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Sibony, Moise

Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires. (French) Zbl 0407.65024

Apl. Mat. 22, 291-300 (1977).
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scan of Zbl 0407.65024

MSC:

65J15 Numerical solutions to equations with nonlinear operators
47J25 Iterative procedures involving nonlinear operators
35J60 Nonlinear elliptic equations
65N99 Numerical methods for partial differential equations, boundary value problems

Keywords:

Nonlinear Operator Equations in Hilbert Space; Iterative Methods; Numerical Methods; Nonlinear Boundary Value Problem for Elliptic Equations; Numerical Example

Citations:

Zbl 0157.225
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\textit{M. Sibony}, Apl. Mat. 22, 291--300 (1977; Zbl 0407.65024)
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References:

[1] H. Brezis: Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Annales Inst. Fourier, Tome XVIII, Fasc. 1, 1968, p. 115-175. · Zbl 0169.18602 · doi:10.5802/aif.280
[2] H. Brezis, M. Sibony: Méthodes d’approximations et d’iterations pour les opérateurs monotones. Archive for Rational Mechanics and Analysis, t. 28, (1968), p. 59-82. · Zbl 0157.22501 · doi:10.1007/BF00281564
[3] F. Browder: Problèmes non linéaires. Université de Montreal, 1966. · Zbl 0153.17302
[4] F. Browder: Existence theorems of non linear partial differential equations. Proc. Amer. Math. Soc., 1968, Summer Institue in Global Analysis.
[5] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod Gauthier-Villars, 1969. · Zbl 0189.40603
[6] M. Sibony: Sur l’approximation d’équations et inéquations aux dérivées partielles non linéaires de type monotone. J. of Math. Anal, and Appl. Vol. 34, n^\circ 3, June 1971, p. 502-564. · Zbl 0216.42201 · doi:10.1016/0022-247X(71)90095-3
[7] M. Sibony: Méthodes itératives sur les équations et inéquations aux dérivées partielles non linéaires de type monotone. Calcolo, Vol. 7, Fasc. 1 - 2, 1970, p. 65-183. · Zbl 0225.35010 · doi:10.1007/BF02575559
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