Optimization of the domain in elliptic unilateral boundary value problems by finite element method

I. Hlaváček; J. Nečas

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 4, page 351-373
  • ISSN: 0764-583X

How to cite

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Hlaváček, I., and Nečas, J.. "Optimization of the domain in elliptic unilateral boundary value problems by finite element method." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.4 (1982): 351-373. <http://eudml.org/doc/193403>.

@article{Hlaváček1982,
author = {Hlaváček, I., Nečas, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {optimization of the domain; finite element method; minimization of a cost functional; boundary conditions of Signorini's type; convergence; contact between elastic bodies; Poisson equation},
language = {eng},
number = {4},
pages = {351-373},
publisher = {Dunod},
title = {Optimization of the domain in elliptic unilateral boundary value problems by finite element method},
url = {http://eudml.org/doc/193403},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Hlaváček, I.
AU - Nečas, J.
TI - Optimization of the domain in elliptic unilateral boundary value problems by finite element method
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 4
SP - 351
EP - 373
LA - eng
KW - optimization of the domain; finite element method; minimization of a cost functional; boundary conditions of Signorini's type; convergence; contact between elastic bodies; Poisson equation
UR - http://eudml.org/doc/193403
ER -

References

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  1. [1] D. BEGIS, R. GLOWINSKI, Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Appl Math Optimization, Vol. 2, 1975, pp. 130-169. Zbl0323.90063MR443372
  2. [2] P. G. CIARLET, The Finite Element Method for Elliptic Problems. North Holland, Amsterdam, 1978. Zbl0383.65058MR520174
  3. [3] J. NECAS, Les méthodes directes en théorie des équations elliptiques. Acadmia, Prague, 1967. MR227584

Citations in EuDML Documents

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  1. Jaroslav Haslinger, Pekka Neittaanmäki, Penalty method in design optimization of systems governed by a unilateral boundary value problem
  2. Jaroslav Haslinger, Pekka Neittaanmäki, Timo Tiihonen, Shape optimization in contact problems based on penalization of the state inequality
  3. Ivan Hlaváček, Optimization of the domain in elliptic problems by the dual finite element method
  4. Zdeněk Kestřánek, Numerical analysis for optimal shape design in elliptic boundary value problems

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