@article{M2AN_1975__9_1_9_0, author = {Lascaux, P. and Lesaint, P.}, title = {Some nonconforming finite elements for the plate bending problem}, journal = {Revue fran\c{c}aise d'automatique, informatique, recherche op\'erationnelle. Analyse num\'erique}, pages = {9--53}, publisher = {Dunod}, address = {Paris}, volume = {9}, number = {R1}, year = {1975}, mrnumber = {423968}, zbl = {0319.73042}, language = {en}, url = {http://www.numdam.org/item/M2AN_1975__9_1_9_0/} }
TY - JOUR AU - Lascaux, P. AU - Lesaint, P. TI - Some nonconforming finite elements for the plate bending problem JO - Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique PY - 1975 SP - 9 EP - 53 VL - 9 IS - R1 PB - Dunod PP - Paris UR - http://www.numdam.org/item/M2AN_1975__9_1_9_0/ LA - en ID - M2AN_1975__9_1_9_0 ER -
%0 Journal Article %A Lascaux, P. %A Lesaint, P. %T Some nonconforming finite elements for the plate bending problem %J Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique %D 1975 %P 9-53 %V 9 %N R1 %I Dunod %C Paris %U http://www.numdam.org/item/M2AN_1975__9_1_9_0/ %G en %F M2AN_1975__9_1_9_0
Lascaux, P.; Lesaint, P. Some nonconforming finite elements for the plate bending problem. Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, Tome 9 (1975) no. R1, pp. 9-53. http://www.numdam.org/item/M2AN_1975__9_1_9_0/
[l] 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 Galerkiris and finite difference methods. Ann. Scuola Norm. Sup. Pisa 21, 599-637, 1967. | Numdam | MR | Zbl
[3] Triangular elements in bending-conforming and nonconforming solutions. Proceedings Conference on Matrix Methods in Structural Mechanics, Wright Patterson A.F.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] 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 | 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
-[15] The triangular equilibrium element in the solution of plate bending problems Aero-Quart 19, 149-169, 1968
[16] Convergence of finite element 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 | Zbl
[18] Ein Kriterium für die Quasi-optimalitat des Ritzschen Verfahrens Numer Math. 13, 260-265, 1969. | Zbl
[19] 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 | 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