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
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
error estimator for the mimetic finite difference approximation of elliptic problems, International Journal for Numerical Methods in Engineering, vol.45, issue.1-2, pp.1696-1723, 2008. ,
DOI : 10.1002/nme.2377
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems, IMA Journal of Numerical Analysis, vol.31, issue.4, pp.1357-1401, 2011. ,
DOI : 10.1093/imanum/drq018
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
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian, Comptes Rendus Mathematique, vol.346, issue.17-18, pp.3461013-1016, 2008. ,
DOI : 10.1016/j.crma.2008.07.005
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
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 OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES, Mathematical Models and Methods in Applied Sciences, vol.16, issue.02, pp.275-297, 2006. ,
DOI : 10.1142/S0218202506001157
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion, SIAM Journal on Numerical Analysis, vol.29, issue.1, pp.182-193, 1992. ,
DOI : 10.1137/0729012
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
Nonlinear functional analysis, 1985. ,
DOI : 10.1007/978-3-662-00547-7
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
Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing, SIAM Journal on Numerical Analysis, vol.46, issue.1, pp.37-6008, 2007. ,
DOI : 10.1137/070685038
Finite volume schemes for fully non-linear elliptic equations in divergence form, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.6, pp.1069-1100, 2006. ,
DOI : 10.1051/m2an:2007001
URL : https://hal.archives-ouvertes.fr/hal-00009614
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
Study of the mixed finite volume method for Stokes and Navier-Stokes equations, Numerical Methods for Partial Differential Equations, vol.7, issue.1, pp.137-171, 2009. ,
DOI : 10.1002/num.20333
URL : https://hal.archives-ouvertes.fr/hal-00110911
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
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
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.1009-1043, 2010. ,
DOI : 10.1093/imanum/drn084
Small-stencil 3D schemes for diffusive flows in porous media, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.2, pp.265-290, 2012. ,
DOI : 10.1051/m2an/2011040
URL : https://hal.archives-ouvertes.fr/hal-00542667
Applications of approximate gradient schemes for nonlinear parabolic equations. submitted, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00744767
Gradient Scheme Approximations for Diffusion Problems In Finite volumes for complex applications VI, Problems & Perspectives, pp.439-447, 2011. ,
Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model, Communications on Pure and Applied Analysis, vol.11, issue.6, 2012. ,
DOI : 10.3934/cpaa.2012.11.2371
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
Quelques résultats de Vi?ik sur lesprobì emes elliptiques nonlinéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France, vol.93, pp.97-107, 1965. ,
DOI : 10.1007/978-3-642-11030-6_1
URL : http://archive.numdam.org/article/SJL_1964___1_1_0.pdf
Variational crimes in the finite element method In The mathematical foundations of the finite element method with applications to partial differential equations, Proc. Sympos, pp.689-710, 1972. ,
Coherence-enhancing diffusion filtering, International Journal of Computer Vision, vol.31, issue.2/3, pp.111-127, 1999. ,
DOI : 10.1023/A:1008009714131