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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00111307
Contributor : Marc Bonnet <>
Submitted on : Tuesday, August 13, 2019 - 6:16:55 PM
Last modification on : Wednesday, August 14, 2019 - 9:55:21 AM

File

Bui2000.pdf
Publisher files allowed on an open archive

Identifiers

  • 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⟩

Share

Metrics

Record views

231

Files downloads

1