Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods
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Publication:421376
DOI10.1007/s10444-011-9191-6zbMath1238.35190OpenAlexW2021260856MaRDI QIDQ421376
Publication date: 23 May 2012
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9191-6
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05)
Cites Work
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- On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates
- Inverse acoustic and electromagnetic scattering theory.
- Determination of Dirichlet-to-Neumann map for a mixed boundary problem
- Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern
- On the numerical solution of a hypersingular integral equation in scattering theory
- Stability estimates and reconstructions in inverse acoustic scattering using singular sources
- Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
- Obstacle and Boundary Determination from Scattering Data
- On the Accuracy of the Numerical Detection of Complex Obstacles from Far Field Data Using the Probe Method
- A Numerical Study of the Probe Method
- Recovery of multiple obstacles by probe method
- Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
- The Cauchy Data and the Scattering Amplitude
- The numerical realization of the probe method for the inverse scattering problems from the near-field data
- Reconstruction of the Shape and Surface Impedance from Acoustic Scattering Data for an Arbitrary Cylinder
- Reconstruction of obstacle from boundary measurements.
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