Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle

Philippe G. Ciarlet

Publications mathématiques et informatique de Rennes (1977)

  • Issue: S4, page 1-16

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Ciarlet, Philippe G.. "Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle." Publications mathématiques et informatique de Rennes (1977): 1-16. <http://eudml.org/doc/273804>.

@article{Ciarlet1977,
author = {Ciarlet, Philippe G.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S4},
pages = {1-16},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle},
url = {http://eudml.org/doc/273804},
year = {1977},
}

TY - JOUR
AU - Ciarlet, Philippe G.
TI - Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle
JO - Publications mathématiques et informatique de Rennes
PY - 1977
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 16
LA - eng
UR - http://eudml.org/doc/273804
ER -

References

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  1. [1] Bramble, J.H. ; Zlamal, M. : Triangular elements in the finite element method, Math. Comput.24 (1970), 809-820. Zbl0226.65073MR282540
  2. [2] Ciarlet, P.G. : Sur l'élément de Clough et Tocher, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge Anal. Numér. R-2 (1974), 19-27. Zbl0306.65070MR381349
  3. [3] Ciarlet, P.G. : Numerical Analysis of the Finite Element Method, Presses de l'Université de Montréal, Montréal, 1976. Zbl0363.65083MR495010
  4. [4] Ciarlet, P.G. : The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, to appear. Zbl0383.65058MR520174
  5. [5] Ciarlet, P.G. ; Raviart, P.-A. : General Lagrange and Hermite interpolation in Rn with applications to finite element methods, Arch. Rational Mech. Anal.46 (1972), 177-199. Zbl0243.41004MR336957
  6. [6] Clough, R.W. ; Tocher, J.L. : Finite element stiffness matrices for analysis of plates in bending, in Proceedings of the Conference on Matrix Methods in Structural Mechanics, Wright Patterson A.F.B., Ohio, 1965. 
  7. [7] Necas, J. : Les Méthodes Directes en Théorie des Equations Elliptiques, Masson, Paris, 1967. Zbl1225.35003
  8. [8] Percell, P. : On cubic and quartic Clough-Tocher finite elements, SIAM J. Numer. Anal.13 (1976), 100-103. Zbl0319.65064MR408198
  9. [9] Raviart, P.-A. : Méthode des Eléments Finis, Lecture Notes (D.E.A. Analyse Numérique), Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie (Paris VI ), 1972. 
  10. [10] Zenísek, A. : Interpolation polynomials on the triangle, Numer. Math.15 (1970), 283-296. Zbl0216.38901MR275014
  11. [11] Zenísek, A. : A general theorem on triangular finite C(m)-elements, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge Anal. Numér.R-2 (1974), 119-127. Zbl0321.41003MR388731
  12. [12] Zienkiewicz, O.C. : The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971. Zbl0237.73071MR315970
  13. [13] Zlámal, M. : On the finite element method, Numer. Math.12 (1968), 394-409. Zbl0176.16001MR243753

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