| Issue |
ESAIM: COCV
Volume 12, Number 4, October 2006
|
|
|---|---|---|
| Page(s) | 699 - 720 | |
| DOI | https://doi.org/10.1051/cocv:2006018 | |
| Published online | 11 October 2006 | |
On an optimal shape design problem in conduction
Mathematical Institute, University of Oxford,
24-29 St. Giles', OX1 3LB, Oxford, UK; JoseCarlos.Bellido@uclm.es
(On leave from Universidad de Castilla-La Mancha (Spain).)
Received:
13
May
2005
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.
Mathematics Subject Classification: 49J45 / 49Q10
Key words: Optimal shape design / relaxation / variational approach / Γ-convergence / semiconvex envelopes / quasiconvexity.
© EDP Sciences, SMAI, 2006
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