Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes;Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés

Comptes Rendus Mathematique

Volumn 341, Issue 12, 2005, Pages 787-792

  Le Potier, Christophe ^a  

^a DEN/DM2S/SFME/MTMS ^*  (France)

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[No Author keywords available]

Indexed keywords

EID: 29744434340     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.10.010     Document Type: Article

References (7)

1. F. Brezzi M. Fortin Mixed and Hybrid Finite Methods 1991 Springer-Verlag New York
2. G. Bernard-Michel C. Le Potier A. Beccantini S. Gounand M. Chraibi The Andra Couplex1 test: Comparisons between Finite Element, Mixed Hybrid Finite Element and Finite Volume Element Discretizations: Simulation of Transport around a Nuclear Waste Disposal Site Comput. Geosci. 8 2 2004 187-201
3. P.G. Ciarlet P.A. Raviart Maximum principle and uniform convergence for the finite element method Comput. Methods Appl. Mech. Engrg. 2 1973 17-31
4. F. Dabbène, Mixed hybrid finite elements for transport of pollutants by undergrounds water, in: Proceeding of the 10th International Conference on Finite Elements in Fluids, Tucson, USA, 1998
5. R. Herbin An error estimate for a finite volume for a diffusion-convection problem on a triangular mesh Numer. Methods Partial Differential Equations 1995 165-173
6. C. Le Potier, A finite volume method for the approximation of highly anisotropic diffusion operators on unstructured meshes, in: Finite Volumes for Complex Applications IV, Marrakech, Marocco, 2005
7. C. Le Potier Schéma volumes finis pour des opérateurs de diffusion fortement anisotropes sur des maillages non structurés C. R. Acad. Sci., Ser. I 340 2005 921-926