Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate

Mathematical Modelling and Numerical Analysis

Volumn 33, Issue 1, 1999, Pages 129-156

  Chainais Hillairet, Claire ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033435427     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:1999109     Document Type: Article

References (8)

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2. R. Eymard, T. Gallouët, M. Ghilani and R. Herbin, Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by some finite volume schemes. IMA. J. Numer. Anal. 18 (1998) 563-594.
3. R. Eymard, T. Gallouët and R. Herbin, Convergence of a finite volume scheme for a nonlinear hyperbolic equation, Proceedings of the Third colloquium on numerical analysis, edited by D. Bainov and V. Covachev. Elsevier (1995) 61-70.
4. R. Eymard, T. Gallouët and R. Herbin, Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Chin. Ann. Math. B16 (1995) 1-14.
5. S.N. Kruskov, First order quasilinear equations with several space variables. Math. USSR. Sb. 10 (1970) 217-243.
6. R. Di Perna, Measure-valued solutions to conservation laws. Arch. Rat. Mech. Anal. 88 (1985) 223-270.
7. R.J. Le Veque, Numerical methods for conservation laws. Birkhaeuser (1990).
8. J.P. Vila, Convergence and error estimate in finite volume schemes for general multidimensional conservation laws. RAIRO Modèl. Math. Anal. Num. 28 (1994) 267-285.