An efficient algorithm for solving the inverse problem of locating the interfaces using the frequency sounding data.

DOI10.1006/jcph.2002.7200zbMath1057.86010OpenAlexW2021863767MaRDI QIDQ1868597

Alexandre Timonov, Michael V. Klibanov

Publication date: 28 April 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2002.7200

zbMATH Keywords

Riccati equationinverse coefficient problemlocating the interfacesMT frequency sounding

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Computational methods for problems pertaining to geophysics (86-08) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Uses Software

• Global Optimization Toolbox For Maple

Cites Work

• Global optimization methods for multimodal inverse problems
• Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications
• Best approximation of linear operators
• A new slant on the inverse problems of electromagnetic frequency sounding: ‘convexification’ of a multiextremal objective function via the Carleman weight functions
• Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem
• Global Convexity in a Three-Dimensional Inverse Acoustic Problem
• A sequential minimization algorithm based on the convexification approach
• Layer Stripping for the Helmholtz Equation
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