I. Aavatsmark, T. Barkve, Ø. Bøe, 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.5-1700, 1998.
DOI : 10.1137/S1064827595293582

L. Agélas, D. Pietro, D. A. Droniou, and J. , The G method for heterogeneous anisotropic diffusion on general meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.4, pp.597-625, 2010.
DOI : 10.1051/m2an/2010021

L. Agélas and R. Masson, Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes, Comptes Rendus Mathematique, vol.346, issue.17-18, pp.17-18, 2008.
DOI : 10.1016/j.crma.2008.07.015

A. Agouzal, J. Baranger, J. Ma??trema??tre, and F. Oudin, Connection between finite volume and mixed finite element methods for a diffusion problem with nonconstant coefficients. Application to a convection diffusion problem, East-West J. Numer. Math, vol.3, pp.4-237, 1995.

M. Ainsworth, M. , and X. , Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity, Journal of Computational Physics, vol.231, issue.2, pp.436-453, 2012.
DOI : 10.1016/j.jcp.2011.09.011

P. Alotto and I. Perugia, Mixed finite element methods??and tree-cotree implicit condensation, Calcolo, vol.36, issue.4, pp.233-248, 1999.
DOI : 10.1007/s100920050032

T. Arbogast, C. , and Z. , On the implementation of mixed methods as nonconforming methods for second-order elliptic problems, Math. Comp, vol.64, pp.211-943, 1995.

T. Arbogast, C. N. Dawson, P. T. Keenan, M. F. Wheeler, Y. et al., Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry, SIAM Journal on Scientific Computing, vol.19, issue.2
DOI : 10.1137/S1064827594264545

T. Arbogast, G. Pencheva, M. F. Wheeler, Y. , and I. , A Multiscale Mortar Mixed Finite Element Method, Multiscale Modeling & Simulation, vol.6, issue.1, pp.319-346, 2007.
DOI : 10.1137/060662587

D. N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates, ESAIM: Mathematical Modelling and Numerical Analysis, vol.19, issue.1, pp.7-32, 1985.
DOI : 10.1051/m2an/1985190100071

J. Baranger, J. Ma??trema??tre, and F. Oudin, Connection between finite volume and mixed finite element methods, ESAIM: Mathematical Modelling and Numerical Analysis, vol.30, issue.4, pp.445-465, 1996.
DOI : 10.1051/m2an/1996300404451

R. Becker, M. , and S. , An optimally convergent adaptive mixed finite element method, Numerische Mathematik, vol.49, issue.10, pp.35-54, 2008.
DOI : 10.1007/s00211-008-0180-8

URL : https://hal.archives-ouvertes.fr/inria-00343204

L. Beirão-da-veiga, K. Lipnikov, and G. Manzini, Convergence analysis of the high-order mimetic finite difference method, Numerische Mathematik, vol.219, issue.1, pp.325-356, 2009.
DOI : 10.1007/s00211-009-0234-6

J. Breil, M. , and P. , A cell-centered diffusion scheme on two-dimensional unstructured meshes, Journal of Computational Physics, vol.224, issue.2, pp.785-823, 2007.
DOI : 10.1016/j.jcp.2006.10.025

S. C. Brenner, A Multigrid Algorithm for the Lowest-Order Raviart???Thomas Mixed Triangular Finite Element Method, SIAM Journal on Numerical Analysis, vol.29, issue.3, pp.647-678, 1992.
DOI : 10.1137/0729042

F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

F. Brezzi, K. Lipnikov, and M. Shashkov, Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes, SIAM Journal on Numerical Analysis, vol.43, issue.5, pp.1872-1896, 2005.
DOI : 10.1137/040613950

A. Cangiani and G. Manzini, Flux reconstruction and solution post-processing in mimetic finite difference methods, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.9-12, pp.9-12, 2008.
DOI : 10.1016/j.cma.2007.09.019

Y. Cao, R. Helmig, and B. Wohlmuth, Geometrical interpretation of the multi-point flux approximation L-method, International Journal for Numerical Methods in Fluids, vol.20, issue.3, pp.11-1173, 2009.
DOI : 10.1002/fld.1926

