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Volumn 94, Issue 3, 2003, Pages 573-602

Convergence of an explicit finite volume scheme for first order symmetric systems

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EID: 0142118609     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-002-0396-y     Document Type: Article
Times cited : (35)

References (25)
  • 1
    • 0000583242 scopus 로고
    • Numerical viscosity, and convergence of finite volume Methods for conservation laws with Boundary conditions
    • S. Benharbit, A. Chalabi, J.P. Vila: Numerical viscosity, and convergence of finite volume Methods for conservation laws with Boundary conditions. SIAM J. Numer. Anal. 32(3), 775-796 (1995)
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.3 , pp. 775-796
    • Benharbit, S.1    Chalabi, A.2    Vila, J.P.3
  • 3
    • 0042301502 scopus 로고
    • Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire
    • S. Champier, T. Gallouet: Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire, M2AN, 26(7), 835-853 (1992)
    • (1992) M2AN , vol.26 , Issue.7 , pp. 835-853
    • Champier, S.1    Gallouet, T.2
  • 4
    • 21344489997 scopus 로고
    • Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation
    • S. Champier, T. Gallouet, R. Herbin: Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation. Numer. Math. 66, 139-157 (1993)
    • (1993) Numer. Math. , vol.66 , pp. 139-157
    • Champier, S.1    Gallouet, T.2    Herbin, R.3
  • 5
    • 84968494859 scopus 로고
    • An error estimate for finite volume for multidimensional conservation laws
    • B. Cockburn, F. Coquel, P.G. Lefloch: An error estimate for finite volume for multidimensional conservation laws. Math of Comp. 1994
    • (1994) Math of Comp.
    • Cockburn, B.1    Coquel, F.2    Lefloch, P.G.3
  • 6
    • 0000805244 scopus 로고
    • Convergence of finite volume method for multidimensionnal conservation laws
    • B. Cockburn, F. Coquel, P. Lefloch, C.W. Shu: Convergence of finite volume method for multidimensionnal conservation laws. SIAM J. Numer. Anal. 32(3), 687-705, (1995)
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.3 , pp. 687-705
    • Cockburn, B.1    Coquel, F.2    Lefloch, P.3    Shu, C.W.4
  • 7
    • 0031527629 scopus 로고    scopus 로고
    • A priori error estimates for numerical methods for scalar conservation laws, part II: Flux-splitting monotone schemes on irregular cartesian grids
    • B. Cockburn, P.A. Gremaud: A priori error estimates for numerical methods for scalar conservation laws, part II: flux-splitting monotone schemes on irregular cartesian grids. Math of Comp. 66(218), 547-572 (1997)
    • (1997) Math of Comp. , vol.66 , Issue.218 , pp. 547-572
    • Cockburn, B.1    Gremaud, P.A.2
  • 8
    • 0142065078 scopus 로고    scopus 로고
    • Convergence d'un schéma volumes Finis explicite en temps pour les système hyperboliques linéaires symétriques en domaines bornés
    • Y. Coudière, J.P. Vila, Ph. Villedieu: Convergence d'un schéma volumes Finis explicite en temps pour les système hyperboliques linéaires symétriques en domaines bornés, C.R. Académie des Sci de Paris, Série I, 331, 95-100 (2000)
    • (2000) C.R. Académie des Sci de Paris, Série I , vol.331 , pp. 95-100
    • Coudière, Y.1    Vila, J.P.2    Villedieu, Ph.3
  • 9
    • 84966246413 scopus 로고
    • TVB Runge-kutta projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • B. Cockburn, C.W. Shu: TVB Runge-kutta projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. of Comp. 52, 411-435 (1989)
    • (1989) Math. of Comp. , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.W.2
  • 11
    • 0021835204 scopus 로고
    • Measure-valued solution to conservation laws
