| Title:
|
On the solution of a plate with ribs (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Procházka, Petr |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
22 |
| Issue:
|
4 |
| Year:
|
1977 |
| Pages:
|
256-271 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Numerical solution of the problem of a plate with ribs by the finite element method is studied in this paper. Since the regularity of a solution of the trial problem is not a priori known, the convergence of the finite element method is ensured when a space of smooth enough functions which is dense in the trial space is found. To find such a space is the main goal of this paper. Some numerical results are compared with the folded plate method in the last part. () |
| MSC:
|
65N99 |
| MSC:
|
74K20 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 0378.73061 |
| idMR:
|
MR0449141 |
| DOI:
|
10.21136/AM.1977.103702 |
| . |
| Date available:
|
2008-05-20T18:07:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103702 |
| . |
| Reference:
|
[1] P. G. Ciarlet P. A. Raviart: General Lagrange and Hermite Interpolation in $R_n$ with Applications 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.Aplikace matematiky, č. 5, sv. 19, 1974. Zbl 0324.73049, MR 0369902 |
| Reference:
|
[3] J. L. Lions E. Magenes: Problemes aux limites non homogenes et applications.DUNOD - Paris - 1968. |
| Reference:
|
[4] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
| Reference:
|
[5] V. S. Vladimirov: Уравнения математической физики.Наука, Moskva 1967. Zbl 0234.60109 |
| Reference:
|
[6] V. Křístek: Theory of solution of box girders.SNTL Prague, 1974 (in Czech). |
| . |
