Nouvelle procédure d'estimation d'erreur relative à la méthode des éléments finis et applications

 Access to full text

 Full (PDF)

1. [1] Ciarlet P.G. et Raviart P.A. "General Lagrange and Hermite interpolation in Rn with applications to finite element method" ARMA 4.6. (1972) Zbl0243.41004MR336957
2. [2] Ciarlet P.G. et Raviart P.A. "A mixed finite element method for the biharmonic equation" : Mathematical aspects of finite element in Partial Differential Equations, pp. 125-145. Academic press, New York, 1974 Zbl0337.65058MR657977
3. [3] Pian Th.H. et Tong P. "Basis of finite element methods for solid continua" Int. J. Num. Meth. in Eng., vol 1, n°1 (pp. 3-28), 1969 Zbl0252.73052
4. [4] Oden J.T. et Reddy J.N. "An introduction to the mathematical theory of finite elements" Wiley interscience, New York Zbl0336.35001MR461950
5. [5] Babuska I. et Azig A.K. "Survey lectures on the mathematical theory of finite elements" "The mathematical foundations of the finite elements method with applications to differential equations" Edited by AK A212, Academic press, N.Y. (pp. 3-395), 1972 Zbl0268.65052
6. [6] Strang G. et Fix G. "An analysis of the finite element method" Prentice Hall, 1972 Zbl0356.65096MR443377
7. [7] Aubin J.P. "Approximation of elliptic boundary-value problems" Wiley. Interscience, New York, 1972 Zbl0248.65063MR478662
8. [8] Fraejs de Veubeke B. "Displacement and equilibrium models in the finite element method. Chapitre 9. Stesss Analysis Ed. Zienkiewiecz O.C. (John Wiley, 1965) Zbl1065.74625
9. [9] Sander G. "Application of the dual analysis principles" Paper presented at the I.U.T.A.M. Colloquium on "High speed Computing of elastic structures" Liège, 23-28 août, 1970 
10. [10] Ladeveze P. "Comparaison de modèles de milieux continus" Thèse Paris VI , 1975 
11. [11] Ladeveze P. "New error estimates procedure in finite element methods and applications" (à paraître) Zbl0582.65078
12. [12] Destuynder P. - Ladeveze P. "Utilisation d'un principe hybride-primal pour obtenir une estimation explicite de l'erreur en éléments finis" (à paraître) 
13. [13] Payne L.E. "Isoperimetric inequalities and their applications" S.I.A.M. Review vol 9, n°3, 1967, pp. 453-488 Zbl0154.12602MR218975
14. [14] Ladeveze J. - Ladeveze P." "Estimations des constantes de Poincaré et de Steklov pour les problèmes de Neumann" (à paraître)