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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
The factorization method applied to cracks with impedance boundary conditions
Inverse Problems and Imaging, Volume 7, No. 4, Year 2013
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Description
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 frequency. 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. © 2013 American Institute of Mathematical Sciences.
Authors & Co-Authors
Boukari, Yosra
France, Palaiseau
Centre de Mathématiques Appliquées
Tunisia, Tunis
Ecole Nationale D'ingénieurs de Tunis, Laboratoire de Modélisation Mathématique et Numérique Dans Les Sciences de L'ingénieur
Haddar, Houssem
France, Palaiseau
Centre de Mathématiques Appliquées
Statistics
Citations: 49
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.3934/ipi.2013.7.1123
ISSN:
19308337
e-ISSN:
19308345