@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://www.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://www.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://www.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, no. S4 (1974), article no. 6, 58 p. http://www.numdam.org/item/PSMIR_1974___S4_A6_0/
/1/Analysis of plate bending by the finite element method - NSF Report G. 7337, 1961.
; -/2/ 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/ Triangular elements in bending-conforming and nonconforming solutions. Proceedings Conference on Matrix Methods in Structural Mechanics, Wright Patterson A.K.B., Ohio, 1965
; ; ;/4/ 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/ 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/ General Lagrange and Hermite interpolation In with applications to finite element methods. Arch. Rational Mech. Anal. 46, 177-199, 1972. | MR | Zbl
; -/7/ Error bounds for finite elements "with normal derivatives" (to appear).
; -/8/ Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I (to appear). | Numdam | MR | Zbl
; -/9/ Variational .Principles and the Patch Test (to appear). | Zbl
-/10/ 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/ On the convergence of a mixed finite element method for plate bending problems. Numer Math 21, 43-62, 1973. | MR | Zbl
-/12/ Boundary value problems for elliptic equations with conical or angular points. Trans. Moscow Math. Soc., 227-313, 1967. | Zbl
-/13/ Theory of Elasticity - Pergamon Press 1970.
; -/14/ Problèmes aux limites non-homogènes - Dunod, 1968. | Zbl
; -/15/ The triangular equilibrium element in the solution of plate bending problems, Aero-Quart. 19, 149-169, 1968.
-/16/ Convergence of finite clement solutions represented by a non-conforming basis, Kumamoto J. Sci. Math. 9, 11-20, 1972. | MR | Zbl
-/17/ Convergence of non conforming elements. Symposium on Mathematical Aspects of Finite Elements in Partial Differential Equations, Madison, Wisconsin, April 1-3, 1974.
-/18/ Ein Kriterium fur die Quasi-optimalitat des Ritzschen Verfahrens. Numer. Math. 13, 260-265, 1969. | MR | Zbl
-/19/ 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/ An analysis of the Finite Element Method, Prentice Hall, Englewood Cliffs, 1973. | MR | Zbl
; -/21/ The finite Element Method in Engineering Science, Mac Graw-Hill, London, 1971. | MR | Zbl
-/22/ Some non conforming finite elements for the plate bending problem. To appear in R.A.I.R.O. | Numdam | MR | Zbl
et -