Convergence of a finite volume scheme on a MAC mesh for the Stokes problem with righthand side in H ?1, Finite volumes for complex applications IV, pp.133-142, 2005. ,
A PROOF OF THE INF???SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS, Mathematical Models and Methods in Applied Sciences, vol.13, issue.03, pp.361-371, 2003. ,
DOI : 10.1142/S0218202503002544
An extension of the mac scheme to some unstructured meshes In Finite volumes for complex applications VI, Finite Volumes for Complex Applications VI (FVCA VI), pp.253-261, 2011. ,
A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem, SIAM Journal on Numerical Analysis, vol.35, issue.2, pp.494-507, 1998. ,
DOI : 10.1137/S0036142996299964
Fluid flow and heat transfer test problems for non-orthogonal grids: Bench-mark solutions, International Journal for Numerical Methods in Fluids, vol.8, issue.3, pp.329-354, 1992. ,
DOI : 10.1002/fld.1650150306
MAC schemes on triangular meshes In Finite volumes for complex applications VI, Finite Volumes for Complex Applications VI (FVCA VI), pp.399-407, 2011. ,
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
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier???Stokes Equations on General 2D or 3D Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.1-36, 2007. ,
DOI : 10.1137/040613081
URL : https://hal.archives-ouvertes.fr/hal-00004841
MODELING WELLS IN POROUS MEDIA FLOW, Mathematical Models and Methods in Applied Sciences, vol.10, issue.05, pp.673-709, 2000. ,
DOI : 10.1142/S0218202500000367
Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model, Communications on Pure and Applied Analysis, vol.11, issue.6 ,
DOI : 10.3934/cpaa.2012.11.2371
Finite-element error estimates for the MAC scheme, IMA Journal of Numerical Analysis, vol.16, issue.3, pp.247-379, 1996. ,
DOI : 10.1093/imanum/16.3.347
A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations, SIAM Journal on Numerical Analysis, vol.35, issue.2, pp.560-571, 1998. ,
DOI : 10.1137/S0036142996300385
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Physics of Fluids, vol.8, issue.12, pp.2182-2189, 1965. ,
DOI : 10.1063/1.1761178
Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme, International Journal for Numerical Methods in Fluids, vol.57, issue.7, pp.941-950, 2008. ,
DOI : 10.1002/fld.1566
Les méthodes directes en théorie deséquationsdes´deséquations elliptiques, Masson et Cie, ´ Editeurs, 1967. ,
Analysis and Convergence of the MAC Scheme. I. The Linear Problem, SIAM Journal on Numerical Analysis, vol.29, issue.6, pp.1579-1591, 1992. ,
DOI : 10.1137/0729091
Analysis and convergence of the MAC scheme. II. Navier-Stokes
equations, Mathematics of Computation, vol.65, issue.213, pp.29-44, 1996. ,
DOI : 10.1090/S0025-5718-96-00665-5
The Covolume Approach to Computing Incompressible Flows, Incompressible computational fluid dynamics: trends and advances, pp.295-333, 2008. ,
DOI : 10.1017/CBO9780511574856.011
Numerical heat transfer and fluid flow Series in Computational Methods in Mechanics and Thermal Sciences, volume XIII, 1980. ,
Error estimates for MAC-like approximations to the linear Navier-Stokes equations, Numerische Mathematik, vol.96, issue.3, pp.291-30678, 1977. ,
DOI : 10.1007/BF01389214
Finite element interpolation of nonsmooth functions satisfying boundary conditions, Mathematics of Computation, vol.54, issue.190, pp.483-493, 1990. ,
DOI : 10.1090/S0025-5718-1990-1011446-7
Compact sets in the space lp(0,t;b) Annali, pp.65-96, 1987. ,
A superlinearly convergent Mach-uniform finite volume method for the Euler equations on staggered unstructured grids, Journal of Computational Physics, vol.217, issue.2, pp.277-294, 2006. ,
DOI : 10.1016/j.jcp.2006.01.031
Principles of Computational Fluid Dynamics, 2001. ,
DOI : 10.1007/978-3-642-05146-3