G. Chavent, A. Younès, and P. Ackerer, On the finite volume reformulation of the mixed finite element method for elliptic and parabolic PDE on triangles, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.5-6, pp.5-6, 2003.
DOI : 10.1016/S0045-7825(02)00578-9

L. Chen, M. Holst, and J. Xu, Convergence and optimality of adaptive mixed finite element methods, Mathematics of Computation, vol.78, issue.265, pp.265-300, 2009.
DOI : 10.1090/S0025-5718-08-02155-8

Z. Chen, Equivalence between and multigrid algorithms for nonconforming and mixed methods for second-order elliptic problems, East-West J. Numer. Math, vol.4, issue.1, pp.1-33, 1996.

B. Cockburn and J. Gopalakrishnan, A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems, SIAM Journal on Numerical Analysis, vol.42, issue.1, pp.283-301, 2004.
DOI : 10.1137/S0036142902417893

B. Cockburn and J. Gopalakrishnan, Error analysis of variable degree mixed methods for elliptic problems via hybridization, Mathematics of Computation, vol.74, issue.252, pp.252-1653, 2005.
DOI : 10.1090/S0025-5718-05-01741-2

M. Crouzeix, R. , and P. , Conforming and nonconforming finite element methods for solving the stationary Stokes equations I, Revue fran??aise d'automatique informatique recherche op??rationnelle. Math??matique, vol.7, issue.R3, pp.3-33, 1973.
DOI : 10.1051/m2an/197307R300331

J. Droniou and R. Eymard, A mixed finite volume scheme for anisotropic diffusion problems on any grid, Numerische Mathematik, vol.59, issue.1, pp.35-71, 2006.
DOI : 10.1007/s00211-006-0034-1

URL : https://hal.archives-ouvertes.fr/hal-00005565

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

M. G. Edwards, Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids Locally conservative numerical methods for flow in porous media, Comput. Geosci, vol.6, pp.3-4, 2002.

R. Eymard, T. Gallouët, and R. Herbin, Finite volume methods, In Handbook of Numerical Analysis, pp.713-1020, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00346077

R. Eymard, T. Gallouët, and R. Herbin, Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids, Journal of Numerical Mathematics, vol.17, issue.3, pp.173-193, 2009.
DOI : 10.1515/JNUM.2009.010

URL : https://hal.archives-ouvertes.fr/hal-00351867

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.4-1009, 2010.
DOI : 10.1093/imanum/drn084

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, 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, D. Hilhorst, and M. Vohralík, A combined finite volume???nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems, Numerische Mathematik, vol.40, issue.2, pp.73-131, 2006.
DOI : 10.1007/s00211-006-0036-z

R. Glowinski and M. F. Wheeler, Domain decomposition and mixed finite element methods for elliptic problems, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.144-172, 1987.

M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, Journal of Research of the National Bureau of Standards, vol.49, issue.6, pp.409-436, 1952.
DOI : 10.6028/jres.049.044

J. Hoffmann, Equivalence of the lowest-order Raviart?Thomas mixed finite element method and the multi point flux approximation scheme on triangular grids, 2008.

R. A. Klausen, R. , and T. , Relationships among some locally conservative discretization methods which handle discontinuous coefficients, Computational Geosciences, vol.6, issue.4, pp.341-377, 2004.
DOI : 10.1007/s10596-005-1815-9

Y. Kuznetsov and S. And-repin, Convergence analysis and error estimates for mixed finite element method on distorted meshes, Journal of Numerical Mathematics, vol.13, issue.1, pp.33-51, 2005.
DOI : 10.1515/1569395054068973

Y. A. Kuznetsov, Mixed finite element method for diffusion equations on polygonal meshes with mixed cells, Journal of Numerical Mathematics, vol.14, issue.4, pp.305-315, 2006.
DOI : 10.1515/156939506779874617

L. Potier and C. , Sch??ma volumes finis pour des op??rateurs de diffusion fortement anisotropes sur des maillages non structur??s, Comptes Rendus Mathematique, vol.340, issue.12, pp.921-926, 2005.
DOI : 10.1016/j.crma.2005.05.011

K. Lipnikov, M. Shashkov, Y. , and I. , Local flux mimetic finite difference methods, Numerische Mathematik, vol.44, issue.1, pp.115-152, 2009.
DOI : 10.1007/s00211-008-0203-5

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.7602

J. Ma??trema??tre, Calculs exacts pour lesélémentsleséléments finis triangulaires/simpliciaux ApplicationàApplicationà une nouvelle présentation de résolutions " ` a la volumes finis " des formulations mixtes. Talk at " Journée en l'honneur des 60 ans de Jean-Marie Thomas, 2004.

