Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data
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Publication:1206201
DOI10.1016/0893-9659(92)90005-TzbMath0760.65114MaRDI QIDQ1206201
Publication date: 1 April 1993
Published in: Applied Mathematics Letters (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45) Applications to the sciences (65Z05) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Numerical method for solving 3D inverse scattering problems
- Uniqueness theorems for multidimensional inverse problems with unbounded coefficients
- An approximation problem
- Stability of the solution to inverse scattering problem with exact data
- Inverse scattering with fixed-energy data
- Stability estimates in inverse scattering
- Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data
- Stability of the solution to 3D fixed-energy inverse scattering problem
- Stability of the inversion of 3D fixed-frequency scattering data
- Stability of the inverse problem in potential scattering at fixed energy
- Completeness of the products of solutions of PDE and inverse problems
- Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data.
- Recovery of the potential from fixed-energy scattering data
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