    • R.J. Diperna: Measure-valued solution to conservation laws. Arch. Rat. Mech. Anal. 88, 223-270 (1985)
    • (1985) Arch. Rat. Mech. Anal. , vol.88 , pp. 223-270
    • Diperna, R.J.1
  • 12
    • 0001636776 scopus 로고
    • Symmetric Hyperbolic Linear Differential Equations
    • K.O. Friedrichs: Symmetric Hyperbolic Linear Differential Equations. C.P.A.M. 11, 345-392 (1958)
    • (1958) C.P.A.M. , vol.11 , pp. 345-392
    • Friedrichs, K.O.1
  • 15
    • 0001623589 scopus 로고
    • An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
    • C. Johnson, J. Pitkaranka: An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Math. of Comp. 47, 285-312 (1986)
    • (1986) Math. of Comp. , vol.47 , pp. 285-312
    • Johnson, C.1    Pitkaranka, J.2
  • 17
    • 0028413621 scopus 로고
    • Convergence of upwind finite volume schemes for scalar conservation laws in 2D
    • D. Kröner, M. Rokyta: Convergence of upwind finite volume schemes for scalar conservation laws in 2D. SIAM J. Numer. Anal 31, 324-343 (1994)
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 324-343
    • Kröner, D.1    Rokyta, M.2
  • 18
    • 0001161125 scopus 로고
    • Accuracy of some approximate methods for computing the weak solution of a first order quasi-linear equation
    • N.N. Kuznetsov: Accuracy of some approximate methods for computing the weak solution of a first order quasi-linear equation. USSR Comp.Math. and Math. Phys. 16, 105-119 (1976)
    • (1976) USSR Comp.Math. and Math. Phys. , vol.16 , pp. 105-119
    • Kuznetsov, N.N.1
  • 19
    • 0002763761 scopus 로고
    • On a finite elemnt method for solving the neutron transport equation
    • P.D.E., C. de Boor, ed., Academic Press, New York
    • P. Lesaint, P.A. Raviart: On a finite elemnt method for solving the neutron transport equation. In math; Aspects of F.E. in P.D.E., C. de Boor, ed., Academic Press, New York, 89-123 (1974)
    • (1974) Math; Aspects of F.E. , pp. 89-123
    • Lesaint, P.1    Raviart, P.A.2
  • 21
    • 0026106576 scopus 로고
    • A note on the convergence of the discontinuous galerkin method for a scalar hyperbolic equation
    • T.E. Peterson: A note on the convergence of the discontinuous galerkin method for a scalar hyperbolic equation. SIAM J. Num. Anal., 28(1), 133-140 (1991)
    • (1991) SIAM J. Num. Anal. , vol.28 , Issue.1 , pp. 133-140
    • Peterson, T.E.1
  • 22
    • 0003630916 scopus 로고
    • Triangular mesh methods for the neutron transport equation
    • Los Alamos National Laboratory, Los Alamos, NM
    • W.H. Reed, T.R. Hill: Triangular mesh methods for the neutron transport equation. Tech. report LA-UR-73-479, Los Alamos National Laboratory, Los Alamos, NM, 1973
    • (1973) Tech. Report , vol.LA-UR-73-479
    • Reed, W.H.1    Hill, T.R.2
  • 23
    • 84966227504 scopus 로고
    • An optimal order estimate for the discontinuous galerkin method
    • G.R. Richter: An optimal order estimate for the discontinuous galerkin method. Math. Comp. 50, 75-88 (1988)
    • (1988) Math. Comp. , vol.50 , pp. 75-88
    • Richter, G.R.1
  • 24
    • 0001613507 scopus 로고
    • Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws: I Explicit monotone schemes
    • J.P. Vila: Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws: I Explicit monotone schemes. M2AN 1994
    • (1994) M2AN 1994
    • Vila, J.P.1
  • 25
    • 0031231889 scopus 로고    scopus 로고
    • Convergence de la méthode des volumes finis pour les systèmes de Friedrichs
    • t. 325, Série 1
    • J.P. Vila, P. Villedieu: Convergence de la méthode des volumes finis pour les systèmes de Friedrichs. C.R. Acad. Sci. Paris, t. 325, Série 1, 671-676 (1997)
    • (1997) C.R. Acad. Sci. Paris , pp. 671-676
    • Vila, J.P.1    Villedieu, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.