L. D. Marini, An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart???Thomas Mixed Method, SIAM Journal on Numerical Analysis, vol.22, issue.3, pp.493-496, 1985.
DOI : 10.1137/0722029

J. Nédélec, Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980.
DOI : 10.1007/BF01396415

P. Raviart, T. , and J. , A mixed finite element method for 2-nd order elliptic problems, Mathematical aspects of finite element methods (Proc. Conf., Consiglio Naz, pp.292-315, 1975.
DOI : 10.1007/BF01436186

J. E. Roberts, T. , and J. , Mixed and hybrid methods, Handbook of Numerical Analysis, pp.523-639, 1991.
DOI : 10.1016/S1570-8659(05)80041-9

URL : https://hal.archives-ouvertes.fr/inria-00075815

T. F. Russell and M. F. Wheeler, 2. Finite Element and Finite Difference Methods for Continuous Flows in Porous Media, In The Mathematics of Reservoir Simulation. SIAM, pp.35-106, 1983.
DOI : 10.1137/1.9781611971071.ch2

URL : https://hal.archives-ouvertes.fr/hal-01487454

Y. Saad, Iterative methods for sparse linear systems, second ed, Society for Industrial and Applied Mathematics, 2003.

A. Sboui, J. Jaffré, and J. Roberts, A Composite Mixed Finite Element for Hexahedral Grids, SIAM Journal on Scientific Computing, vol.31, issue.4, pp.2623-2645, 2009.
DOI : 10.1137/070703703

URL : https://hal.archives-ouvertes.fr/hal-00945012

R. Scheichl, Decoupling Three-Dimensional Mixed Problems Using Divergence-Free Finite Elements, SIAM Journal on Scientific Computing, vol.23, issue.5, pp.1752-1776, 2002.
DOI : 10.1137/S1064827500375886

H. A. Van-der-vorst, Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.13, issue.2, pp.631-644, 1992.
DOI : 10.1137/0913035

M. Vohralík, Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.2, pp.367-391, 2006.
DOI : 10.1051/m2an:2006013

M. Vohralík, Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods, Mathematics of Computation, vol.79, issue.272, pp.272-2001, 2010.
DOI : 10.1090/S0025-5718-2010-02375-0

M. Vohralík and B. Wohlmuth, From face to element unknowns by local static condensation with application to nonconforming finite elements, Computer Methods in Applied Mechanics and Engineering, vol.253, 2011.
DOI : 10.1016/j.cma.2012.08.013

M. F. Wheeler, Y. , and I. , A Multipoint Flux Mixed Finite Element Method, SIAM Journal on Numerical Analysis, vol.44, issue.5, pp.2082-2106, 2006.
DOI : 10.1137/050638473

A. Younés, P. Ackerer, C. , and G. , From mixed finite elements to finite volumes for elliptic PDEs in two and three dimensions, International Journal for Numerical Methods in Engineering, vol.59, issue.3, pp.3-365, 2004.
DOI : 10.1002/nme.874

A. Younes and V. Fontaine, Hybrid and multi-point formulations of the lowest-order mixed methods for Darcy's flow on triangles, International Journal for Numerical Methods in Fluids, vol.2, issue.9, pp.1041-1062, 2008.
DOI : 10.1002/fld.1785

A. Younés, R. Mose, P. Ackerer, C. , and G. , A New Formulation of the Mixed Finite Element Method for Solving Elliptic and Parabolic PDE with Triangular Elements, Journal of Computational Physics, vol.149, issue.1, pp.1-148, 1999.
DOI : 10.1006/jcph.1998.6150