Free Access
R.A.I.R.O. Analyse Numérique
Volume 9, Number R1, 1975
Page(s) 9 - 53
Published online 01 February 2017
  1. [l] ADINI A . - CLOUGH R.W. Analysis of plate bending by the finite element method. NSF Report G. 7337, 1961.
  2. AUBIN J.P. Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkiris and finite difference methods. Ann. Scuola Norm. Sup. Pisa 21, 599-637, 1967. [EuDML: 83439] [MR: 233068] [Zbl: 0276.65052]
  3. BAZELEY G.P. - CHEUNG Y.K - IRONS B.M. - ZIENKIEWICZ O.C. Triangular elements in bending-conforming and nonconforming solutions. Proceedings Conference on Matrix Methods in Structural Mechanics, Wright Patterson A.F.B. Ohio, 1965.
  4. CIARLET P.G. Conforming and Nonconforming finite element methods for solving the plate problem. Proceedings Conference on the Numerical Solution of Differential Equations, University of Dundee, July 03-06, 1973. [MR: 423832] [Zbl: 0285.65072]
  5. CIARLET P.G. Quelques méthodes d'éléments finis pour le problème d'une plaque encastrée. Colloques IRIA, Méthodes de Calcul Scientifique et Technique, 66-86, Rocquencourt, 1973. [Zbl: 0285.65042]
  6. CIARLET P.G. - RAVIART P.A. General Lagrange and Hermite interpolation in $R^n$ with applications to finite element methods. Arch. Rational Mech. Anal. 46, 177-199, 1972. [MR: 336957] [Zbl: 0243.41004]
  7. CIARLET P.G - RAVIART P.A. Error bounds for finite elements "with normal derivatives" (to appear).
  8. CROUZEIX M. - RAVIART P.A. Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I (to appear). [MR: 343661] [Zbl: 0302.65087]
  9. FRAEIJS DE VEUBEKE B. Variational Principles and the Patch Test. (to appear). [Zbl: 0284.73043]
  10. IRONS B.M. - RAZZAQUE A. Expérience with the patch test for convergence of finite elements. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A.K. Aziz, Editor), 557-587 - Academic Press, New York, 1972. [MR: 423839] [Zbl: 0279.65087]
  11. JOHNSON C On the convergence of a mixed finite element method for plate bending problems Numer Math 21, 43-62, 1973 [EuDML: 132212] [MR: 388807] [Zbl: 0264.65070]
  12. KONDRATEV VA Boundary value problems for elliptic equations with conical or angular points Trans Moscow Math Soc ,227-313, 1967 [Zbl: 0194.13405]
  13. LANDAU L - LIFCHITZ E Theory of Elasticity Pergamon Press 1970
  14. LIONS JL - MAGENES E Problèmes aux limites non-homogènes Dunod, 1968
  15. MORLEY L S D The triangular equilibrium element in the solution of plate bending problems Aero-Quart 19, 149-169, 1968
  16. MlYOSHY T Convergence of finite element solutions represented by a non-conforming basis Kumamoto J Sci Math 9, 11-20, 1972 [MR: 309411] [Zbl: 0236.65071]
  17. NITSCHE J Convergence of non conforming elements Symposium on Mathematical Aspects of Finite Elements in Partial Differential Equations, Madison, Wisconsin, April 1-3, 1974 [Zbl: 0324.00023]
  18. NlTSCHE J Ein Kriterium für die Quasi-optimalitat des Ritzschen Verfahrens Numer Math. 13, 260-265, 1969. [EuDML: 131833] [Zbl: 0175.45801]
  19. STRANG G Variational Crimes in the finite element method The mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A K Aziz, Editor), 689-710, Academic Press, New York, 1972 [MR: 413554] [Zbl: 0264.65068]
  20. STRANG G - FIX G An analysis of the Finite Element Method Prentice Hall, Englewood Cliffs, 1973 [MR: 443377] [Zbl: 0356.65096]
  21. ZIENKIEWICZ OC The Finite Element Method in Engineering Science Mac Graw-Hill, London, 1971 [MR: 315970] [Zbl: 0237.73071]

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