A numerical reconstruction method in inverse elastic scattering
DOI10.1080/17415977.2016.1273919zbMath1390.74030OpenAlexW2568549288MaRDI QIDQ4638142
Vassilios Sevroglou, George Pelekanos, Koung Hee Leem, Juliano B. Francisco, Fermin S. Viloche Bazán
Publication date: 3 May 2018
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2016.1273919
factorization methodinverse elastic scattering problemsimproved maximum product criterion (IMPC)reciprocity gap functional (RGF)
Ill-posedness and regularization problems in numerical linear algebra (65F22) Classical linear elasticity (74B05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Linear integral equations (45A05) Boundary value problems for second-order elliptic systems (35J57)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A maximum product criterion as a Tikhonov parameter choice rule for Kirsch's factorization method
- A boundary integral equations approach for mixed impedance problems in elasticity
- On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales
- Inverse acoustic and electromagnetic scattering theory.
- Two-dimensional elastic Herglotz functions and their applications in inverse scattering
- Inverse scattering by penetrable objects in two-dimensional elastodynamics
- Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems
- Stroh formalism and Rayleigh waves
- Using the linear sampling method and an improved maximum product criterion for the solution of the electromagnetic inverse medium problem
- Linear sampling methods for 2D inverse elastic wave scattering
- An inverse scattering problem for a partially coated buried obstacle
- The factorization method in inverse elastic scattering from penetrable bodies
- Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity
- Mixed impedance transmission problems for vibrating layered elastic bodies
- 3D elastic scattering theorems for point-generated dyadic fields
- Uniqueness in inverse elastic scattering with finitely many incident waves
- An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Uniqueness theorems in inverse obstacle scattering of elastic waves
- On the far-field operator in elastic obstacle scattering
- A simple method using Morozov's discrepancy principle for solving inverse scattering problems
- The (F*F)1/4-method for the transmission problem in two-dimensional linear elasticity
- An application of the reciprocity gap functional to inverse scattering theory
- The far-field operator for penetrable and absorbing obstacles in 2D inverse elastic scattering
- A simple method for solving inverse scattering problems in the resonance region
- Some inverse problems arising from elastic scattering by rigid obstacles
- An inversion algorithm in two-dimensional elasticity
- Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers
This page was built for publication: A numerical reconstruction method in inverse elastic scattering