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Numerical solution of two-dimensional magnetostatic problems by augmented lagrangian methods. (English) Zbl 0364.65104

MSC:
65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
49M15 Newton-type methods
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[1] Glowinski, R.; Marrocco, A., Analyse numérique du champ magnétique d’un alternateur par éléments finis et surrelaxation ponctuelle non linéaire, Comp. meths. appl. mech. eng., 3, 55-80, (1974) · Zbl 0288.65068
[2] Glowinski, R.; Marrocco, A., Sur l’approximation par éléments finis d’ordre 1 et la résolution par pénalisation dualité d’une classe de problèmes de Dirichlet non linéaires, C.R.A.S. Paris, 278, 1649-1652, (1974), ser. A · Zbl 0287.65055
[3] Glowinski, R.; Marrocco, A., Sur l’approximation par éléments finis d’ordre 1 et la résolution par pénalisation dualité d’une classe de problèmes de Dirichlet non linéaires, Rev. fran. autom. inform. rech. opér. R.A.I.R.O., 41-76, (1975) · Zbl 0368.65053
[4] Glowinski, R.; Lions, J.L.; Tremolieres, R., Analyse numérique des inéquations variationnelles, (1976), Dunod-Bordas · Zbl 0358.65091
[5] A. Marrocco. To appear.
[6] Cea, J.; Glowinski, R., Sur des méthodes d’optimisation par relaxation, Rev. fran. autom. inform. rech. opér. R.A.I.R.O., x, 5-32, (1973) · Zbl 0279.90033
[7] Gabay, D.; Mercier, B., A dual algorithm for the solution of nonlinear variational problems, via finite element approximation, Comp. math. appl., 2, 17-40, (1976) · Zbl 0352.65034
[8] M. Fortin, R. Glowinski and A. Marrocco. To appear.
[9] Glowinski, R.; Marrocco, A., Finite element approximation and iterative methods of solution for 2D nonlinear magnetostatic problems, (), 112-125
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