Error estimates for the approximation of some unilateral problems

Francesco Scarpini; Maria Agostina Vivaldi

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

  • Volume: 11, Issue: 2, page 197-208
  • ISSN: 0764-583X

How to cite

top

Scarpini, Francesco, and Vivaldi, Maria Agostina. "Error estimates for the approximation of some unilateral problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 11.2 (1977): 197-208. <http://eudml.org/doc/193296>.

@article{Scarpini1977,
author = {Scarpini, Francesco, Vivaldi, Maria Agostina},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {2},
pages = {197-208},
publisher = {Dunod},
title = {Error estimates for the approximation of some unilateral problems},
url = {http://eudml.org/doc/193296},
volume = {11},
year = {1977},
}

TY - JOUR
AU - Scarpini, Francesco
AU - Vivaldi, Maria Agostina
TI - Error estimates for the approximation of some unilateral problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1977
PB - Dunod
VL - 11
IS - 2
SP - 197
EP - 208
LA - eng
UR - http://eudml.org/doc/193296
ER -

References

top
  1. 1. A. BERGER, R. SCOTT, G. STRANG, Approximate boundary conditions in the finite element method, Symposium on Numer. Anal. I.N.A.M. Roma. Symposia Mathematica Academic Press, 1973. Zbl0266.73050MR403258
  2. 2. J. H. BRAMBLE, M. ZLAMAL, Triangular elements in the finite element method, Math.Comp., Vol. 24, 1970, pp. 809-820. Zbl0226.65073MR282540
  3. 3. H. BREZIS, Problèmes unilatéraux, (Thèse), J. Math. Pures AppL, 1972. Zbl0237.35001MR428137
  4. 4. R. W. COTTLE, R. S. SACHER, On the solution of large, structured linear complementarity problems : I, Tecn. Rep. 73-4 Stanford Univ. California. 
  5. 5. R. W. COTTLE, G. H. GOLUB, R. S. SACHER, On the solution of large, structured linear complementarity problems: III, Tecn. Rep. 74-7 Stanford Univ. California. 
  6. 6. R. W. COTTLE, Complementarity and variational problems, Tecn. Rep. 74-6 StanfordUniv. California. 
  7. 7. R. W. COTTLE, Computational experience with large-scale linear complementarity problems, Tecn. Rep. 7-13 Stanford Univ. California. 
  8. 8. G. DUVAUT, J. L. LIONS, Les inéquations en mécanique et en physique, Dunod, Paris, 1972. Zbl0298.73001MR464857
  9. 9. R. S. FALK, Error estimates for the Approximation of a class of Variational Inequalities, Math, of Comp., Vol. 28, 1974, pp. 963-971. Zbl0297.65061MR391502
  10. 10. M. FIEDLER, V. PTAK, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J., Vol. 12, 1962, pp. 382-400. Zbl0131.24806MR142565
  11. 11. R. GLOWINSKI, J. L. LIONS, R. TREMOLIERES, Book in print on the numerical analysis of the variational inequalities. Dunod, Paris. Zbl0508.65029
  12. 12. C. LEVATI, F. SCARPINI, G. VOLPI, Sul trattamento numerico di alcuni problemi variazionali di tipo unilaterale, L.A.N, del C.N.R., Vol. 82, 1974. Zbl0359.35001
  13. 13. J. L. LIONS, G. STAMPACCHIA, Variational inequalities, Comm. Pure Appl. Math.,Vol. 20, 1967, pp. 493-519. Zbl0152.34601MR216344
  14. 14. J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. Zbl0189.40603MR259693
  15. 15. J. L. LIONS, E. MAGENES, Non-homogeneous boundary value problems and applications, I, II, III Springer., Berlin, 1972. Zbl0227.35001
  16. 16. U. Mosco, An introduction to the approximate solution of variational inequalities, Constructive Aspects of functional Analysis. Corso C.I.M.E. 1971 Cremonese Roma, 1973, Zbl0266.49005
  17. 17. U. Mosco, F. SCARPINI, Complementarity Systems and approximation of variational inequalities, R.A.I.R.O. R.l 1975, pp. 83-104. Zbl0338.49016MR468153
  18. 18. U. Mosco, G. STRANG, One sided approximation and variational inequalities, Bull. A.M.S., Vol. 80, 1974, pp. 308-312. Zbl0278.35026MR331818
  19. 19. U. Mosco, G. TROIANIELLO, On the smoothness of solutions of unilateral Dirichlet problems, Boll. U.M.I., Vol. 8, 1973, pp. 56-67. Zbl0277.35033MR390479
  20. 20. J. NECAS, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967 . MR227584
  21. 21. R. S. SACHER, On the solution of large, structured linear complementarity problems: II, Teen. Rep. 73-5 Stanford Univ. California. 
  22. 22. F. SCARPINI, Some algorithms solving the unilatéral Dirichlet problem with two constraints. Calcolo, Vol. 12, 1975, pp. 113-149. Zbl0334.49004MR426458
  23. 23. G. STAMPACCHIA, Variational inequalities, Theory and applications of monotone operators (Ghizzetti, A. ed.) Proceed. of NATO Advanced Study. Venice, 1968. Zbl0247.47050MR425699
  24. 24. G. STRANG, A. E. BERGER, The change in solution due to change in domain, Proc. A.M.S. Symposium on partial differential equations. Berkeley, 1971. Zbl0259.35020
  25. 25. G. STRANG, Approximation in the finite element method, Numer. Math., Vol. 19, 1972, pp. 81-98. Zbl0221.65174MR305547
  26. 26. G. STRANG, G. J. FIX, An analysis of the finite element method, Prentice-Hall, 1973. Zbl0356.65096MR443377
  27. 27. F. TREVES, Topological vector spaces, distributions and kernels, Academic Press. New-York, 1967 . Zbl0171.10402MR225131
  28. 28. M. M. VAINBERG, Variational methods for the study of nonlinear operators, Holden-Day, San Francisco, 1964. Zbl0122.35501MR176364
  29. 29. M. ZLAMAL, Curved elements in the finite element method I, SIAM J. Numer. Anal. 10, 1973, 229-240 Zbl0285.65067MR395263
  30. 30. M. ZLAMAL, Curved elements in the finite element method II, SIAM J. Numer.Anal. 11, 1974,347-362. Zbl0277.65064MR343660

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.