Error estimates for the approximation of some unilateral problems
Scarpini, Francesco ; Vivaldi, Maria Agostina
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 11 (1977), p. 197-208 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1977-01-01
@article{M2AN_1977__11_2_197_0,
     author = {Scarpini, Francesco and Vivaldi, Maria Agostina},
     title = {Error estimates for the approximation of some unilateral problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {11},
     year = {1977},
     pages = {197-208},
     mrnumber = {488860},
     zbl = {0358.65087},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1977__11_2_197_0}
}

Scarpini, Francesco; Vivaldi, Maria Agostina. Error estimates for the approximation of some unilateral problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 11 (1977) pp. 197-208. http://gdmltest.u-ga.fr/item/M2AN_1977__11_2_197_0/

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. | MR 403258 | Zbl 0266.73050

2. J. H. Bramble, M. Zlamal, Triangular elements in the finite element method, Math.Comp., Vol. 24, 1970, pp. 809-820. | MR 282540 | Zbl 0226.65073

3. H. Brezis, Problèmes unilatéraux, (Thèse), J. Math. Pures AppL, 1972. | MR 428137 | Zbl 0237.35001

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. 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. R. W. Cottle, Complementarity and variational problems, Tecn. Rep. 74-6 StanfordUniv. California.

7. R. W. Cottle, Computational experience with large-scale linear complementarity problems, Tecn. Rep. 7-13 Stanford Univ. California.

8. G. Duvaut, J. L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972. | MR 464857 | Zbl 0298.73001

9. R. S. Falk, Error estimates for the Approximation of a class of Variational Inequalities, Math, of Comp., Vol. 28, 1974, pp. 963-971. | MR 391502 | Zbl 0297.65061

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. | MR 142565 | Zbl 0131.24806

11.R. Glowinski, J. L. Lions, R. Tremolieres, Book in print on the numerical analysis of the variational inequalities. Dunod, Paris.

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. | Zbl 0359.35001

13. J. L. Lions, G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math.,Vol. 20, 1967, pp. 493-519. | MR 216344 | Zbl 0152.34601

14. J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969. | MR 259693 | Zbl 0189.40603

15. J. L. Lions, E. Magenes, Non-homogeneous boundary value problems and applications, I, II, III Springer., Berlin, 1972. | Zbl 0227.35001

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, | Zbl 0266.49005

17. U. Mosco, F. Scarpini, Complementarity Systems and approximation of variational inequalities, R.A.I.R.O. R.l 1975, pp. 83-104. | Numdam | MR 468153 | Zbl 0338.49016

18. U. Mosco, G. Strang, One sided approximation and variational inequalities, Bull. A.M.S., Vol. 80, 1974, pp. 308-312. | MR 331818 | Zbl 0278.35026

19. U. Mosco, G. Troianiello, On the smoothness of solutions of unilateral Dirichlet problems, Boll. U.M.I., Vol. 8, 1973, pp. 56-67. | MR 390479 | Zbl 0277.35033

20. J. Necas, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967 . | MR 227584

21. R. S. Sacher, On the solution of large, structured linear complementarity problems: II, Teen. Rep. 73-5 Stanford Univ. California.

22. F. Scarpini, Some algorithms solving the unilatéral Dirichlet problem with two constraints. Calcolo, Vol. 12, 1975, pp. 113-149. | MR 426458 | Zbl 0334.49004

23. G. Stampacchia, Variational inequalities, Theory and applications of monotone operators (Ghizzetti, A. ed.) Proceed. of NATO Advanced Study. Venice, 1968. | MR 425699 | Zbl 0247.47050

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. | Zbl 0259.35020

25. G. Strang, Approximation in the finite element method, Numer. Math., Vol. 19, 1972, pp. 81-98. | MR 305547 | Zbl 0221.65174

26. G. Strang, G. J. Fix, An analysis of the finite element method, Prentice-Hall, 1973. | MR 443377 | Zbl 0356.65096

27. F. Treves, Topological vector spaces, distributions and kernels, Academic Press. New-York, 1967 . | MR 225131 | Zbl 0171.10402

28. M. M. Vainberg, Variational methods for the study of nonlinear operators, Holden-Day, San Francisco, 1964. | MR 176364 | Zbl 0122.35501

29. M. Zlamal, Curved elements in the finite element method I, SIAM J. Numer. Anal. 10, 1973, 229-240 | MR 395263 | Zbl 0285.65067

30. M. Zlamal, Curved elements in the finite element method II, SIAM J. Numer.Anal. 11, 1974,347-362. | MR 343660 | Zbl 0277.65064