[Réduction dimensionnelle 3D–2D dʼun problème non linéaire dʼoptimisation de forme avec pénalisation sur le périmètre]
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.
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.
Accepté le :
Publié le :
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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