A homotopy method for the inversion of a two-dimensional acoustic wave equation

DOI10.1080/17415970500126393zbMath1194.76262OpenAlexW1965309547MaRDI QIDQ3588246

Hongsun Fu, Zhuang Li, Bo Han

Publication date: 10 September 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970500126393

zbMATH Keywords

homotopy methodTikhonov regularizationinverse problems of acoustic wave equations

Mathematics Subject Classification ID

Related Items (13)

A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation ⋮ Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation ⋮ A wavelet multiscale-homotopy method for the inverse problem of two-dimensional acoustic wave equation ⋮ Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation ⋮ A homotopy-projection method for the parameter estimation problems ⋮ A multigrid-homotopy method for nonlinear inverse problems ⋮ A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations ⋮ A wavelet adaptive-homotopy method for inverse problem in the fluid-saturated porous media ⋮ A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space ⋮ Convergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approaches ⋮ Seismic waveform inversion using the finite-difference contrast source inversion method ⋮ Combining adaptive dictionary learning with nonlocal similarity for full-waveform inversion ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

Cites Work

• A widely convergent method for determining the distributed parameters of the elliptical equation
• A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations
• A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization
• Homotopy, polynomial equations, Gross boundary data, and small Helmholtz systems
• Fast Seismic Ray Tracing
• Variable Background Born Inversion by Wavefield Backpropagation
• CONTINUOUS ANALOG OF THE GAUSS–NEWTON METHOD
• Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
• A Multiresolution Method for Distributed Parameter Estimation

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