| Title:
|
Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem (English) |
| Author:
|
Chleboun, Jan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
231-248 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J85 |
| MSC:
|
49Q10 |
| idZBL:
|
Zbl 0805.49024 |
| idMR:
|
MR1231869 |
| . |
| Date available:
|
2009-09-24T18:40:18Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125104 |
| . |
| Reference:
|
[1] D. Begis, R. Glowinski: Application de la methode des elements finis a l'approximation d'un probleme de domaine optimal.Appl. Math. Optim. 2 (1975), 130-169. Zbl 0323.90063, MR 0443372 |
| Reference:
|
[2] J. Chleboun: Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem.Thesis (in Czech). Czechoslovak Academy of Sciences, Mathematical Institute, Prague 1991. |
| Reference:
|
[3] P. G. Ciarlet: The Finite Element Method for Elliptic Problems.North Holland, Amsterdam 1978. Zbl 0383.65058, MR 0520174 |
| Reference:
|
[4] M. Crouzeix, P. A. Raviart: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I.RAIRO Anal. Numer. 7(1973), 33-75. MR 0343661 |
| Reference:
|
[5] E. J. Haug K. K. Choi, V. Komkov: Design Sensitivity Analysis of Structural Systems.Academic Press, Orlando - London 1986. MR 0860040 |
| Reference:
|
[6] I. Hlaváček: Optimization of the domain in elliptic problems by the dual finite element method.Apl. Mat. 30 (1985), 50-72. MR 0779332 |
| Reference:
|
[7] I. Hlaváček, R. Makinen: On the numerical solution of axisymmetric domain optimization problems.Appl. Math. 56 (1991), 284-304. MR 1113952 |
| Reference:
|
[8] S. G. Mikhlin: The Problem of the Minimum of a Quadratic Functional.Holden-Day, San Francisco 1965. Zbl 0121.32801, MR 0171196 |
| Reference:
|
[9] P. A. Raviart, J. M. Thomas: Primal hybrid finite element method for 2nd order elliptic equations.Math. Comp. 31 (1977), 391-413. MR 0431752 |
| . |
