Berger, Alan E.
The truncation method for the solution of a class of variational inequalities
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 10 (1976) no. R1 , p. 29-42
Zbl 0334.49012 | MR 455489 | 2 citations dans Numdam
URL stable : http://www.numdam.org/item?id=M2AN_1976__10_1_29_0

Bibliographie

[1] Agmon S., Lectures on elliptic boundary value problems, Princeton : D. Van Nostrand Company, Inc. 1965. MR 178246 | Zbl 0142.37401

[2] Berger A. E. Ciment M. and Rogers J. C. W., Numerical solution of a diffusion consumption problem with a free boundary, SIAM J, Num. Anal. 12, 646-672 (1975). MR 383779 | Zbl 0317.65032

[3] Brézis H., Problèmes unilatéraux, J. Math. Pures et Appl. 51, 1-168 (1972). MR 428137 | Zbl 0237.35001

[4] Douglas J. Jr., and Dupont T., Galerkin methods for parabolic equations, SIAM J. Num. Anal. 7, 575-626 (1970). MR 277126 | Zbl 0224.35048

[5] Duvaut G. and Lions, J. L., Les inéquations en mécanique et en physique, Paris : Dunod 1972. MR 464857 | Zbl 0298.73001

[6] Falk R., Error estimates for the approximation of a class of variational inequalities, Math of Comp. 28, 963-971 (1974). MR 391502 | Zbl 0297.65061

[7] Gantmacher F. R., The theory of matrices, Vol. 1. New York : Chelsea Publishing Company 1959. MR 107649 | Zbl 0927.15001

[8] Hunt C. and Nassif N., Inéquations variationnelles et détermination de la charge d'espace de certains semi-conducteurs, C. R. Acad. Se. Paris, A 278, 1409-1412 (1974). MR 343769 | Zbl 0283.49020

[9] Isaacson E. and Keller H. B., Analysis of numerical methods, New York : John Wiley & Sons, Inc., 1966. MR 201039 | Zbl 0168.13101

[10] Lewy H. and Stampacchia G., On the regularity of the solution of a variational inequality, Comm. on Pure and Appl, Math. 22, 153-188 (1969). MR 247551 | Zbl 0167.11501

[11] Lions J. L., Approximation numérique des inéquations d'évolution, Constructive Aspects of Functional Analysis edited by G. Geymonat, II Ciclo 1971-Centro Internazionale Matematico Estivo, Roma (1973). Zbl 0299.65054

[12] Lions J. L. and Stampacchia G., Variational inequalities, Comm. on Pure and Appl. Math. 20, 493-519 (1967). MR 216344 | Zbl 0152.34601

[13] Lions J L, Tremolieres R and Glowinski R, Methodes generales d'approximation des problèmes d'inéquations stationnaires, Institut de Recherche d'Informatique et d'Automatique (March 1971)

[14] Lions J L, Tremolieres R and Glowinski R, Algorithmes d'optimisation, Institut de Recherche d'Informatique et d'Automatique (July 1971)

[15] Mosco U and Strang G, One-sided approximation and varational inequalities, Bull Amer Math Soc 80,308-312 (1974) MR 331818 | Zbl 0278.35026

[16] Richtmyer R D and Morton K W Différence methods for initial-value problems New York Interscience Publishers, 1967 MR 220455 | Zbl 0155.47502

[17] Strang G, The finite element method-linear and nonlinear applications, to appear in the Proceedings of the International Congress of Mathematicians, Vancouver, Canada 1974 MR 423842 | Zbl 0334.65087

[18] Strang G and Fix G, An analysis of the finite element method, Englewood Chffs Prentice-Hall, Inc 1973 MR 443377 | Zbl 0356.65096

[19] Stroud A H and Secrest D, Gaussian quadrature formulas Englewood Cliffs Prentice-Hall, Inc 1966 MR 202312 | Zbl 0156.17002

[20] Varga R S, Matrix iterative analysis, Englewood Cliffs Prentice-Hall, Inc 1965 MR 158502 | Zbl 0133.08602