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Analyse numérique du champ magnetique d’un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire. (French) Zbl 0288.65068


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65Z05 Applications to the sciences
65H10 Numerical computation of solutions to systems of equations
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References:

[1] Silvester, P.; Chari, M. V.K., Analysis of turboalternator magnetic fields by finite elements, IEEE, P.S.A., 90, No. 2, 454-464 (March-Apr. 1971)
[2] Silvester, P.; Chari, M. V.K., Finite element analysis of magnetically saturated D.C. machines, IEEE P.A.S., 2362-2372 (Sept-Oct. 1971)
[3] Lions, J. L., Controle optimal de systemes gouvernes par des equations aux derives partielles (1968), Dunod: Dunod Paris · Zbl 0179.41801
[4] Cea, J., Optimisation (1971), Dunod: Dunod Paris · Zbl 0211.17402
[5] Argyris, J. H.; Mareczek, G.; Sharpf, D. W., Two and three dimensional flow using finite elements, Aeronautical Journal, 961-964 (1969)
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[10] Argyris, J. H.; Scharpf, D. W., “The HERMES 8 element for the matrix-displacement method,” (Hermitian interpolation), The Aeronautical Journal of the Royal Aeronautical Society, 72, 613-617 (1968)
[11] Kagur, J.; Necas, J.; Polak, J.; Soucek, J., Convergence of a method for solving the magnetostatic field in non linear media, Applikace Matematiky, Svozek, 13 (1968)
[12] Erdely, E. A.; Fuchs, E. F., Non linear field analysis of D.C. machines, IEEE, P.A.S., 80, No. 7, 1546-1583 (Sept.-Oct. 1970)
[13] Winslow, A. M., Numerical solution of the quasi-linear Poisson equation in a non uniform triangle mesh, Journal of Computational Physic, 2, 149-172 (1967)
[14] Concus, P., Numerical solution of the non-linear magnetostatic field equation in two-dimension, J. of Computational Physics, 1, 330-342 (1967) · Zbl 0154.41103
[15] Schechter, S., Iteration method for non linear problems, Trans. A.M.S., 104, 179-189 (1962) · Zbl 0106.31801
[16] S. Schechter, “Relaxation methods for convex problems,” SIAM J. on Numerical Analysis 5, pp. 601-612.; S. Schechter, “Relaxation methods for convex problems,” SIAM J. on Numerical Analysis 5, pp. 601-612. · Zbl 0179.22701
[17] Schechter, S., Minimisation of convex function by relaxation, (Abadie, J., Integer and non linear programming (1970), North-Holland), 177-189, Ch. 7
[18] Glowinski, R., La methode de Relaxation, Quaderni dei rendiconti di matematica, 14 (1972), Roma
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