3D–2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

Graça Carita; Elvira Zappale

doi:10.1016/j.crma.2012.11.005

Mathematical Analysis/Calculus of Variations

3D–2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
[Réduction dimensionnelle 3D–2D dʼun problème non linéaire dʼoptimisation de forme avec pénalisation sur le périmètre]

Présenté par : Philippe G. Ciarlet

Graça Carita ¹ ; Elvira Zappale ²

¹ CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59 7000-671 Évora, Portugal
² D.I.IN., Università degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

Comptes Rendus. Mathématique, Volume 350 (2012) no. 23-24, pp. 1011-1016.

Résumé
Abstract

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.

Reçu le : 2012-01-24
Accepté le : 2012-11-09
Publié le : 2012-11-22

DOI : 10.1016/j.crma.2012.11.005

Affiliations des auteurs :

Graça Carita ¹ ; Elvira Zappale ²

¹ CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59 7000-671 Évora, Portugal
² D.I.IN., Università degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

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     title = {3D{\textendash}2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1011--1016},
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     year = {2012},
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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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