, Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous, Anisotropic Media, Journal of Computational Physics, vol.127, issue.1, pp.2-14, 1996.
DOI : 10.1006/jcph.1996.0154
, 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
, Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results, SIAM Journal on Scientific Computing, vol.19, issue.5, pp.1717-1736, 1998.
DOI : 10.1137/S1064827595293594
, A symmetric and coercive finite volume scheme for multiphase porous media flow problems with applications in the oil industry, Finite Volumes for Complex Applications V, pp.35-51, 2008.
, Petroleum reservoir simulation, Applied Science, 1979.
, ON VERTEX RECONSTRUCTIONS FOR CELL-CENTERED FINITE VOLUME APPROXIMATIONS OF 2D ANISOTROPIC DIFFUSION PROBLEMS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.01, pp.1-32, 2007.
DOI : 10.1142/S0218202507001814
, Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities, SIAM Journal on Numerical Analysis, vol.46, issue.6, pp.3032-3070, 2008.
DOI : 10.1137/060666196
URL : https://hal.archives-ouvertes.fr/hal-00110436
, Fortin Mixed and Hybrid Finite Element Methods Springer-Verlag, 1991.
, 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 FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES, Mathematical Models and Methods in Applied Sciences, vol.15, issue.10, pp.1533-1551, 2005.
DOI : 10.1142/S0218202505000832
, A collocated finite volume scheme for the incompressible Navier-Stokes equations on general non-matching grids, Finite Volumes for Complex Applications V, pp.289-296, 2008.
, A collocated finite volume scheme to solve free convection for general non-onorming grids, J.Comput. Phys
, Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.493-516, 1999.
DOI : 10.1051/m2an:1999149
, A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6, pp.1203-1249, 2005.
DOI : 10.1051/m2an:2005047
, 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
, Comparison between mimetic finite difference methods, hybrid finite volume methods and mixed finite volume methods
, Finite volume methods, Techniques of Scientific Computing, Part III, Handbook of Numerical Analysis, VII, pp.713-1020, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00346077
, A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension, IMA Journal of Numerical Analysis, vol.26, issue.2, pp.326-353, 2006.
DOI : 10.1093/imanum/dri036
, A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis, Comptes Rendus Mathematique, vol.344, issue.6, pp.403-406, 2007.
DOI : 10.1016/j.crma.2007.01.024
, Benchmark on anisotropic problems, SUSHI: a scheme using stabilization and hybrid interfaces for anisotropic heterogeneous diffusion problems, Finite Volumes for Complex Applications V, pp.801-814, 2008.
, A new colocated finite volume scheme for the incompressible Navier???Stokes equations on general non matching grids, Comptes Rendus Mathematique, vol.344, issue.10, pp.344659-662, 2007.
DOI : 10.1016/j.crma.2007.03.025
, Numerical convergence of a parametrisation method for the solution of a highly anisotropic two-dimensional elliptic problem, J. Sci. Comput, vol.25, issue.3, pp.423-444, 2005.
, An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh, Numerical Methods for Partial Differential Equations, vol.28, issue.2, pp.165-173, 1995.
DOI : 10.1002/num.1690110205
, Finite volume methods for diffusion convection equations on general meshes, Finite volumes for complex applications, Problems and Perspectives, pp.153-160, 1996.
, Benchmark on discretization schemes for anisotropic diffusion problems on general grids for anisotropic heterogeneous diffusion problems, Finite Volumes for Complex Applications V, pp.659-692, 2008.
, Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.16-18, pp.16-181939, 2003.
DOI : 10.1016/S0045-7825(02)00644-8
, 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
, Sch??ma volumes finis monotone pour des op??rateurs de diffusion fortement anisotropes sur des maillages de triangles non structur??s, Comptes Rendus Mathematique, vol.341, issue.12, pp.341787-792, 2005.
DOI : 10.1016/j.crma.2005.10.010
, Numerical heat transfer and fluid flow Series in Computational Methods in Mechanics and Thermal Sciences, 1980.
, Mixed and hybrid methods, Handbook of numerical analysis II, Handb. Numer. Anal., II, pp.523-639, 1991.
DOI : 10.1016/S1570-8659(05)80041-9
URL : https://hal.archives-ouvertes.fr/inria-00075815
, Equivalence between mixed finite element and multi-point finite volume methods, Comptes Rendus Mathematique, vol.339, issue.7, pp.525-528, 2004.
DOI : 10.1016/j.crma.2004.08.004