A 3D–2D dimension reduction for a nonlinear optimal design problem with a perimeter penalization is performed in the realm of Γ-convergence, providing an integral representation for the limit functional.
On effectue dans ce travail une réduction dimensionnelle 3D–2D dʼun problème non linéaire dʼoptimisation de forme avec une pénalisation du périmètre. Une représentation intégrale de la fonctionnelle limite est obtenue.
Accepted:
Published online:
Graça Carita 1; Elvira Zappale 2
@article{CRMATH_2012__350_23-24_1011_0,
author = {Gra\c{c}a Carita and Elvira Zappale},
title = {3D{\textendash}2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization},
journal = {Comptes Rendus. Math\'ematique},
pages = {1011--1016},
publisher = {Elsevier},
volume = {350},
number = {23-24},
year = {2012},
doi = {10.1016/j.crma.2012.11.005},
language = {en},
}
TY - JOUR AU - Graça Carita AU - Elvira Zappale TI - 3D–2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization JO - Comptes Rendus. Mathématique PY - 2012 SP - 1011 EP - 1016 VL - 350 IS - 23-24 PB - Elsevier DO - 10.1016/j.crma.2012.11.005 LA - en ID - CRMATH_2012__350_23-24_1011_0 ER -
%0 Journal Article %A Graça Carita %A Elvira Zappale %T 3D–2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization %J Comptes Rendus. Mathématique %D 2012 %P 1011-1016 %V 350 %N 23-24 %I Elsevier %R 10.1016/j.crma.2012.11.005 %G en %F CRMATH_2012__350_23-24_1011_0
Graça Carita; Elvira Zappale. 3D–2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization. Comptes Rendus. Mathématique, Volume 350 (2012) no. 23-24, pp. 1011-1016. doi : 10.1016/j.crma.2012.11.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.11.005/
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