On the Convergence of Wilson's Non-Conforming Element for Solving the Elastic Problem
Publications des séminaires de mathématiques et informatique de Rennes, no. S3 (1975), article no. 3, 22 p.
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     author = {Lesaint, Pierre},
     title = {On the {Convergence} of {Wilson's} {Non-Conforming} {Element} for {Solving} the {Elastic} {Problem}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {3},
     pages = {1--22},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S3},
     year = {1975},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1975___S3_A3_0/}
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Lesaint, Pierre. On the Convergence of Wilson's Non-Conforming Element for Solving the Elastic Problem. Publications des séminaires de mathématiques et informatique de Rennes, no. S3 (1975), article  no. 3, 22 p. http://www.numdam.org/item/PSMIR_1975___S3_A3_0/

/1/ Ciarlet, P.G. : Conforming and non-conforming finite element: methods for solving the plate problem, Conference on the Numerìcal Solution of Differentiel Equation, University of Dundee, July 03-06, 1973. | MR | Zbl

/2/ Ciarlet, P.G. ; Raviart, P.-A. : La Méthode des éléments finis pour les problèmes sur limite elliptique. (To appear).

/3/ Lascaux, P. ; Lesaint, P. : Some Non-conforming Finite Elements for the Plate Bending Problem, To appear in R.A.I.R.O. | Numdam | Zbl

/4/ Nitshe, J. : Convergence of Non-conforming Elements. Paper presented at the Symposium on Nathamatical Aspects of Finite Elements in Partial Differential Equations. Madisoff, Wisconsin, April 1-3, 1974,

/5/ Argyris, J.H. ; Fried, I. ; Scarpf, D.E. : The TUBA family of plate elements for the matrix displacement method, the Aeronautical J.R. Ac. S. 72 (1968), 701-709.

/6/ Iron, 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), pp. 557-587, Academic Press, New York, 1972. | MR | Zbl

/7/ 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) pp. 689-710, Academic Press, New York, 1972. | MR | Zbl

/8/ Wilson, E.L. ; Taylor, R.L. ; Doherty W.P. ; Ghaboussi J. : Incompatible Displacament Models. Symposium on Numerical and Computer Methods in Structural Engincering, O.N.R. University of Illinois, 1971.

/9/ Necas, J. : Les Méthodes Directes en Théorie des Equations Elliptique, Masson, Paris, 1967. | Zbl

/10/ Landau, L. ; Lifchitz, E. : Théorie de l'Elasticité, Mir, Moscou, 1967. | Zbl

/11/ Zienkidncz, O.C. : The Finite Element Method in Engincering Science. Mc Grawhill, London, 1971

/12/ Strang, G. ; Fix, G. : An analysis of Finite Element Method, Prentice-Hall, Englewead Cliffs, 1973. | MR | Zbl

/13/ Ciarlet, P.G. ; Raviart. P.-A. : General Lagrange and Hermite interpolation in Rn with applications to finite element methods, Arch. Rational Mech. Anal. 46 (1972), 177-192. | MR | Zbl

/14/ 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. Scuola Norm. Sup. Pisa 21 (1967), 599-637, | Numdam | MR | Zbl

/15/ Nitsche, J. : Ein Kriterium für die quasi-optimalität des Ritzchen Verfahrens, Numer. Math. 11 (1968), 346-348. | MR | Zbl

/16/ Bramble, J.H. ; Hilbert, S.H. : Bounds for a class of linear functionals with applications to Hermite interpolation, Numer. Math. 16 (1971), 362-369. | MR | Zbl