An effective numerical strategy for retrieving all characteristic parameters of an elastic scatterer from its FFP measurements

JOURNAL OF COMPUTATIONAL PHYSICS

卷:419

Article

Azpiroz, Izar¹  Barucq, Helene²  Diaz, Julien²  Djellouli, Rabia^3,4 

[1] Vicomtech Fdn, Basque Res & Technol Alliance BRTA, Mikeletegi 57, Donostia San Sebastian 20009, Spain

[2] Univ Pau & Pays Adour, INRIA, E2S UPPA, Team Mag 3D,LMAP, Ave Univ,BP 1155, F-64013 Pau, France

[3] Calif State Univ Northridge, Dept Math, 18111 Nordhoff St, Northridge, CA 91330 USA

[4] Calif State Univ Northridge, Interdisciplinary Res Inst Sci, IRIS, 18111 Nordhoff St, Northridge, CA 91330 USA

关键词: Helmholtz equation;    Elastic scatterer;    Inverse scattering problem;    III-posedness;    Regularization;    Newton-type method;   

DOI  :  10.1016/j.jcp.2020.109683

来源: Elsevier

【 摘 要 】

A new computational strategy is proposed for determining all elastic scatterer characteristics including the shape, the material properties (Lame coefficients and density), and the location from the knowledge of far-field pattern (FFP) measurements. The proposed numerical approach is a multi-stage procedure in which a carefully designed regularized iterative method plays a central role. The adopted approach is critical for recognizing that the different nature and scales of the sought-after parameters as well as the frequency regime have different effects on the scattering observability. Identification results for two-dimensional elastic configurations highlight the performance of the designed solution methodology. Published by Elsevier Inc.

【 授权许可】

Free