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Convergence analysis of a nonconforming finite element method solving a plate with ribs. (English) Zbl 0415.73085


MSC:

74S05 Finite element methods applied to problems in solid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:

[1] Janovský V., Procházka P.: The nonconforming finite element method in the problem of clamped plate with ribs. Aplikace matematiky 21, (1976), 273 - 289.
[2] Lions J. L., Magenes E.: Problèmes aux limites non homogènes et applications. Dunod, Paris, Vol. 1 (1968). · Zbl 0165.10801
[3] Kondratěv V. A.: Boundary value problem for elliptic equations in domains with conical or angular points. (Russian) Trudy Mosk. Mat. Obšč. 16, (1967), 209-292.
[4] Nečas J.: Les methodes directes en théorie des équations elliptiques. Academia, Prague 1967.
[5] Jakovlev G. N.: Boundary properties of functions from \(W_p^{(1)} on domains with angular points. (Russian) Dokl. Akad. Nauk SSSR 140, (1961), 73-76.\)
[6] Kolář V., et al.: Technical, Physical and Mathematical Principles of the Finite Element Method. Rozpravy ČSAV, Academia Praha, 1971, 81, 2.
[7] Křístek V.: Theory of solution of box girders. SNTL Praha, 1974)
[8] Kovář A.: Theory of torsion. Academia, Praha 1954)
[9] Zienkiewicz O. C.: The Finite Element Method in Engineering Science. McGraw-Hill, London, 1971. · Zbl 0237.73071
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