메뉴 건너뛰기




Volumn 185, Issue 1, 2000, Pages 1-19

A posteriori error estimation for finite-volume solutions of hyperbolic conservation laws

Author keywords

Error estimation; Error source; Finite volume method; Hyperbolic equations

Indexed keywords

ERROR ANALYSIS; LINEAR EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0040735667     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00099-7     Document Type: Article
Times cited : (70)

References (20)
  • 4
    • 38849114462 scopus 로고    scopus 로고
    • A wave-model-based refinement criterion for adaptive-grid computations of compressible flows
    • H. Paillére, K.G. Powell, D.L. De Zeeuw, A wave-model-based refinement criterion for adaptive-grid computations of compressible flows, In AIAA Paper 92-0322, 1992.
    • In AIAA Paper 92-0322 , pp. 1992
    • Paillére, H.1    Powell, K.G.2    De Zeeuw, D.L.3
  • 5
    • 0029507294 scopus 로고
    • Error estimator and adaptive moving grids for finite volume schemes
    • Ilinca A., Camarero R., Trépanier J.-Y., Reggio M. Error estimator and adaptive moving grids for finite volume schemes. AIAA J. 33(11):1995;2058-2065.
    • (1995) AIAA J. , vol.33 , Issue.11 , pp. 2058-2065
    • Ilinca, A.1    Camarero, R.2    Trépanier, J.-Y.3    Reggio, M.4
  • 6
    • 0039835168 scopus 로고    scopus 로고
    • A dual graph-norm refinement indicator for finite volume approximations of the Euler equations
    • Sonar T., Süli E. A dual graph-norm refinement indicator for finite volume approximations of the Euler equations. Numerische Mathematik. 78(4):1998;619-658.
    • (1998) Numerische Mathematik , vol.78 , Issue.4 , pp. 619-658
    • Sonar, T.1    Süli, E.2
  • 10
    • 0020738318 scopus 로고
    • Nonlinear truncation error analysis of finite difference schemes for the Euler equations
    • Klopfer G.H., McRae D.S. Nonlinear truncation error analysis of finite difference schemes for the Euler equations. AIAA J. 21(4):1983;487-494.
    • (1983) AIAA J. , vol.21 , Issue.4 , pp. 487-494
    • Klopfer, G.H.1    McRae, D.S.2
  • 11
    • 0003319525 scopus 로고
    • Computational fluid dynamics for engineers
    • Austin, Texas, USA
    • K.A. Hoffmann, Computational fluid dynamics for engineers, Engineering Education System, Austin, Texas, USA, 1989.
    • (1989) Engineering Education System
    • Hoffmann, K.A.1
  • 12
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43(2):1981;357-372.
    • (1981) J. Comput. Phys. , vol.43 , Issue.2 , pp. 357-372
    • Roe, P.L.1
  • 14
    • 0026173702 scopus 로고
    • The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advetion
    • Leonard B.P. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advetion. Computer Meth. Appl. Mech. Engrg. 88:1991;17-74.
    • (1991) Computer Meth. Appl. Mech. Engrg. , vol.88 , pp. 17-74
    • Leonard, B.P.1
  • 16
    • 0000236066 scopus 로고
    • A comparative study of advanced shock-capturing schemes applied to Burgers' equation
    • Yang H.Q., Przekwas A.J. A comparative study of advanced shock-capturing schemes applied to Burgers' equation. J. Compt. Phys. 102:1992;139-159.
    • (1992) J. Compt. Phys. , vol.102 , pp. 139-159
    • Yang, H.Q.1    Przekwas, A.J.2
  • 17
    • 0002187037 scopus 로고
    • On the relation between the upwind-differencing schemes of Godunov Engquist-Osher and Roe
    • van Leer B. On the relation between the upwind-differencing schemes of Godunov Engquist-Osher and Roe. SIAM J. Sci. Stat. Comput. 5(1):1984;1-20.
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , Issue.1 , pp. 1-20
    • Van Leer, B.1
  • 18
    • 0028501732 scopus 로고
    • A time-accurate local time stepping method based on a flux-updating procedure
    • Zhang X.D., Trépanier J.-Y., Reggio M., Camarero R. A time-accurate local time stepping method based on a flux-updating procedure. AIAA J. 32(9):1994;1926-1929.
    • (1994) AIAA J. , vol.32 , Issue.9 , pp. 1926-1929
    • Zhang, X.D.1    Trépanier, J.-Y.2    Reggio, M.3    Camarero, R.4
  • 20
    • 0022477699 scopus 로고
    • Characteristic-based schemes for the Euler equations
    • Roe P.L. Characteristic-based schemes for the Euler equations. Ann. Rev. Fluid Mech. 18:1986;337-365.
    • (1986) Ann. Rev. Fluid Mech. , vol.18 , pp. 337-365
    • Roe, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.