Sur une méthode d'éléments finis mixte pour l'équation biharmonique

S. Kesavan; M. Vanninathan

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1977)

  • Volume: 11, Issue: 3, page 255-270
  • ISSN: 0764-583X

How to cite

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Kesavan, S., and Vanninathan, M.. "Sur une méthode d'éléments finis mixte pour l'équation biharmonique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 11.3 (1977): 255-270. <http://eudml.org/doc/193301>.

@article{Kesavan1977,
author = {Kesavan, S., Vanninathan, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {fre},
number = {3},
pages = {255-270},
publisher = {Dunod},
title = {Sur une méthode d'éléments finis mixte pour l'équation biharmonique},
url = {http://eudml.org/doc/193301},
volume = {11},
year = {1977},
}

TY - JOUR
AU - Kesavan, S.
AU - Vanninathan, M.
TI - Sur une méthode d'éléments finis mixte pour l'équation biharmonique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1977
PB - Dunod
VL - 11
IS - 3
SP - 255
EP - 270
LA - fre
UR - http://eudml.org/doc/193301
ER -

References

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  1. 1. J. F. BOURGAT, Numerical study of a dual iterative method for solving a finite element approximation of the biharmonic equation, Computer Methods in Apliey Mechanics and Engineering, 9, 1976, p. 203-218. Zbl0335.65052MR431743
  2. 2. F. BREZZI and P. A. RAVIART, Mixed finite element methods for 4th order elliptic equations, École Polytechnique, Rapport Interne No 9, mai 1976. Zbl0434.65085MR657975
  3. 3. P. G. CIARLET, Numerical Analysis of the Finite Element Method, Séminaires de Mathématiques Supérieures, Presses de l'Université de Montréal, 1975. Zbl0363.65083MR495010
  4. 4. P. G. CIARLET and R. GLOWINSKI, Dual iterative techniques for solving a finite element approximation of the biharmonic equation, Computer Methods in Applied Mechanics and Engineering, 5, 1975, p. 277-295. Zbl0305.65068MR373321
  5. 5. P. G. CIARLET, P. A. RAVIART, Interpolation theory over curved elements with applications to finite element methods, Computer Methods in Applied Mechanics and Engineering, 1, 1972, p. 217-249. Zbl0261.65079MR375801
  6. 6. P. G. CIARLET, P. A. RAVIART, The combined effect of curved boundaries and numerical integration in isoparametric finite element methods, 409-474, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Ey. A. K. Aziz., Acayemic Press, 1972. Zbl0262.65070MR421108
  7. 7. P. G. CIARLET, P. A. RAVIART, A mixed finite element method for the biharmonic equation, 125-145, Mathematical Aspects of Finite Elements in Partial Differential Equations, Academic Press, 1974. Zbl0337.65058MR657977
  8. 8. J. NE_AS, Les Méthodes Directes en Théorie des Équations Elliptiques, Masson, Paris, 1967. 

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