An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes

Numerical Methods for Partial Differential Equations

Volumn 20, Issue 6, 2004, Pages 907-918

  Blanc, Philippe ^a   Eymard, Robert ^a   Herbin, Raphaèle ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Finite volume scheme; Stokes equation

Indexed keywords

EID: 7444257411     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.20020     Document Type: Article

References (7)

1. 1 P. G. Ciarlet, The finite element method for elliptic problems North‐Holland, Amsterdam, 1978.
2. 2 R. Eymard, T. Gallouet, and R. Herbin, Finite volume methods. Handbook for numerical analysis, Ph. Ciarlet and J. L. Lions, editors, North Holland, Amsterdam, 2000, Vol. VII, pp 715–1022.
3. 3 A. Alami‐Idrissi and M. Atounti, An error estimate for finite volume methods for the Stokes equations, J Inequalities Pure Appl Math 3 (1) ( 2002), Article 17.
4. 4 R. Herbin, An error estimate for a finite volume scheme for a diffusion‐convection problem on a triangular mesh, Num Meth PDE 11 ( 1995), 165–173.
5. 5 T. Gallouët, R. Herbin, and M. H. Vignal, Error estimate for the approximate finite volume solutions of convection diffusion equations with general boundary conditions, SIAM J Numer Anal 37 (6) ( 2000), 1935–1972.
6. 6 R. Eymard and R. Herbin, A cell‐centered finite volume scheme on general meshes for the Stokes equations in two dimensions, CRAS, Mathématiques 337 (2) ( 2003), 125–128.
7. 7 R. Eymard and R. Herbin, A finite volume scheme on general meshes for the steady Navier‐Stokes problem in two space dimensions, LATP preprint, submitted ( 2003). http://www.cmi.univ‐mrs.fr/∼herbin/