| Title:
|
Internal finite element approximation in the dual variational method for the biharmonic problem (English) |
| Author:
|
Hlaváček, Ivan |
| Author:
|
Křížek, Michal |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
255-273 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^0$-elements. The convergence of the method is proved and an algorithm described. (English) |
| Keyword:
|
conforming finite element method |
| Keyword:
|
dual variational formulation |
| Keyword:
|
biharmonic problem |
| Keyword:
|
mixed boundary conditions |
| MSC:
|
31A30 |
| MSC:
|
35J40 |
| MSC:
|
49D25 |
| MSC:
|
65E05 |
| MSC:
|
65N30 |
| MSC:
|
73K25 |
| idZBL:
|
Zbl 0584.65068 |
| idMR:
|
MR0795986 |
| DOI:
|
10.21136/AM.1985.104149 |
| . |
| Date available:
|
2008-05-20T18:27:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104149 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] B. Fraeijs de Veubeke G. Sander: An equilibrium model for plate bending.Int. J. Solids and Structures 4 (1968), 447-468. 10.1016/0020-7683(68)90049-8 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[15] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584 |
| Reference:
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| Reference:
|
[17] K. Rektorys: Survey of applicable mathematics.Iliffe Books Ltd., London, SNTL, Prague, 1969. Zbl 0175.15802, MR 0241025 |
| Reference:
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| Reference:
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| Reference:
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[20] M. Zlámal: Curved elements in the finite element method.SIAM J. Numer. Anal. 10 (3973), 229-240. MR 0395263, 10.1137/0710022 |
| Reference:
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| . |
