A linear scheme satisfying a maximum principle for anisotropic diffusion operators on distorted grids;Un schéma linéaire vérifiant le principe du maximum pour des opérateurs de diffusion très anisotropes sur des maillages déformés

Comptes Rendus Mathematique

Volumn 347, Issue 1-2, 2009, Pages 105-110

  Le Potier, Christophe ^a  

^a DIF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58249083991     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.11.006     Document Type: Article

References (13)

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4. Dantzig G.B. Maximization of a linear function of variables subject to linear inequalities. In: Koopmans T.C. (Ed). Activity Analysis of Production and Allocation (1951), Wiley, New York 339-347 (Chapter 21)
5. Eymard R., Gallouët T., and Herbin R. Finite volume method. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis vol. VII (2000)
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9. Herbin R., and Hubert F. Benchmark on discretization schemes for anisotropic diffusion problems on general grids. in: 5th International Symposium on Finite Volumes for Complex Applications, June 08-13 (2008). http://www.latp.univ-mrs.fr/fvca5
10. Le Potier C. Finite volume scheme for highly anisotropic diffusion operators on unstructured meshes. C. R. Acad. Sci. Paris, Ser. I 340 (2005) 921-926
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12. C. Le Potier, Finite volume scheme satisfying maximum and minimum principles for anisotropic diffusion operators, in: Finite Volumes for Complex Applications V, Aussois, 2008, pp. 103-118
13. Xu J., and Zikatanov L. A monotone finite element scheme for convection-diffusion equations. Math. Comp. 66 228 (1999) 1429-1446