A domain derivative-based method for solving elastodynamic inverse obstacle scattering problems
From MaRDI portal
Publication:3458216
DOI10.1088/0266-5611/31/11/115006zbMath1329.35353OpenAlexW2272057833MaRDI QIDQ3458216
Publication date: 18 December 2015
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/31/11/115006
Related Items
The inverse scattering problem by an elastic inclusion ⋮ Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem ⋮ The fluid-solid interaction scattering problem with unknown buried objects ⋮ Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization ⋮ Live load matrix recovery from scattering data in linear elasticity ⋮ Inverse Obstacle Scattering for Elastic Waves with Phased or Phaseless Far-Field Data ⋮ Numerical Solution of an Inverse Obstacle Scattering Problem for Elastic Waves via the Helmholtz Decomposition ⋮ Fast inverse elastic scattering of multiple particles in three dimensions*
Cites Work
- Unnamed Item
- Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators
- Shape derivatives of boundary integral operators in electromagnetic scattering. II: Application to scattering by a homogeneous dielectric obstacle
- A high order spectral algorithm for elastic obstacle scattering in three dimensions
- Integral equations for transmission problems in linear elasticity
- Identification of sound-soft 3D obstacles from phaseless data
- Spectral problems for the Lamé system with spectral parameter in boundary conditions on smooth or nonsmooth boundary.
- A high-order algorithm for obstacle scattering in three dimensions
- Fast methods for three-dimensional inverse obstacle scattering problems
- Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle
- The domain derivative of time-harmonic electromagnetic waves at interfaces
- On the use of Lamb modes in the linear sampling method for elastic waveguides
- A linear sampling method for the inverse transmission problem in near-field elastodynamics
- The factorization method in inverse elastic scattering from penetrable bodies
- A Hybrid High-Order Algorithm for Radar Cross Section Computations
- Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
- On Single Integral Equations for the Transmission Problem of Acoustics
- Transmission problems for the Helmholtz equation
- The domain derivative and two applications in inverse scattering theory
- A Newton-type method for a transmission problem in inverse scattering
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- On the Far Field in Obstacle Scattering
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
- On the far-field operator in elastic obstacle scattering
- Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
- A simple method using Morozov's discrepancy principle for solving inverse scattering problems
- The linear sampling method for the transmission problem in three-dimensional linear elasticity
- A simple method for solving inverse scattering problems in the resonance region
- On the Fréchet Derivative for Obstacle Scattering with an Impedance Boundary Condition
- Frechet derivatives in inverse obstacle scattering
- On the Frechet differentiability of boundary integral operators in the inverse elastic scattering problem
- On the Fréchet Derivative in Elastic Obstacle Scattering
- Some inverse problems arising from elastic scattering by rigid obstacles
- A Second Degree Method for Nonlinear Inverse Problems
- Well‐conditioned boundary integral formulations for high‐frequency elastic scattering problems in three dimensions
- The factorization method for inverse elastic scattering from periodic structures
