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Title: On the solution of one problem of the plate with ribs (English)
Author: Procházka, Petr
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 25
Issue: 3
Year: 1980
Pages: 196-208
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: In the present paper the convergence of the finite element method to the solution of the problem of a plate with ribs which are stiff against torsion in the sense of Vlasov is studied. According to the conclusions of a paper by the author and J. Haslinger it suffices to prove a density theorem (Theorem 2.1). (English)
Keyword: convergence of finite element approach
Keyword: bending of plates with ribs
Keyword: density theorem
MSC: 73K10
MSC: 73K25
MSC: 74K20
MSC: 74S05
idZBL: Zbl 0446.73050
idMR: MR0568525
DOI: 10.21136/AM.1980.103851
Date available: 2008-05-20T18:14:13Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] P. G. Ciarlet P. A. Raviart: General Lagrange and Hermite Interpolation in $R_n$ with Aplications to Finite Element Methods.Arch. Rat. Mech. Anal., sv. 46, 1972. MR 0336957
Reference: [2] J. Haslinger: Sur la solution d'un problème de la plaque.Apl. mat. с. 5, sv. 19, 1974. Zbl 0324.73049, MR 0369902
Reference: [3] J. Haslinger P. Procházka: Conforming finite element method in the problem of a plate with ribs.Apl. mat. c. 4, sv. 22 1977. MR 0449141
Reference: [4] V. Janovský P. Procházka: The nonconforming finite element method in the problem of clamped plate with ribs.Apl. mat. č. 4, sv. 21, 1976. MR 0413548
Reference: [5] V. Janovský P. Procházka: Convergence analysis of a nonconforming finite element method solving a plate with ribs.Apl. mat. c. 1, sv. 23, 1978. MR 0462100
Reference: [6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha, 1967. MR 0227584
Reference: [7] P. Procházka: Plate with ribs.(in Czech). CSc-dissertation, ČVUT, Praha, 1975.


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