Application of the linear sampling method to retrieve cracks with impedance boundary conditions

Fahmi Ben Hassen 1 Yosra Boukari 1, 2, * Houssem Haddar 2
* Corresponding author
2 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
Abstract : We use the Linear Sampling Method (LSM) to detect a crack with impedance boundary conditions. This paper extends the work of Cakoni and Colton [1] that uses the LSM to reconstruct a crack with mixed boundary conditions from measurements of the far field patterns associated with different incident plane waves. The performance of our method is illustrated through some numerical examples.
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Fahmi Ben Hassen, Yosra Boukari, Houssem Haddar. Application of the linear sampling method to retrieve cracks with impedance boundary conditions. [Research Report] RR-7478, INRIA. 2010. ⟨inria-00543901⟩

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