Numerical and theoretical study of a Dual Mesh Method using finite volume schemes for two phase flow problems in porous media

Numerische Mathematik

Volumn 80, Issue 4, 1998, Pages 601-639

  Verdiere S ^a   Vignal, M H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040598858     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050380     Document Type: Article

References (15)

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3. Eymard, R., Gallouët, T., Herbin, R.: The finite volume method. In: Ciarlet, Ph., Lions, J.L. (eds.) "Handbook of Numerical Analysis" (in preparation)
4. 2AN 27 (7), 843-861
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6. Guérillot, D., Verdière, S. (1997): Adaptive Upscaling with the Dual Mesh Method. Proceedings of Niper II, San Antonio
7. Herbin, R. (1995): An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh. Num. Meth. in P.D.E., 165-173
8. Lazarov, R.D., Mishev, I.D., Vassilevski, P.S. (1996): Finite Volume Method for Converction-Diffusion Problems. SIAM J. Numer. Anal. 33, 31-55
9. Rabier, P., Thomas, J.-M. (1985): Exercices d'analyse numérique des équations aux dérivées partielles. Masson, Paris
10. Raviart, P.-A., Thomas, J.-M. (1983): Introduction à l'analyse des équations aux dérivées partielles. Masson, Paris
11. Thomas, J.-M., Trujillo, D. (1995): Analysis of Finite Volumes Methods. Proceedings of Mathematical Modeling through Porous Media, St. Etienne, Ed. World Scientific, A. Bourgeat, C. Carasso, S. Luckaus, A. Michelic, 318-336
12. Vassilevski, P.S., Petrova, S.I., Lazarov, R.D. (1992): Finite Difference Schemes on Triangular Cell-Centered Grids With Local Refinement. SIAM J. Sci. Stat. Comput. 13, (6), 1287-1313
13. Verdière, S., Guérillot, D. (1995): Different pressure and Saturation Grids in Heterogeneous Porous Media. Proceedings of Mathematical Modeling through Porous Media, St. Etienne, Ed. World Scientific, A. Bourgeat, C. Carasso, S. Luckaus, A. Michelic, 506-511
14. Verdière, S., Guérillot, D., Thomas, J. M. (1996): Dual Mesh Method in Heterogeneous Porous Media. Proceedings of the 5th European Conference on the Mathematics of Oil Recovery, Leoben (Austria)
15. 2AN 30 (7), 841-872