Spatial localization of the error of constitutive law for the identification of defects in elastic bodies

Abstract : The error on constitutive law (ECL) is a cost functional currently used in inverse problems for identifying interior distribution of coefficients of partial differential equations from overspecified boundary conditions. In previous works, different authors have shown that the ECL permits a good spatial localization of the perturbations of the coefficients. The purpose of this paper is to justify this spatial localization property. The result is obtained for the elliptic equations of elasticity using boundary integral representations of the solutions and comparing the linear and the perturbed solution of the problem.
Type de document :
Article dans une revue
Liste complète des métadonnées

Littérature citée [22 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00111307
Contributeur : Marc Bonnet <>
Soumis le : mardi 13 août 2019 - 18:16:55
Dernière modification le : mercredi 14 août 2019 - 09:55:21

Fichier

Bui2000.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-00111307, version 1

Citation

Huy Duong Bui, Andreï Constantinescu. Spatial localization of the error of constitutive law for the identification of defects in elastic bodies. Archives of Mechanics, Polish Scientific Publishers Pwn, 2000, 52, pp.511-522. ⟨hal-00111307⟩

Partager

Métriques

Consultations de la notice

255

Téléchargements de fichiers

5