Skip to Main content Skip to Navigation
Journal articles

Inverse impedance boundary problem via the conformal mapping method: the case of small impedances

Abstract : Haddar and Kress [9] extended the use of the conformal mapping approach [2, 8] to reconstruct the internal boundary curve Ti of a doubly connected domain from the Cauchy data on the external boundary of a harmonic function satisfying a homogeneous impedance boundary condition on Ti. However, the analysis of this scheme indicates non convergence of the proposed algorithm for small values of the impedance. In this paper, we modify the algorithm proposed in [9] in order to obtain a convergent and stable inversion process for small impedances. We illustrate the performance of the method through some numerical examples that also include the cases of variable impedances.
Document type :
Journal articles
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.inria.fr/hal-00739330
Contributor : Coordination Episciences Iam <>
Submitted on : Friday, March 11, 2016 - 2:23:53 PM
Last modification on : Saturday, May 1, 2021 - 3:39:05 AM

File

Vol.13.pp.47-62.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00739330, version 2

Collections

Citation

F. Ben Hassen, Y. Boukari, H. Haddar. Inverse impedance boundary problem via the conformal mapping method: the case of small impedances. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2010, 13, pp.47-62. ⟨hal-00739330v2⟩

Share

Metrics

Record views

355

Files downloads

1559