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Mathematical Modelling and Numerical Analysis
Volumn 30, Issue 7, 1996, Pages 841-872
Convergence of a finite volume scheme for an elliptic-hyperbolic system
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EID: 0030355276     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300708411     Document Type: Article
Times cited : (24)
References (11)
  • 1
    • 85033738297 scopus 로고    scopus 로고
    • Numerical viscosity and convergence of finite volume methods for conservation laws with boundary conditions
    • to appear
    • 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.
    • SIAM Journal of Num. Anal.
    • Benharbit, S.1    Chalabi, A.2    Vila, J.P.3
  • 2
    • 21344489997 scopus 로고
    • Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation
    • S. CHAMPIER, T. GALLOUËT, 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.
    • (1993) Numer. Math. , vol.66 , pp. 139-157
    • Champier, S.1    Gallouët, T.2    Herbin, R.3
  • 3
    • 0021835204 scopus 로고
    • Measure-valued solutions to conservation laws
    • R. DIPERNA, 1985, Measure-Valued Solutions to Conservation Laws, Arch. Rat. Mech. Anal., 88, pp. 223-270.
    • (1985) Arch. Rat. Mech. Anal. , vol.88 , pp. 223-270
    • Diperna, R.1
  • 5
    • 0000156657 scopus 로고
    • Convergence d'un schéma de type eléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
    • 2AN, 27, 7, pp. 843-861.
    • (1993) 2AN , vol.27 , Issue.7 , pp. 843-861
    • Eymard, R.1    Gallouët, T.2
  • 6
    • 0028427165 scopus 로고
    • Comparison between finite volume and finite element methods for the numerical computation of an elliptic problem arising in electrochemical engineering
    • 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.
    • (1994) Comput. Math. Appl. Mech. Engin. , vol.115 , pp. 315-338
    • Fiard, J.M.1    Herbin, R.2
  • 7
    • 0010771910 scopus 로고
    • A uniqueness result for measure valued solutions of non linear hyperbolic equations
    • T. GALLOUËT, R. HERBIN, 1993, A uniqueness Result for Measure Valued Solutions of Non Linear Hyperbolic Equations, Differential Integral Equations, 6, 6, pp. 1383-1394.
    • (1993) Differential Integral Equations , vol.6 , Issue.6 , pp. 1383-1394
    • Gallouët, T.1    Herbin, R.2
  • 8
    • 0000023146 scopus 로고
    • An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh
    • 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.
    • (1994) Num. Meth. in P.D.E.
    • Herbin, R.1
  • 10
    • 0000870962 scopus 로고
    • Measure valued solution of scalar conservation laws with boundary conditions
    • A. SZEPESSY, 1989, Measure valued solution of scalar conservation laws with boundary conditions. Arch. Rat. Mech. Anal., 107, 2, pp. 182-193.
    • (1989) Arch. Rat. Mech. Anal. , vol.107 , Issue.2 , pp. 182-193
    • Szepessy, A.1
  • 11
    • 0001416923 scopus 로고
    • Finite difference schemes on triangular cell-centered grids with local refinement
    • 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.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , Issue.6 , pp. 1287-1313
    • Vassilevski, P.S.1    Petrova, S.I.2    Lazarov, R.D.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.