| 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:
|
http://hdl.handle.net/10338.dmlcz/103851 |
| . |
| 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. |
| . |
