메뉴 건너뛰기




Volumn 43, Issue 4, 2005, Pages 1481-1503

A posteriori error estimations of some cell-centered finite volume methods

Author keywords

A posteriori error estimates; Cell centered method; Finite volume method

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; ERROR ANALYSIS; LAPLACE TRANSFORMS; NUMERICAL METHODS;

EID: 33747183019     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142903437787     Document Type: Article
Times cited : (32)

References (26)
  • 1
    • 0038256703 scopus 로고    scopus 로고
    • A posteriori error estimator for finite volume methods
    • A. AGOUZAL AND F. OUDIN, A posteriori error estimator for finite volume methods, Appl. Math. Comput., 110 (2000), pp. 239-250.
    • (2000) Appl. Math. Comput. , vol.110 , pp. 239-250
    • Agouzal, A.1    Oudin, F.2
  • 2
    • 0034664367 scopus 로고    scopus 로고
    • Estimateurs a posteriori d'un schélma de volumes finis pour un problème non linéaire
    • A. BERGAM AND Z. MGHAZLI, Estimateurs a posteriori d'un schélma de volumes finis pour un problème non linéaire, C. R. Math Acad. Sci. Paris Sér. I Math., 331 (2000), pp. 475-478.
    • (2000) C. R. Math Acad. Sci. Paris Sér. I Math. , vol.331 , pp. 475-478
    • Bergam, A.1    Mghazli, Z.2
  • 3
    • 0242276163 scopus 로고    scopus 로고
    • A posteriori estimators for the finite volume discretization of an elliptic problem
    • A. BERGAM, Z. MGHAZLI, AND R. VERFÜRTH, A posteriori estimators for the finite volume discretization of an elliptic problem, Numer. Math., 95 (2003), pp. 599-624.
    • (2003) Numer. Math. , vol.95 , pp. 599-624
    • Bergam, A.1    Mghazli, Z.2    Verfürth, R.3
  • 5
    • 0039938830 scopus 로고    scopus 로고
    • Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
    • Y. COUDIÈRE, J.-P. VILLA, AND P. VILLEDIEU, Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem, M2AN Math. Model. Numer. Anal., 33 (1999), pp. 493-516.
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , pp. 493-516
    • Coudière, Y.1    Villa, J.-P.2    Villedieu, P.3
  • 6
    • 0039600678 scopus 로고    scopus 로고
    • Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes
    • Y. COUDIÈRE AND P. VILLEDIEV, Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes, M2AN Math. Model. Numer. Anal., 34 (2000), pp. 1123-1149.
    • (2000) M2AN Math. Model. Numer. Anal. , vol.34 , pp. 1123-1149
    • Coudière, Y.1    Villediev, P.2
  • 7
    • 0040517608 scopus 로고    scopus 로고
    • A posteriori error estimators for nonconforming finite element methods
    • E. DARI, R. DURÁN, C. PADRA, AND V. VAMPA, A posteriori error estimators for nonconforming finite element methods, M2AN Math. Model. Numer. Anal., 30 (1996), pp. 385-400.
    • (1996) M2AN Math. Model. Numer. Anal. , vol.30 , pp. 385-400
    • Dari, E.1    Durán, R.2    Padra, C.3    Vampa, V.4
  • 8
    • 11144340770 scopus 로고    scopus 로고
    • Some refined finite volume methods for elliptic problems with corner singularities
    • K. DJADEL, S. NICAISE, AND J. TABKA, Some refined finite volume methods for elliptic problems with corner singularities, Int. J. Finite Volumes, (3003), http://averoes.math.univ.paris13.fr/IJFVDB, PAPERS/RevFv-Nicaise.pdf.
    • (2003) Int. J. Finite Volumes
    • Djadel, K.1    Nicaise, S.2    Tabka, J.3
  • 9
    • 0037958728 scopus 로고    scopus 로고
    • Error estimates for the convergence of a finite volume discretization of convection-diffusion equations
    • J. DRONIOU, Error estimates for the convergence of a finite volume discretization of convection-diffusion equations, J. Numer. Math., 11 (2003), pp. 1-32.
    • (2003) J. Numer. Math. , vol.11 , pp. 1-32
    • Droniou, J.1
  • 10
    • 70350322945 scopus 로고    scopus 로고
    • Finite volume methods
    • P. Ciarlet and J.-L. Lions, eds., North Holland, Amsterdam
    • R. EYMARD, T. GALLOUËT, AND R. HERBIN, Finite volume methods, in Handbook of Numerical Analysis, Vol. 7, P. Ciarlet and J.-L. Lions, eds., North Holland, Amsterdam, 2000, pp. 723-1020.
    • (2000) Handbook of Numerical Analysis , vol.7 , pp. 723-1020
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 11
    • 0003208901 scopus 로고
    • Finite element methods for Navier-Stokes equations, theory and algorithms
    • Springer, New York
    • V. GIRAULT AND P.-A. RAVIART, Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms, Springer Series in Comput. Math. 5, Springer, New York, 1986.
    • (1986) Springer Series in Comput. Math. , vol.5
    • Girault, V.1    Raviart, P.-A.2
  • 12
    • 33747151976 scopus 로고    scopus 로고
    • A posteriori error estimate for finite volume approximation of convection-diffusion problems
    • R. Herbin and D. Kröner, eds., Hermès, London
    • R. HERBIN AND M. OHLBERGER, A posteriori error estimate for finite volume approximation of convection-diffusion problems, in Finite Volume for Complex Applications, R. Herbin and D. Kröner, eds., Hermès, London, 2002, pp. 753-760.
