The factorization method for cracks in inhomogeneous media.

Autor:	Guo, Jun
Další autoři:	Yan, Guozheng Jin, Jing Hu, Junhao
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles inverse scattering crack factorization method inhomogeneous media
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: 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.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink