Free Access
Issue
RAIRO. Anal. numér.
Volume 13, Number 4, 1979
Page(s) 369 - 387
DOI https://doi.org/10.1051/m2an/1979130403691
Published online 01 February 2017
  1. 1. F. BREZZI and P. A. RAVIART, Mixed Finite Element Methodsfor 4th Order Ellipticquations In Topics inNumerical Analysis, Vol.III, J. J. H. MILLER, Ed., Academic Press, 1978. [Zbl: 0434.65085]
  2. 2. P. G. CIARLET, Conforming and Nonconforming Finite Element Methods for SolvingthePlate ProblemIn Numerical Solution of Differential Equations, G. A.WATSON, Ed., Springer, 1974. [MR: 423832] [Zbl: 0285.65072]
  3. 3. P.G. CIARLET and P.A. RAVIART, A mixed Finite Element Method for the Biharmonic Equation In Mathematical Aspects of Finite Eléments in Partial Differential Equations, C. DEBOOR, Ed., Academic Press, 1974. [Zbl: 0337.65058]
  4. 4. P. LASCAUX and P. LESAINT, Some Nonconforming Finite Elements for the Plate Bending Problem, R.A.I.R.O., Anal. Nurnér., Vol. 1, 1975, pp. 9-53 [EuDML: 193267] [MR: 423968] [Zbl: 0319.73042]
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  7. 7. J. A.N NITSCHE, On Projection Methods for the Plate Problem In Numerical Analysis, J. DESCLOUX and J. MARTI, Ed., Birkhauser, 1977. [MR: 468521] [Zbl: 0361.65097]
  8. 8. R. RANNACHER, Punktweise Konvergenz der Methode der finiten Elemente beimPlattenproblem, Manuscripta math., Vol. 19, 1976, pp. 401-416. [EuDML: 154424] [MR: 423841] [Zbl: 0383.65061]
  9. 9. R. RANNACHER, Finite Element Approximation of Simply Supported Plates and the Babuska Paradox, Z. Angew. Math. Mech., Vol. 59, 1979, pp. T 73-T 76 [MR: 533989] [Zbl: 0421.73072]
  10. 10. R RANNACHER, Nonconforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory, Numer. Math., Vol. 32, 1979 (to appear). [EuDML: 132626] [MR: 545740] [Zbl: 0394.65035]
  11. 11. R. SCHOLZ, Approximation von Sattelpunkten mit finiten Elementen In Finite Elemente,Tagungsband, Bonn, Math. Schr., Vol. 89, 1976, pp. 53-66. [MR: 471377] [Zbl: 0359.65096]
  12. 12. R. SCHOLZ, A Mixed Methodfor 4th Order Problems using Linear Finite Eléments, R.A.I.R.O., Anal. Numer., Vol. 12, 1978, pp. 85-90. [EuDML: 193314] [MR: 483557] [Zbl: 0382.65059]
  13. 13. J. FREHSE and R. RANNACHER, Eine $L^1$-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente In Finite Elemente,Tagungsband, Bonn, Math.Schr., Vol. 89, 1976, pp. 92-114. [MR: 471370] [Zbl: 0359.65093]
  14. 14. J. A. NITSCHE, $L_\infty $-convergence of finite element approximations, Second Conference on Finite Eléments, Rennes, 1975. [MR: 568857] [Zbl: 0362.65088]
  15. 15. R. SCOTT Optimal $L^\infty $ estimates for the finite element method on irregular meshes, Math. Comp., Vol. 30, 1976, pp. 681-697. [MR: 436617] [Zbl: 0349.65060]
  16. 16. R. B. KELLOGG and J. E. OSBORN, A Regularity Resuit for the Stokes Problem in aConvex Poligon. J. Funet. Anal., Vol. 21, 1976, pp.397-431. [MR: 404849] [Zbl: 0317.35037]

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