    • (2002) Finite Volume for Complex Applications , pp. 753-760
    • Herbin, R.1    Ohlberger, M.2
  • 13
    • 1342301434 scopus 로고    scopus 로고
    • An error indicator for cell-centered finite volumes for linear convection-fusion problems
    • R. Herbin and D. Kröner, eds., Hermès, London
    • N. JULUAN, An error indicator for cell-centered finite volumes for linear convection-fusion problems, in Finite Volume for Complex Applications, R. Herbin and D. Kröner, eds., Hermès, London, 2002, pp. 777-784.
    • (2002) Finite Volume for Complex Applications , pp. 777-784
    • Juluan, N.1
  • 14
    • 0040016270 scopus 로고    scopus 로고
    • A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
    • D. KRÖNER AND M. OHLBERGER, A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions, Math. Comp., 69 (1999), pp. 25-39.
    • (1999) Math. Comp. , vol.69 , pp. 25-39
    • Kröner, D.1    Ohlberger, M.2
  • 15
    • 33747174884 scopus 로고    scopus 로고
    • Adaptive finite volume element method for convection-diffusion-reaction problems in 3-d
    • Y. W. P. Minev and Y. Lin, eds., Nova Science Publishing House, Huntington, NY
    • R. LAZAROV AND S. TOMOV, Adaptive finite volume element method for convection-diffusion-reaction problems in 3-d, in Scientific Computing and Application, Y. W. P. Minev and Y. Lin, eds., Nova Science Publishing House, Huntington, NY, 2001, pp. 91-106.
    • (2001) Scientific Computing and Application , pp. 91-106
    • Lazarov, R.1    Tomov, S.2
  • 16
    • 0036930181 scopus 로고    scopus 로고
    • A posteriori error estimates for finite volume approximations of convection-diffusion-reaction equations
    • R. LAZAROV AND S. TOMOV, A posteriori error estimates for finite volume approximations of convection-diffusion-reaction equations, Comput. Geosci., 6 (2002), pp. 483-503.
    • (2002) Comput. Geosci. , vol.6 , pp. 483-503
    • Lazarov, R.1    Tomov, S.2
  • 17
    • 0039400822 scopus 로고
    • A posteriori error estimates for the cell-vertex finite volume method
    • W. Hackbusch and G. Wittum, eds., Vieweg, Berlin
    • J. MACKENZIE, T. SONAR, AND G. WARNECKE, A posteriori error estimates for the cell-vertex finite volume method, in Adaptive Methods: Algorithms, Theory and Applications, W. Hackbusch and G. Wittum, eds., Vieweg, Berlin, 1994, pp. 221-235.
    • (1994) Adaptive Methods: Algorithms, Theory and Applications , pp. 221-235
    • Mackenzie, J.1    Sonar, T.2    Warnecke, G.3
  • 18
    • 0000650634 scopus 로고
    • The triangular equilibrium element in the solution of plate bending problems
    • L. MORLEY, The triangular equilibrium element in the solution of plate bending problems, Aero. Quarterly, 19 (1968), pp. 149-169.
    • (1968) Aero. Quarterly , vol.19 , pp. 149-169
    • Morley, L.1
  • 19
    • 0040160933 scopus 로고
    • A posteriori and a priori error analysis of finite volume methods
    • J. R. Whiteman, ed., John Wiley and Sons, New York
    • K. W. MORTON AND E. SÜLI, A posteriori and a priori error analysis of finite volume methods, in The Mathematics of Finite Elements and Applications, J. R. Whiteman, ed., John Wiley and Sons, New York, 1994, pp. 267-288.
    • (1994) The Mathematics of Finite Elements and Applications , pp. 267-288
    • Morton, K.W.1    Süli, E.2
  • 20
    • 34547372341 scopus 로고    scopus 로고
    • A posteriori error estimations of some cell-centered finite volume methods for diffusion-convection-reaction problems
    • submitted
    • S. NICAISE, A posteriori error estimations of some cell-centered finite volume methods for diffusion-convection-reaction problems, SIAM J. Numer. Anal., submitted.
    • SIAM J. Numer. Anal.
    • Nicaise, S.1
  • 22
    • 0035585644 scopus 로고    scopus 로고
    • A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations
    • M. OHLBERGER, A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations, Numer. Math., 87 (2001), pp. 737-761.
    • (2001) Numer. Math. , vol.87 , pp. 737-761
    • Ohlberger, M.1
  • 23
    • 0035592173 scopus 로고    scopus 로고
    • A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
    • M. OHLBERGER, A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations, M2AN Math. Model. Numer. Anal., 35 (2001), pp. 355-387.
    • (2001) M2AN Math. Model. Numer. Anal. , vol.35 , pp. 355-387
    • Ohlberger, M.1
  • 25
    • 0039835168 scopus 로고    scopus 로고
    • A dual graph-norm refinement indicator for finite volume approximations of the Euler equations
    • T. SONAR AND E. SÜLI, A dual graph-norm refinement indicator for finite volume approximations of the Euler equations, Numer. Math., 78 (1998), pp. 619-658.
    • (1998) Numer. Math. , vol.78 , pp. 619-658
    • Sonar, T.1    Süli, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.