Inverse scattering analysis of elastic half space by means of the fast volume integral equation method. (English) Zbl 1302.74086
Brebbia, Carlos A. (ed.) et al., Boundary elements and other mesh reduction methods XXXV. Selected papers based on the presentations at the 35th international conference (BEM/MRM), New Forest, UK, June 11–13, 2013. Southampton: WIT Press (ISBN 978-1-84564-724-7/hbk; 978-1-84564-725-4/ebook). WIT Transactions on Modelling and Simulation 54, 177-186 (2013).
Summary: A method for the inverse scattering analysis for an elastic half space is developed in this article. The method is based on the fast volume integral equation developed by the author, in that the Krylov subspace is constituted by a fast method without deriving the coefficient matrix for the integral equation. The equation for the inverse scattering analysis obtained from the volume integral equation is for reconstructing fluctuations of the medium from observed scattered waves of the finite region at the free surface. The linearization for the equation is carried out by the Born approximation. The Tikhonov regularization method is also employed to have the iterative solution converge. Several numerical calculations are performed to verify the accuracy of the reconstruction of the wave field as well as the effects of the regularization method.
For the entire collection see [Zbl 1273.65003].
For the entire collection see [Zbl 1273.65003].
MSC:
| 74J20 | Wave scattering in solid mechanics |
| 78A46 | Inverse problems (including inverse scattering) in optics and electromagnetic theory |
| 74S15 | Boundary element methods applied to problems in solid mechanics |
