Numerical method for solving 3D inverse problems of geophysics

DOI10.1016/0022-247X(88)90090-XzbMath0663.65133OpenAlexW2083417057MaRDI QIDQ1115166

Alexander G. Ramm

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90090-x

zbMATH Keywords

inverse problemHelmholtz equationinverse scatteringrefraction coefficientsurface data inversion

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Geo-electricity and geomagnetism (86A25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Multidimensional inverse problems and completeness of the products of solutions to PDE, Numerical solution of some inverse scattering problems of geophysics, Uniqueness theorems for multidimensional inverse problems with unbounded coefficients, Necessary and sufficient condition for \(L\) to have property \(C\), Modeling and solution of stochastic inverse problems in mathematical physics, Stability of the inversion of 3D fixed-frequency scattering data

Cites Work

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