Vorticity???velocity-pressure and stream function-vorticity formulations for the Stokes problem, Journal de Math??matiques Pures et Appliqu??es, vol.82, issue.11, pp.1395-1451, 2003. ,
DOI : 10.1016/j.matpur.2003.09.002
URL : https://hal.archives-ouvertes.fr/hal-00096367
LeséquationsLeséquations de Stokes et de Navier- Stokes avec des conditions aux limites sur la pression, Nonlinear Partial Differential Equations and their Applications,Colì ege de France Seminar, pp.179-264, 1988. ,
Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3, Mathematics of Computation, vol.51, issue.183, pp.55-74, 1988. ,
DOI : 10.2307/2008579
Vorticity???velocity???pressure formulation for Navier???Stokes equations, Computing and Visualization in Science, vol.69, issue.5, pp.47-52, 2004. ,
DOI : 10.1007/s002110050088
Vorticity???velocity???pressure formulation for Navier???Stokes equations, Computing and Visualization in Science, vol.69, issue.5, pp.1673-1697, 2004. ,
DOI : 10.1007/s002110050088
Spectral discretization of the vorticity, velocity and pressure formulation of the Navier???Stokes equations, Numerische Mathematik, vol.110, issue.1, pp.1-26, 2006. ,
DOI : 10.1007/s00211-006-0684-z
Vorticity-velocity-pressure formulation for the Stokes problem, Mathematical Methods in the Applied Sciences, vol.12, issue.13, pp.1091-1191, 2002. ,
DOI : 10.1002/mma.328
First vorticity???velocity???pressure numerical scheme for the Stokes problem, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.44-46, pp.4877-4907, 2003. ,
DOI : 10.1016/S0045-7825(03)00377-3
URL : https://hal.archives-ouvertes.fr/hal-00096376
A priori and a posteriori estimates for three-dimensional Stokes equations with nonstandard boundary conditions, Numerical Methods for Partial Differential Equations, vol.9, issue.4, pp.1178-1193, 2012. ,
DOI : 10.1002/num.20676
Spectral Discretization of the Vorticity, Velocity, and Pressure Formulation of the Stokes Problem, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.826-850, 2006. ,
DOI : 10.1137/050622687
URL : https://hal.archives-ouvertes.fr/hal-00112164
Least-Squares Spectral Elements Applied to the Stokes Problem, Journal of Computational Physics, vol.181, issue.2, pp.454-477, 2002. ,
DOI : 10.1006/jcph.2002.7137
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
Covolume methods, pp.279-299, 1995. ,
Discrete duality finite volume method for second order elliptic problems, Finite Volumes for Complex Applications IV, pp.447-458, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00868449
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 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
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
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
A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations, SIAM Journal on Scientific Computing, vol.33, issue.4, pp.1739-1764, 2011. ,
DOI : 10.1137/100786046
The Discrete Duality Finite Volume Method for Convection-diffusion Problems, SIAM Journal on Numerical Analysis, vol.47, issue.6, pp.4163-4192, 2010. ,
DOI : 10.1137/080731219
Convergence of discrete duality finite volume schemes for the cardiac bidomain model, Networks and Heterogeneous Media, vol.6, pp.195-240, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00526047
A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation, electronic only, 2009. ,
Discrete duality finite volume schemes for two-dimensional drift-diffusion and energy-transport models, International Journal for Numerical Methods in Fluids, vol.192, issue.3, pp.239-257, 2009. ,
DOI : 10.1002/fld.1393
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 finite volume method for the approximation of Maxwell???s equations in two space dimensions on arbitrary meshes, Journal of Computational Physics, vol.227, issue.22, pp.9365-9388, 2008. ,
DOI : 10.1016/j.jcp.2008.05.013
Développement de méthodes de volumes finis pour la mécanique des fluides, 2007. ,
FINITE VOLUME METHOD FOR GENERAL MULTIFLUID FLOWS GOVERNED BY THE INTERFACE STOKES PROBLEM, Mathematical Models and Methods in Applied Sciences, vol.22, issue.05, p.1150025, 2012. ,
DOI : 10.1142/S0218202511500254
URL : https://hal.archives-ouvertes.fr/hal-00473783
The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.808-837, 2012. ,
DOI : 10.1137/110831593
A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions, electronic only, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01112399
A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions, electronic only, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01112401
On a stabilized colocated Finite Volume scheme for the Stokes problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.3, pp.501-527, 2006. ,
DOI : 10.1051/m2an:2006024
URL : https://hal.archives-ouvertes.fr/hal-00793601
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
Discrete Poincaré inequalities for arbitrary meshes in the discrete duality finite volume context, ETNA, Electronic Transactions on Numerical Analysis, vol.40, pp.94-119, 2013. ,
Nouvelles discrétisations non structurées pour desécoulementsdesécoulements de fluidesàfluidesà incompressibilité renforcée, 2002. ,
More pressure in the finite element discretization of the Stokes problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.5, pp.953-980, 2000. ,
DOI : 10.1051/m2an:2000111
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.33-76, 1973. ,
DOI : 10.1051/m2an/197307R300331
Finite Element Methods for Navier-Stokes Equations, 1986. ,
DOI : 10.1007/978-3-642-61623-5
The finite element method for elliptic problems, 1978. ,
An optimal Poincar?? inequality for convex domains, Archive for Rational Mechanics and Analysis, vol.5, issue.1, pp.286-292, 1960. ,
DOI : 10.1007/BF00252910
Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods, East-West J Numer Math, vol.8, pp.153-175, 2000. ,
Error estimates for some quasi-interpolation operators, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.4, pp.695-713, 1999. ,
DOI : 10.1051/m2an:1999158
A finite element for the numerical solution of viscous incompressible flows, Journal of Computational Physics, vol.30, issue.2, pp.181-201, 1979. ,
DOI : 10.1016/0021-9991(79)90098-6
Méthodes vitesse-tourbillon pour leséquationsleséquations de Navier-Stokes, in: Actes du 29ème congrès d'Analyse Numérique, pp.97-329, 1997. ,