# A linear sampling method for near-field inverse problems in elastodynamics

@article{Fata2004ALS, title={A linear sampling method for near-field inverse problems in elastodynamics}, author={S. Nintcheu Fata and Bojan B. Guzina}, journal={Inverse Problems}, year={2004}, volume={20}, pages={713-736} }

The problem of reconstructing underground obstacles from near-field, surface seismic measurements is investigated within the framework of a linear sampling method. Although the latter approach has been the subject of mounting attention in inverse acoustics dealing with far-field wave patterns in infinite domains, there have apparently not been any attempts to apply this new method to the interpretation of near-field elastic wave forms such as those relevant to the detection of subterranean…

## 75 Citations

A linear sampling method for the inverse transmission problem in near-field elastodynamics

- Mathematics
- 2006

Elastic-wave shape reconstruction of buried penetrable scatterers from near-field surface measurements is examined within the framework of the linear sampling method. The proposed inversion scheme is…

A linear sampling method for inverse scattering stodynamics elastodynamics problems in the time domain elastodynamics problems in the time domain

- Mathematics
- 2012

This paper, deals with detecting and identifying unknown scatters (e.g., obstacles) in an elastic background solid through the use of elastic illuminating waves. In this regards, the Linear Sampling…

A linear sampling approach to inverse elastic scattering in piecewise-homogeneous domains

- Mathematics
- 2007

The focus of this study is a 3D inverse scattering problem underlying non-invasive reconstruction of piecewise-homogeneous (PH) defects in a layered semi-infinite solid from near-field, surface…

Apposition of the topological sensitivity and linear sampling approaches to inverse scattering

- Mathematics
- 2013

Near-field imaging of small perturbed obstacles for elastic waves

- Mathematics
- 2015

Consider an elastically rigid obstacle which is buried in a homogeneous and isotropic elastic background medium. The obstacle is illuminated by an arbitrary time-harmonic elastic incident wave. This…

Elastic Scatterer Reconstruction via the Adjoint Sampling Method

- MathematicsSIAM J. Appl. Math.
- 2007

It is shown that the adjoint statement elevates the performance of the linear sampling method when dealing with scarce illuminating sources and that a combined use of the existing formulation together with its adjoint counterpart represents an effective tool for exposing an undersam...

Generalized topological derivative for the Navier equation and inverse scattering in the time domain

- Mathematics
- 2008

The factorization method in inverse elastic scattering from penetrable bodies

- Mathematics
- 2006

The present work is concerned with the extension of the factorization method to the inverse elastic scattering problem by penetrable isotropic bodies embedded in an isotropic host environment for…

The linear sampling method for the transmission problem in 2D anisotropic elasticity

- Mathematics
- 2006

In the present work, the problem of reconstructing the shape of two-dimensional elastic anisotropic inclusions embedded in isotropic media is investigated within the framework of the linear sampling…

Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework

- MathematicsJ. Comput. Phys.
- 2009

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