Sobolev spaces. Academic press, 1975. ,
Lectures on Elliptic Boundary Value Problems, 1965. ,
DOI : 10.1090/chel/369
Discrete duality finite volume schemes for Leray???Lions???type elliptic problems on general 2D meshes, Numerical Methods for Partial Differential Equations, vol.152, issue.1, pp.145-195, 2007. ,
DOI : 10.1002/num.20170
URL : https://hal.archives-ouvertes.fr/hal-00005779
The design and application of upwind schemes on unstructured meshes, 27th Aerospace Sciences Meeting, pp.89-0366, 1989. ,
DOI : 10.2514/6.1989-366
Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers, ACM Transactions on Mathematical Software, vol.28, issue.1, pp.101-132, 2002. ,
DOI : 10.1145/513001.513007
A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION???DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES, Mathematical Models and Methods in Applied Sciences, vol.14, issue.08, pp.1235-1260, 2004. ,
DOI : 10.1142/S0218202504003611
A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems, SIAM Journal on Numerical Analysis, vol.43, issue.5, pp.2172-2199, 2006. ,
DOI : 10.1137/040607071
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
Principles of mimetic discretizations, Compatible discretizations. Proceedings of IMA hot topics workshop on compatible discretizations, 2006. ,
The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, vol.15, 2008. ,
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
Convergence analysis of a mimetic finite difference method for general second-order elliptic problems, 2007. ,
Analyse de schémas volumes finis sur maillages non structurés pour desprobì emes linéaires hyperboliques et elliptiques, Toulose III, 1999. ,
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
Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.6, pp.1123-1149, 2000. ,
DOI : 10.1051/m2an:2000120
A Discrete Duality Finite Volume Approach to Hodge Decomposition and div???curl Problems on Almost Arbitrary Two???Dimensional Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.3, pp.1142-1174, 2007. ,
DOI : 10.1137/060655031
URL : https://hal.archives-ouvertes.fr/hal-00635633
A non-conforming finite volume element method of weighted upstream type for the two-dimensional stationary Navier???Stokes system, Applied Numerical Mathematics, vol.58, issue.5, pp.1872-1896, 2008. ,
DOI : 10.1016/j.apnum.2007.01.012
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
Error estimates for the convergence of a finite volume discretization of convection???diffusion equations, Journal of Numerical Mathematics, vol.11, issue.1, pp.1-32, 2003. ,
DOI : 10.1515/156939503322004873
URL : https://hal.archives-ouvertes.fr/hal-00018749
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
The finite volume method, Handbook for Numerical Analysis, pp.715-1022, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00110911
A finite volume scheme for anisotropic diffusion problems, Comptes Rendus Mathematique, vol.339, issue.4, pp.299-302, 2004. ,
DOI : 10.1016/j.crma.2004.05.023
URL : https://hal.archives-ouvertes.fr/hal-00003328
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
The finite volume method for Richards equation, Computational Geosciences, vol.3, issue.3/4, pp.259-294, 1999. ,
DOI : 10.1023/A:1011547513583
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
Benchmark on discretization schemes for anisotropic diffusion problems on general grids, Finite volumes for complex applications V, Problems and Perspectives, pp.659-692, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00429843
A Finite Volume Method for the Approximation of Diffusion Operators on Distorted Meshes, Journal of Computational Physics, vol.160, issue.2, pp.481-499, 2000. ,
DOI : 10.1006/jcph.2000.6466
Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.16-18, pp.1939-1959, 2003. ,
DOI : 10.1016/S0045-7825(02)00644-8
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
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.340921-926, 2005. ,
DOI : 10.1016/j.crma.2005.05.011
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes, Journal of Computational Physics, vol.227, issue.1, pp.492-512, 2007. ,
DOI : 10.1016/j.jcp.2007.08.008
Mass-conservative finite volume methods on 2-D unstructured grids for the Richards??? equation, Advances in Water Resources, vol.27, issue.12, pp.1199-1215, 2004. ,
DOI : 10.1016/j.advwatres.2004.08.008
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations, Journal of Computational Physics, vol.220, issue.2, pp.751-771, 2007. ,
DOI : 10.1016/j.jcp.2006.05.026
A finite volume method for advection-diffusion problems in convectiondominated regimes, Comput. Methods Appl. Mech. Engrg, vol.197, pp.13-161242, 2008. ,