Error estimates for elasto-plastic problems

Richard S. Falk; Bertrand Mercier

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1977)

  • Volume: 11, Issue: 2, page 135-144
  • ISSN: 0764-583X

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Falk, Richard S., and Mercier, Bertrand. "Error estimates for elasto-plastic problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 11.2 (1977): 135-144. <http://eudml.org/doc/193292>.

@article{Falk1977,
author = {Falk, Richard S., Mercier, Bertrand},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {2},
pages = {135-144},
publisher = {Dunod},
title = {Error estimates for elasto-plastic problems},
url = {http://eudml.org/doc/193292},
volume = {11},
year = {1977},
}

TY - JOUR
AU - Falk, Richard S.
AU - Mercier, Bertrand
TI - Error estimates for elasto-plastic problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1977
PB - Dunod
VL - 11
IS - 2
SP - 135
EP - 144
LA - eng
UR - http://eudml.org/doc/193292
ER -

References

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  2. 2. H. BREZIS, Multiplicateur de Lagrange en torsion élasto-plastique, Arch. Rat. Mech. Anal., 2972, pp. 32-40. Zbl0265.35021MR346346
  3. 3. H. BREZIS, G. STAMPACCHIA, Sur la régularité de solutions d'inéquations elliptiques, Bull. Soc. Math. France, Vol. 96, 1968, 153-180. Zbl0165.45601MR239302
  4. 4. F. BREZZI, W. HAGER, P. A. RAVIART, Error estimates for variational inequalities, to appear. Zbl0427.65077
  5. 5. P. G. CIARLET, Numerical analysis of the finite element method, Cours d'été d'Analyse Numérique, 1975, Université de Montréal. Zbl0363.65083MR495010
  6. 6. P. G. CIARLET, The finite element method, North Holland (to appear). Zbl0383.65058MR520174
  7. 7. G. DUVAUT, J. L. LIONS, Les inéquations en Mécanique et en Physique, Dunod, Paris, 1972. Zbl0298.73001MR464857
  8. 8. R. S. FALK, Approximate solutions of some variational inequalities with order of convergence estimates, Ph. D. Thesis, Cornell University, Ithaca, N. Y., 1971. 
  9. 9. R. GLOWINSKI, Sur l'approximation d'une inéquation variationnelle elliptique de type Bingham, R.A.I.R.O., Analyse Numérique Vol. 10, 12 (1976) 13-30. MR520279
  10. 10. R. GLOWINSKI, J. L. LIONS, R. TREMOLIERES, Approximation des inéquations variationnelles, Dunod, Paris, 1976. Zbl0358.65091
  11. 11. C. JOHNSON, Existence theorems for plasticity problems, J. Math. Pures et Appliquées, 55 (1976) 431-444. Zbl0351.73049MR438867
  12. 12. C. JOHNSON, A hybrid finite element method for plasticity problems with hardening, to appear. Zbl0374.73039MR519017
  13. 13. O. A. LADYZENSKAYA, The mathematical theory of viscous incompressible flow, Gordon & Breach, New York, 1969. Zbl0184.52603MR254401
  14. 14. J. MANDEL, Cours de Mécanique des Milieux Continus, T. 2, Mécanique des Solides, Gauthier-Villars, Paris, 1966. Zbl0148.20305
  15. 15. B. MERCIER, Recherche numérique d'un champ de déplacements en élasto-plasticité, Rapport Laboria n° 71, Iria, 78150 Le Chesnay, France, 1974. 
  16. 16. B. MERCIER, Approximation par éléments finis, et résolution par un algorithme de pénalisation-dualité d'un problème d'élasto-plasticité, C. R. Acad. Sc. Paris, T. 280, Série A, 1975, pp. 287-290. Zbl0302.73044MR381471
  17. 17. B. MERCIER, Une méthode de résolution du problème des charges limites utilisant les fluides de Bingham, C. R. Acad. Sc. Paris, T. 281, Série A, 1975, pp. 525-527. Zbl0319.76009MR386457
  18. 18. R. T. ROCKAFELLAR, Convex analysis, Princeton, corollary 28-2-2, 1970, p. 279. Zbl0193.18401MR274683
  19. 29. M. J. STRAUSS, Variations of Korn's and Sobolev's inequalities, Proc. of Symposia in Pure Math., Vol. XXIII, A.M.S., Providence, R. I., 1973, pp. 207-214. Zbl0259.35008MR341064

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