Free Access
Issue
ESAIM: M2AN
Volume 30, Number 7, 1996
Page(s) 841 - 872
DOI https://doi.org/10.1051/m2an/1996300708411
Published online 31 January 2017
  1. S. BENHARBIT, A. CHALABI, J. P. VILA, Numerical Viscosity and Convergence of Finite Volume Methods for Conservation Laws with Boundary Conditions, to appear in SIAM Journal of Num. Anal. [MR: 1335655] [Zbl: 0865.35082]
  2. S. CHAMPIER, T. GALLOUET, R. HERBIN, 1993, Convergence of an Upstream finite volume scheme on a Triangular Mesh for a Nonlinear Hyperbolic Equation, Numer. Math. 66, pp. 139-157. [EuDML: 133756] [MR: 1245008] [Zbl: 0801.65089]
  3. R. DIPERNA, 1985, Measure-Valued Solutions to Conservation Laws, Arch. Rat. Mech. Anal., 88, pp. 223-270. [MR: 775191] [Zbl: 0616.35055]
  4. R. EYMARD, T. GALLOUET, R. HERBIN, The finite volume method, in preparation for the Handbook of Numerical Analysis Ph. Ciarlet and J. L. Lions eds. [Zbl: 0981.65095]
  5. R. EYMARD, T. GALLOUET, 1993, Convergence d'un schéma de type Eléments Finis-Volumes Finis pour un système formé d'une équation elliptique et d'une équation hyperbolique, M2AN, 27, 7, pp. 843-861. [EuDML: 193726] [MR: 1249455] [Zbl: 0792.65073]
  6. J. M. FIARD and R. HERBIN, 1994, Comparison between finite volume and finite element methods for the numerical computation of an elliptic problem arising in electrochemical engineering, Comput. Math. Appl. Mech. Engin., 115, pp. 315-338.
  7. T. GALLOUET, R. HERBIN, 1993, A uniqueness Result for Measure Valued Solutions of Non Linear Hyperbolic Equations, Differential Integral Equations, 6, 6, pp. 1383-1394. [MR: 1235201] [Zbl: 0806.35114]
  8. R. HERBIN, 1994, An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh, Num. Meth. in P.D.E. [MR: 1316144] [Zbl: 0822.65085]
  9. R. HERBIN, O. LABERGERIE, Finite volume and finite element schemes for elliptic-hyperbolic problems, submitted. [Zbl: 0897.76072]
  10. A. SZEPESSY, 1989, Measure valued solution of scalar conservation laws with boundary conditions, Arch. Rat. Mech. Anal., 107, 2, pp. 182-193. [MR: 996910] [Zbl: 0702.35155]
  11. P. S. VASSILEVSKI, S. I. PETROVA, R. D. LAZAROV, 1992, Finite Difference Schemes on Triangular Cell-Centered Grids With Local Refinement, SIAM J. Sci. Stat. Comput., 13, 6, pp. 1287-1313. [MR: 1185647] [Zbl: 0813.65115]

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