Application of the linear sampling method to retrieve cracks with impedance boundary conditions
Ben Hassen, Fahmi ; Boukari, Yosra ; Haddar, Houssem
HAL, Report N°: RR-7478 / Harvested from HAL
Text on HAL
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.
Publié le : 2010-12-06
Classification:  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{Report N°: RR-7478,
     author = {Ben Hassen, Fahmi and Boukari, Yosra and Haddar, Houssem},
     title = {Application of the linear sampling method to retrieve cracks with impedance boundary conditions},
     journal = {HAL},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/Report N°: RR-7478}
}

Ben Hassen, Fahmi; Boukari, Yosra; Haddar, Houssem. Application of the linear sampling method to retrieve cracks with impedance boundary conditions. HAL, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/Report%20N%C2%B0:%20RR-7478/