On the solution of one problem of the plate with ribs
Applications of Mathematics, Tome 25 (1980) no. 3, pp. 196-208 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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).
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).
DOI : 10.21136/AM.1980.103851
Classification : 73K10, 73K25, 74K20, 74S05
Keywords: convergence of finite element approach; bending of plates with ribs; density theorem
@article{10_21136_AM_1980_103851,
     author = {Proch\'azka, Petr},
     title = {On the solution of one problem of the plate with ribs},
     journal = {Applications of Mathematics},
     pages = {196--208},
     year = {1980},
     volume = {25},
     number = {3},
     doi = {10.21136/AM.1980.103851},
     mrnumber = {0568525},
     zbl = {0446.73050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103851/}
}
TY  - JOUR
AU  - Procházka, Petr
TI  - On the solution of one problem of the plate with ribs
JO  - Applications of Mathematics
PY  - 1980
SP  - 196
EP  - 208
VL  - 25
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103851/
DO  - 10.21136/AM.1980.103851
LA  - en
ID  - 10_21136_AM_1980_103851
ER  - 
%0 Journal Article
%A Procházka, Petr
%T On the solution of one problem of the plate with ribs
%J Applications of Mathematics
%D 1980
%P 196-208
%V 25
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103851/
%R 10.21136/AM.1980.103851
%G en
%F 10_21136_AM_1980_103851
Procházka, Petr. On the solution of one problem of the plate with ribs. Applications of Mathematics, Tome 25 (1980) no. 3, pp. 196-208. doi: 10.21136/AM.1980.103851

[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

[2] J. Haslinger: Sur la solution d'un problème de la plaque. Apl. mat. с. 5, sv. 19, 1974. | MR | Zbl

[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

[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

[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

[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Praha, 1967. | MR

[7] P. Procházka: Plate with ribs. (in Czech). CSc-dissertation, ČVUT, Praha, 1975.

Cité par Sources :