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Volumn 30, Issue 4, 1996, Pages 445-465

Connection between finite volume and mixed finite element methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0004492939     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300404451     Document Type: Article
Times cited : (101)

References (16)
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    • J. BARANGER, P. EMONOT, J.-F. MAITRE, 1992, High order lagrangian finite volume elements for elliptic boundary value problems, Numerical Methods in Engineering 92, Ch. Hirsch et al. ed., Elsevier Science Publishers, pp. 709-713.
    • (1992) Numerical Methods in Engineering 92 , vol.92 , pp. 709-713
    • Baranger, J.1    Emonot, P.2    Maitre, J.-F.3
  • 2
    • 0000381760 scopus 로고
    • Application de la théorie des éléments finis mixtes à l'étude d'une classe de schémas aux volumes différences finis pour les problèmes elliptiques
    • Série I
    • J. BARANGER, J.-F. MAITRE, F. OUDIN, 1994, Application de la théorie des éléments finis mixtes à l'étude d'une classe de schémas aux volumes différences finis pour les problèmes elliptiques, C.R. Acad. Sci. Paris, 319, Série I, pp. 401-404.
    • (1994) C.R. Acad. Sci. Paris , vol.319 , pp. 401-404
    • Baranger, J.1    Maitre, J.-F.2    Oudin, F.3
  • 5
    • 0026941142 scopus 로고
    • A control volume method to solve an elliptic equation on a two-dimensional irregular mesh
    • I. FAILLE, 1992, A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Comput. Methods Appl. Mech. Engrg., 100, pp. 275-290.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.100 , pp. 275-290
    • Faille, I.1
  • 9
    • 0024776669 scopus 로고
    • On first and second order box schemes
    • W. HACKBUSCH, 1989, On first and second order box schemes, Computing, 41, pp. 277-296.
    • (1989) Computing , vol.41 , pp. 277-296
    • Hackbusch, W.1
  • 10
    • 0011588944 scopus 로고
    • Condensation de la matrice de masse pour les éléments finis mixtes de H(rot)
    • Série 1
    • Y. HAUGAZEAU, P. LACOSTE, 1993, Condensation de la matrice de masse pour les éléments finis mixtes de H(rot), C.R. Acad. Sci. Paris, 316, Série 1, pp. 509-512.
    • (1993) C.R. Acad. Sci. Paris , vol.316 , pp. 509-512
    • Haugazeau, Y.1    Lacoste, P.2
  • 11
    • 0000023146 scopus 로고    scopus 로고
    • An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh
    • accepted for publication
    • R. HERBIN, An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh, accepted for publication in Num. Meth. P.D.E.
    • Num. Meth. P.D.E
    • Herbin, R.1
  • 12
    • 0000561839 scopus 로고
    • Finite volume methods and their analysis
    • K. W. MORTON, E. SULI, 1991, Finite volume methods and their analysis, IMA Journal of Num. Anal., 11, pp. 241-260.
    • (1991) IMA Journal of Num. Anal. , vol.11 , pp. 241-260
    • Morton, K.W.1    Suli, E.2
  • 13
    • 0040823840 scopus 로고
    • Notions sur les techniques d'éléments finis
    • Ellipses-Edition Marketing
    • J. C. NEDELEC, 1991, Notions sur les techniques d'éléments finis, Mathématiques et Applications, 1, Ellipses-Edition Marketing.
    • (1991) Mathématiques et Applications , vol.1
    • Nedelec, J.C.1
  • 14
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    • A mixed finite element method for second order elliptic problems
    • Mathematical Aspects of the Finite Element Methods (I. Galligani, E. Magenes, eds), Springer-Verlag, New-York
    • P. A. RAVIART, J. M. THOMAS, 1977, A. mixed finite element method for second order elliptic problems, Mathematical Aspects of the Finite Element Methods (I. Galligani, E. Magenes, eds), Lectures Notes in Math., 606, Springer-Verlag, New-York.
    • (1977) Lectures Notes in Math. , vol.606
    • Raviart, P.A.1    Thomas, J.M.2
  • 15
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • P. G. Ciarlet and J. L. Lions, eds., Finite Element Methods (Part 1), North-Holland, Amsterdam
    • J. E. ROBERTS, J. M. THOMAS, 1989, Mixed and hybrid methods, in Handbook of Numerical Analysis, (P. G. Ciarlet and J. L. Lions, eds.), Vol. II, Finite Element Methods (Part 1), North-Holland, Amsterdam.
    • (1989) Handbook of Numerical Analysis, , vol.2
    • Roberts, J.E.1    Thomas, J.M.2
  • 16
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    • On convergence of block-centered finite differences for elliptic problems
    • A. WEISER, M. F. WHEELER, 1988, On convergence of block-centered finite differences for elliptic problems, SIAM J. Numer. Anal., 25, pp. 351-375.
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    • Weiser, A.1    Wheeler, M.F.2


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