Numerical solution of partial differential equation problems in nonlinear mechanics by quadratic minimization methods
Colloque en l'honneur de Laurent Schwartz (Volume 2), Astérisque, no. 132 (1985), 37 p.
@incollection{AST_1985__132__129_0,
     author = {Glowinski, R. and Le Tallec, P.},
     title = {Numerical solution of partial differential equation problems in nonlinear mechanics by quadratic minimization methods},
     booktitle = {Colloque en l'honneur de Laurent Schwartz (Volume 2)},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {132},
     year = {1985},
     zbl = {0589.65076},
     mrnumber = {816764},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1985__132__129_0/}
}
Glowinski, R.; Le Tallec, P. Numerical solution of partial differential equation problems in nonlinear mechanics by quadratic minimization methods, dans Colloque en l'honneur de Laurent Schwartz (Volume 2), Astérisque, no. 132 (1985), 37 p. http://archive.numdam.org/item/AST_1985__132__129_0/

[1] Beale B. T., Majda A., Rates of convergence for viscous splitting of the Navier-Stokes equations, Math. Comp., 37, (1981), pp. 243-260. | Article | MR 628693 | Zbl 0518.76027

[2] Bristeau M. O., Glowinski R., Periaux J., Perrier P., Pironneau O., Poirier G., Transonic Flow Simulations by Finite Elements and Least Squares Methods, in Finite Elements in Fluids, Vol. 4, R.H. Gallagher, D.H, Norrie, J.T. Oden, O.C. Zienkiewicz eds ; Wiley, Chichester, 1982, pp. 453-482. | MR 695677

[3] Ciarlet P. G., Topics in Mathematical Elasticity, North-Holland(to appear). | MR 936420 | Zbl 0953.74004

[4] Ciarlet P. G., Geymonat G., Sur les lois de comportement en élasticité nonlinéaire compressible, C.R.A.S. Paris, 1982. | Zbl 0497.73017

[5] Dinh Q. V., Glowinski R., Periaux J., Domain decomposition methods for nonlinear problems in Fluid Dynamics, Comp. Meth. Appl. Mech. Eng. (to apppear). | MR 718028 | Zbl 0505.76068

[6] Fortin M., Glowinski R., (eds.), Méthodes de Lagrangien Augmenté. Application à la Résolution Numérique de Problèmes aux Limites, Dunod-Bordas, Paris, 1982 (English translation published by North-Holland, Amsterdam, in 1983). | MR 672421 | Zbl 0491.65036

[7] Glowinski R., Numerical Methods for Nonlinear Variational Problems, Springer-Verlag, New-York, 1983. | MR 2423313 | Zbl 1139.65050

[8] Glowinski R., Keller H. B., Reinhart L., Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Rapport INRIA 141, Juin 1982. | Zbl 0589.65075

[9] Glowinski R., Le Tallec P., Numerical solution of problems in incompressible finite elasticity by augmented lagrangian methods. (I) Two-dimensional and axisummetric problems, SIAMJ. Appi. Math., 42, (1982), pp. 400-429. | Article | MR 650233 | Zbl 0506.73045

[10] Glowinski R. , Le Tallec P., Numerical solutions of problems in incompressible finite elasticity by augmented lagrangian methods. (II) Three-dimensional problems, SIAM J. Appl. Math, (to appear). | MR 750945 | Zbl 0551.73041

[11] Glowinski R., Le Tallec P., Elasticité non linéaire : Formulation mixte et méthode numérique associée, in Computing Methods in Applied Sciences and Engineering V, R. Glowinski and J.L. Lions eds., North-Holland, Amsterdam, 1982, pp. 281-297. | MR 784639 | Zbl 0513.73019

[12] Glowinski R., Le Tallec P., Augmented Lagrangians in Nonlinear Elasticity and in Plasticity (book in preparation).

[13] Glowinski R., Mantel B., Periaux J., Numerical solution of the time dependant Navier-Stokes equations for incompressible viscous fluids, in Numerical Methods in Aeronautical Fluid Dynamics, P.L. Roc ed., Academic Press, London, 1982, pp. 309-336. | Zbl 0564.76041

[14] Glowinski R., Marrocco A., Sur l'approximation par éléments finis d'ordre un et la résolution par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires. Revue Française Automat. Informat. Rech. Opérationnelle, Analyse Numérique, R-2, (1975), pp. 41.76. | EuDML 193269 | MR 388811 | Zbl 0368.65053

[15] Hackbush W., Trottenberg U. (eds), Multigrid Methods, Lecture Notes in Math. Vol. 960, Springer-Verlag, Berlin, 1982. | MR 685772

[16] Hecht F., On weakly divergence free finite element bases (to appear).

[17] Hughes T. J. R., Marsden J., Mathematical Foundations of Elasticity, Prentice Hall, Englewood Cliffs, N.J., 1983. | Zbl 0545.73031

[18] Le Tallec P., Vidrascu M., Une étude numérique pour les problèmes d'équilibre de corps hyper élastiques compressibles en grandes déformations. Rapport Sectoriel MA 1 du Laboratoire Central des Ponts et Chaussées, 1983. | MR 736080 | Zbl 0545.73009

[19] Lions J. L., Problèmes aux Limites dans les Equations aux Dérivées Partielles, Presses de l'Univers, de Montréal, Montréal, P.Q., 1962. | MR 251372 | Zbl 0143.14003

[20] Lions J. L., Controle Optimal des Systèmes Gouvernés par des Equations aux Dérivées Partielles, Dunod, Paris, 1968. | MR 244606 | Zbl 0179.41801

[21] Meijerink J. A., Van Der Vorst H. A., An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. Comp., 31, (1977), pp. 148-162. | MR 438681 | Zbl 0349.65020

[22] Polak E., Computational Methods in Optimization, Academic Press, New-York, 1971. | Zbl 0301.90040

[23] Powell M. J. D., Restart procedure for the conjugate gradient method. Math. Programming, 12, (1977), pp. 148-162. | MR 478622 | Zbl 0396.90072

[24] Reinhart L., On the numerical analysis of the Von Karman equations : Mixed Finite Element Approximation and Continuation Techniques, Numerish Math., 39, (1982), pp. 371-404. | EuDML 132804 | MR 678742 | Zbl 0503.73048

[25] Ruas V., Méthodes d'éléments finis en élasticité incompressible non linéaire. Thèse d'Etat, Université Pierre et Marie Curie, Paris, 1982.