Éléments finis non-conformes pour le problème de la flexion des plaques minces
Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1974), article no. 6, 58 p. 
@article{PSMIR_1974___S4_A6_0,
     author = {Lascaux, P. and Lesaint, P.},
     title = {\'El\'ements finis non-conformes pour le probl\`eme de la flexion des plaques minces},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {6},
     pages = {1--58},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1974},
     language = {fr},
     url = {http://archive.numdam.org/item/PSMIR_1974___S4_A6_0/}
}
TY  - JOUR
AU  - Lascaux, P.
AU  - Lesaint, P.
TI  - Éléments finis non-conformes pour le problème de la flexion des plaques minces
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1974
SP  - 1
EP  - 58
IS  - S4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://archive.numdam.org/item/PSMIR_1974___S4_A6_0/
LA  - fr
ID  - PSMIR_1974___S4_A6_0
ER  - 
%0 Journal Article
%A Lascaux, P.
%A Lesaint, P.
%T Éléments finis non-conformes pour le problème de la flexion des plaques minces
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1974
%P 1-58
%N S4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://archive.numdam.org/item/PSMIR_1974___S4_A6_0/
%G fr
%F PSMIR_1974___S4_A6_0
Lascaux, P.; Lesaint, P. Éléments finis non-conformes pour le problème de la flexion des plaques minces. Publications des séminaires de mathématiques et informatique de Rennes, Journées éléments finis, no. S4 (1974), article  no. 6, 58 p. http://archive.numdam.org/item/PSMIR_1974___S4_A6_0/

/1/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 Galerkin's and finite difference methods. Ann. Scuole Norr, Sup. Pisa 21 , 599-637, 1967 | Numdam | Zbl

/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.K.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 | Zbl

/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

/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 | Zbl

/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). | Numdam | MR | Zbl

/9/ Fraeijs De Veubeke B. - Variational .Principles and the Patch Test (to appear). | Zbl

/10/ Irons B.M. ; Razzaque A. - Experience 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 | Zbl

/11/ Johnson C. - On the convergence of a mixed finite element method for plate bending problems. Numer Math 21, 43-62, 1973. | MR | Zbl

/12/ Kondratev V.A. - Boundary value problems for elliptic equations with conical or angular points. Trans. Moscow Math. Soc., 227-313, 1967. | Zbl

/13/ Landau L. ; Lifchitz E. - Theory of Elasticity - Pergamon Press 1970.

/14/ Lions J.L. ; Magenes E. - Problèmes aux limites non-homogènes - Dunod, 1968. | Zbl

/15/ Morley L.S.D. - The triangular equilibrium element in the solution of plate bending problems, Aero-Quart. 19, 149-169, 1968.

/16/ Minoshi T. - Convergence of finite clement solutions represented by a non-conforming basis, Kumamoto J. Sci. Math. 9, 11-20, 1972. | MR | Zbl

/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.

/18/ Nitsche J. - Ein Kriterium fur die Quasi-optimalitat des Ritzschen Verfahrens. Numer. Math. 13, 260-265, 1969. | MR | Zbl

/19/ Strang G. - Variational Crimes in the finite element method. The Matematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A.K. Aziz, Editor), 689-710, Academic Press, New York, 1972. | MR | Zbl

/20/ Strang G. ; Fix G. - An analysis of the Finite Element Method, Prentice Hall, Englewood Cliffs, 1973. | MR | Zbl

/21/ Zienkiewicz O.C. - The finite Element Method in Engineering Science, Mac Graw-Hill, London, 1971. | MR | Zbl

/22/ Lascaux P. et Lesaint P. - Some non conforming finite elements for the plate bending problem. To appear in R.A.I.R.O. | Numdam | MR | Zbl