# On an optimal shape design problem in conduction

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

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

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topBellido, 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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