On an optimal shape design problem in conduction

José Carlos Bellido

ESAIM: Control, Optimisation and Calculus of Variations (2006)

  • Volume: 12, Issue: 4, page 699-720
  • ISSN: 1292-8119

Abstract

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In this paper we analyze a typical shape optimization problem in two-dimensional conductivity. We study relaxation for this problem itself. We also analyze the question of the approximation of this problem by the two-phase optimal design problems obtained when we fill out the holes that we want to design in the original problem by a very poor conductor, that we make to converge to zero.

How to cite

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Bellido, José Carlos. "On an optimal shape design problem in conduction." ESAIM: Control, Optimisation and Calculus of Variations 12.4 (2006): 699-720. <http://eudml.org/doc/249683>.

@article{Bellido2006,
abstract = { In this paper we analyze a typical shape optimization problem in two-dimensional conductivity. We study relaxation for this problem itself. We also analyze the question of the approximation of this problem by the two-phase optimal design problems obtained when we fill out the holes that we want to design in the original problem by a very poor conductor, that we make to converge to zero. },
author = {Bellido, José Carlos},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal shape design; relaxation; variational approach; Γ-convergence; semiconvex envelopes; quasiconvexity.; optimal shape design; variational approach; -convergence; quasiconvexity},
language = {eng},
month = {10},
number = {4},
pages = {699-720},
publisher = {EDP Sciences},
title = {On an optimal shape design problem in conduction},
url = {http://eudml.org/doc/249683},
volume = {12},
year = {2006},
}

TY - JOUR
AU - Bellido, José Carlos
TI - On an optimal shape design problem in conduction
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2006/10//
PB - EDP Sciences
VL - 12
IS - 4
SP - 699
EP - 720
AB - In this paper we analyze a typical shape optimization problem in two-dimensional conductivity. We study relaxation for this problem itself. We also analyze the question of the approximation of this problem by the two-phase optimal design problems obtained when we fill out the holes that we want to design in the original problem by a very poor conductor, that we make to converge to zero.
LA - eng
KW - Optimal shape design; relaxation; variational approach; Γ-convergence; semiconvex envelopes; quasiconvexity.; optimal shape design; variational approach; -convergence; quasiconvexity
UR - http://eudml.org/doc/249683
ER -

References

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