Geodesic
The factorization method for cracks in inhomogeneous media
Applications of Mathematics, Tome 62 (2017) no. 5, pp. 509-533.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider the inverse scattering problem of determining the shape and location of a crack surrounded by a known inhomogeneous media. Both the Dirichlet boundary condition and a mixed type boundary conditions are considered. In order to avoid using the background Green function in the inversion process, a reciprocity relationship between the Green function and the solution of an auxiliary scattering problem is proved. Then we focus on extending the factorization method to our inverse shape reconstruction problems by using far field measurements at fixed wave number. We remark that this is done in a non intuitive space for the mixed type boundary condition as we indicate in the sequel.
DOI : 10.21136/AM.2017.0194-16
Classification : 45Q05
Keywords: inverse scattering; factorization method; crack; inhomogeneous media 
@article{10_21136_AM_2017_0194_16,
     author = {Guo, Jun and Yan, Guozheng and Jin, Jing and Hu, Junhao},
     title = {The factorization method for cracks in inhomogeneous media},
     journal = {Applications of Mathematics},
     pages = {509--533},
     publisher = {mathdoc},
     volume = {62},
     number = {5},
     year = {2017},
     doi = {10.21136/AM.2017.0194-16},
     mrnumber = {3722902},
     zbl = {06819519},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0194-16/}
}
TY  - JOUR
AU  - Guo, Jun
AU  - Yan, Guozheng
AU  - Jin, Jing
AU  - Hu, Junhao
TI  - The factorization method for cracks in inhomogeneous media
JO  - Applications of Mathematics
PY  - 2017
SP  - 509
EP  - 533
VL  - 62
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0194-16/
DO  - 10.21136/AM.2017.0194-16
LA  - en
ID  - 10_21136_AM_2017_0194_16
ER  - 
%0 Journal Article
%A Guo, Jun
%A Yan, Guozheng
%A Jin, Jing
%A Hu, Junhao
%T The factorization method for cracks in inhomogeneous media
%J Applications of Mathematics
%D 2017
%P 509-533
%V 62
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0194-16/
%R 10.21136/AM.2017.0194-16
%G en
%F 10_21136_AM_2017_0194_16
Guo, Jun; Yan, Guozheng; Jin, Jing; Hu, Junhao. The factorization method for cracks in inhomogeneous media. Applications of Mathematics, Tome 62 (2017) no. 5, pp. 509-533. doi : 10.21136/AM.2017.0194-16. http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0194-16/

Cité par Sources :