Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations

Alfio Quarteroni

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1979)

  • Volume: 13, Issue: 4, page 355-367
  • ISSN: 0764-583X

How to cite

top

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 13.4 (1979): 355-367. <http://eudml.org/doc/193347>.

@article{Quarteroni1979,
author = {Quarteroni, Alfio},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {energy norm; finite element method; assumed stresses hybrid methods; duality technique; rate of convergence},
language = {eng},
number = {4},
pages = {355-367},
publisher = {Dunod},
title = {Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations},
url = {http://eudml.org/doc/193347},
volume = {13},
year = {1979},
}

TY - JOUR
AU - Quarteroni, Alfio
TI - Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1979
PB - Dunod
VL - 13
IS - 4
SP - 355
EP - 367
LA - eng
KW - energy norm; finite element method; assumed stresses hybrid methods; duality technique; rate of convergence
UR - http://eudml.org/doc/193347
ER -

References

top
  1. 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. Zbl0396.65066MR657976
  2. 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. Zbl0338.90047MR365287
  3. 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. Zbl0322.73048
  4. 4. P. G. CIARLET, The Finite Element Method for Elliptic Problems, 1978, North Holland, Amsterdam. Zbl0383.65058MR520174
  5. 5. P. GRISVARD, Singularités des solutions du problème de Stokes dans un polygone (to appear). 
  6. 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. Zbl0194.13405
  7. 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. Zbl0227.35001MR350177
  8. 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. Zbl0353.65061
  9. 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. Zbl0443.65086
  10. 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. Zbl0167.52805
  11. 11. A. QUARTERONI, Hybrid Finite Element Methods for the von Karman Equations, to appear on Calcolo. Zbl0443.73035MR569238

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.