Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 13 (1979) no. 4, p. 355-367
@article{M2AN_1979__13_4_355_0,
     author = {Quarteroni, Alfio},
     title = {Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {13},
     number = {4},
     year = {1979},
     pages = {355-367},
     zbl = {0447.65066},
     mrnumber = {555384},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1979__13_4_355_0}
}
Quarteroni, Alfio. Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 13 (1979) no. 4, pp. 355-367. http://www.numdam.org/item/M2AN_1979__13_4_355_0/

1. F. Brezzi, Hybrid Methods for Fourth Order Elliptic Equations, Congress on Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, No. 606, 1977, pp. 35-46. | MR 657976 | Zbl 0396.65066

2. F. Brezzi, On the Existence, Uniqueness and Approximation of Saddle Point Problems Arising from Lagrangian Multipliers, R.A.I.R.O., Vol. 8-R2, 1974, pp. 129-151. | Numdam | MR 365287 | Zbl 0338.90047

3. F. Brezzi et L. D. Marini, On the Numerical Solution of Plate Bending Problems b Hybrid Methods, R.A.LR.O., Vol.9-R3, 1975, pp. 5-50. | Numdam | Zbl 0322.73048

4. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, 1978, North Holland, Amsterdam. | MR 520174 | Zbl 0383.65058

5. P. Grisvard, Singularités des solutions du problème de Stokes dans un polygone (to appear).

6. V. A. Kondrat'Ev, Boundary Problemsfor Elliptic Equations in Domain with Conical or Angular Points, Amer. Math. Soc, Providence, R.I., 1968, pp. 227-341. | Zbl 0194.13405

7. J.-L. Lions et E. Magenes, Non Homogeneous Boundary Value Problems and Applications, Vol. I-II, 1970, Grund.B, pp. 181-182, Springer Berlin. | MR 350177 | Zbl 0227.35001

8. L. D. Marini, Implementation of Hybrid Finite Element Methods and Associated Numerical Problems, Part. I, Publ. 136, L.A.N.-C.N.R., Pavia. | Zbl 0353.65061

9. L. D. Marini, Implementation of Hybrid Finite Element Methods and Associated Numerical Problems, Part II, to appear on PubL L.A.N.-C.N.R., Pavia. | Zbl 0443.65086

10. T. H. Pian et P. Tong, A Variational Principle and the Convergence of a Finite Element Method Based on the Assumed Stress Distribution, Int. J. Solid and Struct., Vol. 5, 1969, pp. 463-472. | Zbl 0167.52805

11. A. Quarteroni, Hybrid Finite Element Methods for the von Karman Equations, to appear on Calcolo. | MR 569238 | Zbl 0443.73035