A cell-centered finite volume scheme on general meshes for the stokes equations in two space dimensions

Comptes Rendus Mathematique

Volumn 337, Issue 2, 2003, Pages 125-128

  Eymard, Robert ^a   Herbin, Raphaèle ^b  

^a UNIVERSITÉ GUSTAVE EIFFEL   (France)

^b AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043207275     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00266-8     Document Type: Article

References (7)

1. Ph. Blanc, R. Eymard, R. Herbin, An error estimate for finite volume methods for the Stokes equations, LATP preprint, 2002, Université Aix-Marseille 1.
2. R. Eymard, T. Gallouët, R. Herbin, Finite volume methods, in: P.G. Ciarlet, J.-L. Lions (Eds.), Handbook of Numerical Analysis, Vol. VII, North-Holland, pp. 713-1020.
3. R. Eymard, R. Herbin, A finite volume scheme on general meshes for the Stokes equations in two-space dimensions, LATP preprint, 2003, Université Aix-Marseille 1.
4. V. Girault, P.-A. Raviart, Finite Element Methods for the Navier-Stokes Equations: Theory and Algorithms, Springer, Berlin, 1986.
5. R.A. Nicolaïdes, X. Wu, Analysis and convergence of the MAC scheme II, Navier-Stokes equations, Math. Comp. 65 (1996) 29-44.
6. S.V. Patankar, Numerical heat transfer and fluid flow, in: Minkowycz, Sparrow (Eds.), Series in Computational Methods in Mechanics and Thermal Sciences, McGraw-Hill, 1980.
7. R. Temam, Navier-Stokes Equations, in: J.-L. Lions, G. Papanicolaou, R.T. Rockafellar (Eds.), Stud. Math. Appl., North-Holland, 1977.