A homotopy method for nonlinear inverse problems

DOI10.1016/j.amc.2006.05.139zbMath1105.65327OpenAlexW2013676334MaRDI QIDQ865582

N. E. Zubov

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.139

zbMATH Keywords

convergencenumerical exampleshomotopy methodTikhonov regularizationacoustic wave equationnonlinear inverse problemsnormal equationgeophysical prospecting

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Wave equation (35L05) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Potentials, prospecting (86A20)

Related Items (3)

A wavelet multiscale-homotopy method for the inverse problem of two-dimensional acoustic wave equation ⋮ A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

Cites Work

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• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Regularization and trade-off associated with nonlinear geophysical inverse problems: penalty homotopies
• Some Newton-type methods for the regularization of nonlinear ill-posed problems
• Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
• Function minimization by conjugate gradients

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