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Mixed finite elements in $\bbfR^3$. (English) Zbl 0419.65069

65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
78A25General electromagnetic theory
74S05Finite element methods in solid mechanics
65D05Interpolation (numerical methods)
Full Text: DOI EuDML
[1] Adam JC, Gourdin Serveniere A, Nedelec JC (1980) Study of an implicit scheme for integrating Maxwell’s equation. (in press) · Zbl 0433.73067
[2] Brezzi F (1974) On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO 8:129-151 · Zbl 0338.90047
[3] Ciarlet PG (1978) The finite element method for elliptic problems. North Holland, Amsterdam, New York · Zbl 0383.65058
[4] Duvaut G, Lions JL (1972) Les inéquations en mécanique et en physique. Dunod, Paris · Zbl 0298.73001
[5] Fortin M (1977) An analysis of the convergence of mixed finite element methods. RAIRO 11:341-354 · Zbl 0373.65055
[6] Glowinski R, Marroco A (1975) Sur l’approximation par éléments finis d’ordre un et la résolution par pénalisation-dualité d’une classe de problèmes de Dirichlet non linéaires. Rapport de Recherche IRIA no 115 · Zbl 0368.65053
[7] Petravic (1976) Numerical modeling of pulsar magnetospheres. Computer Physics Communications 12:9-19 · doi:10.1016/0010-4655(76)90006-0
[8] Raviart PA, Thomas JM (1977) A mixed finite element method for 2nd order elliptic problems. In: Dold A, Eckmann B (eds). Mathematical aspects of finite element methods. Proceedings of the conference held in Rome, 10-12 Dec, 1975. Springer, Berlin Heidelberg New York (Lecture Notes in Mathematics vol 606)
[9] Thomas JM (1977) Doctoral Thesis. Université de Paris VI