Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem

Jan Chleboun

Kybernetika (1993)

  • Volume: 29, Issue: 3, page 231-248
  • ISSN: 0023-5954

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Chleboun, Jan. "Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem." Kybernetika 29.3 (1993): 231-248. <http://eudml.org/doc/28259>.

@article{Chleboun1993,
author = {Chleboun, Jan},
journal = {Kybernetika},
keywords = {Poisson equation; smooth cost functional},
language = {eng},
number = {3},
pages = {231-248},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem},
url = {http://eudml.org/doc/28259},
volume = {29},
year = {1993},
}

TY - JOUR
AU - Chleboun, Jan
TI - Hybrid variational formulation of an elliptic state equation applied to an optimal shape problem
JO - Kybernetika
PY - 1993
PB - Institute of Information Theory and Automation AS CR
VL - 29
IS - 3
SP - 231
EP - 248
LA - eng
KW - Poisson equation; smooth cost functional
UR - http://eudml.org/doc/28259
ER -

References

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  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. (1975) Zbl0323.90063MR0443372
  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. (1991) 
  3. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, Amsterdam 1978. (1978) Zbl0383.65058MR0520174
  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. (1973) MR0343661
  5. E. J. Haug K. K. Choi, V. Komkov, Design Sensitivity Analysis of Structural Systems, Academic Press, Orlando - London 1986. (1986) MR0860040
  6. I. Hlaváček, Optimization of the domain in elliptic problems by the dual finite element method, Apl. Mat. 30 (1985), 50-72. (1985) MR0779332
  7. I. Hlaváček, R. Makinen, On the numerical solution of axisymmetric domain optimization problems, Appl. Math. 56 (1991), 284-304. (1991) MR1113952
  8. S. G. Mikhlin, The Problem of the Minimum of a Quadratic Functional, Holden-Day, San Francisco 1965. (1965) Zbl0121.32801MR0171196
  9. P. A. Raviart, J. M. Thomas, Primal hybrid finite element method for 2nd order elliptic equations, Math. Comp. 31 (1977), 391-413. (1977) MR0431752

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