The Factorization method applied to cracks with impedance boundary conditions

Abstract : We use the Factorization method to retrieve the shape of cracks with impedance boundary conditions from farfields associated with incident plane waves at a fixed fre- quency. This work is an extension of the study initiated by Kirsch and Ritter [Inverse Problems, 16, pp. 89-105, 2000] where the case of sound soft cracks is considered. We address here the scalar problem and provide theoretical validation of the method when the impedance boundary conditions hold on both sides of the crack. We then deduce an inversion algorithm and present some validating numerical results in the case of simply and multiply connected cracks.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/hal-00768729
Contributor : Houssem Haddar <>
Submitted on : Sunday, December 23, 2012 - 11:51:57 AM
Last modification on : Friday, June 14, 2019 - 6:20:02 PM
Long-term archiving on : Sunday, March 24, 2013 - 3:50:35 AM

File

preprint_Factorisation.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00768729, version 1

Collections

Citation

Yosra Boukari, Houssem Haddar. The Factorization method applied to cracks with impedance boundary conditions. Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2013, 7 (4). ⟨hal-00768729⟩

Share

Metrics

Record views

659

Files downloads

430