Numerical recovery of the 3D potential from fixed energy incomplete scattering data

DOI10.1016/0893-9659(89)90127-4zbMath0705.65087OpenAlexW2023707727MaRDI QIDQ918166

Alexander G. Ramm

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90127-4

zbMATH Keywords

inverse problemHelmholtz equationfixed energyinverse scattering problemill- posed problemincomplete scattering datanumerical recovery of the 3D potential

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (5)

Numerical solution of some inverse scattering problems of geophysics ⋮ Necessary and sufficient condition for \(L\) to have property \(C\) ⋮ Stability of the inversion of 3D fixed-frequency scattering data ⋮ Uniqueness result for inverse problem of geophysics. II ⋮ Property C and an inverse problem for a hyperbolic equation

Cites Work

• Numerical method for solving 3D inverse scattering problems
• Multidimensional inverse problems and completeness of the products of solutions to PDE
• Recovery of the potential from fixed-energy scattering data
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