathematique, vol.335, issue.3, pp.289-294, 2002.
DOI : 10.1016/S1631-073X(02)02466-4
URL : https://hal.archives-ouvertes.fr/hal-00798389

G. Nguetseng, A General Convergence Result for a Functional Related to the Theory of Homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-623, 1989.
DOI : 10.1137/0520043

A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential equations, 1997.

T. F. Russell, Finite Elements With Characteristics for Two-Component Incompressible Miscible Displacement, SPE Reservoir Simulation Symposium, pp.123-135, 1982.
DOI : 10.2118/10500-MS

J. Simon, Compact sets in the spaceL p (O,T; B), Annali di Matematica Pura ed Applicata, vol.287, issue.1, pp.65-96, 1987.
DOI : 10.1007/BF01762360

H. Wang, D. Liang, R. E. Ewing, S. L. Lyons, and G. Qin, An Approximation to Miscible Fluid Flows in Porous Media with Point Sources and Sinks by an Eulerian--Lagrangian Localized Adjoint Method and Mixed Finite Element Methods, SIAM Journal on Scientific Computing, vol.22, issue.2, pp.561-581, 2000.
DOI : 10.1137/S1064827598349215

H. Wang, D. Liang, R. E. Ewing, S. L. Lyons, and G. Qin, An improved numerical simulator for different types of flows in porous media, Numerical Methods for Partial Differential Equations, vol.15, issue.3, pp.343-362, 2003.
DOI : 10.1002/num.10045