377
Views
23
CrossRef citations to date
0
Altmetric
Original Articles

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

, &
Pages 411-431 | Received 14 Aug 2004, Accepted 29 Dec 2004, Published online: 26 Jan 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

Hongsun Fu, Hongyu Qi & Ran Hua. (2021) Combining adaptive dictionary learning with nonlocal similarity for full-waveform inversion. Inverse Problems in Science and Engineering 29:13, pages 3148-3166.
Read now
Jingjun Zhao & Tao Liu. (2015) A wavelet multiscale-adaptive homotopy method for the inverse problem of nonlinear diffusion equation. Inverse Problems in Science and Engineering 23:4, pages 617-634.
Read now
Jingjun Zhao, Tao Liu & Songshu Liu. (2013) An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation. Inverse Problems in Science and Engineering 21:4, pages 585-604.
Read now
Y. Liu, B. Han & Y.X. Dou. (2008) A homotopy-projection method for the parameter estimation problems. Inverse Problems in Science and Engineering 16:2, pages 141-157.
Read now

Articles from other publishers (19)

Ping Ping, Risheng Chu, Yu Zhang & Qiu Zeng. (2023) A homotopy inversion method for Rayleigh wave dispersion data. Journal of Applied Geophysics 209, pages 104914.
Crossref
Tao Liu. (2022) Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation. Journal of Computational and Applied Mathematics 413, pages 114393.
Crossref
Tao Liu, Runqi Xue, Chao Liu & Yunfei Qi. (2021) A Regularization Homotopy Strategy for the Constrained Parameter Inversion of Partial Differential Equations. Entropy 23:11, pages 1480.
Crossref
Christophe Roman, Francesco Ferrante & Christophe Prieur. (2021) Parameter Identification of a Linear Wave Equation From Experimental Boundary Data. IEEE Transactions on Control Systems Technology 29:5, pages 2166-2179.
Crossref
Morten Jakobsen, Xingguo Huang & Ru-Shan Wu. (2020) Homotopy analysis of the Lippmann–Schwinger equation for seismic wavefield modelling in strongly scattering media. Geophysical Journal International 222:2, pages 743-753.
Crossref
İbrahim TEKİN. (2020) Zamana bağlı potansiyeli olan dikdörtgen bir zarın zorlanmış çapraz titreşimi için bir ters problem. Deu Muhendislik Fakultesi Fen ve Muhendislik 22:65, pages 599-610.
Crossref
Morten Jakobsen, Ru-Shan Wu & Xingguo Huang. (2020) Convergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approaches. Journal of Computational Physics 409, pages 109343.
Crossref
Tao Liu. (2020) A multigrid–homotopy method for nonlinear inverse problems. Computers & Mathematics with Applications 79:6, pages 1706-1717.
Crossref
Minghui Liu & Fuming Ma. (2019) A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space. Journal of Inverse and Ill-posed Problems 27:4, pages 487-499.
Crossref
Tao Liu. (2016) A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations. Computers & Mathematics with Applications 71:7, pages 1519-1523.
Crossref
Tao Liu. (2016) Reconstruction of a permeability field with the wavelet multiscale–homotopy method for a nonlinear convection–diffusion equation. Applied Mathematics and Computation 275, pages 432-437.
Crossref
Bo Han, Qinglong He, Yong Chen & Yixin Dou. (2014) Seismic Waveform Inversion Using the Finite-Difference Contrast Source Inversion Method. Journal of Applied Mathematics 2014, pages 1-11.
Crossref
Hongsun Fu & Bo Han. (2012) A Galerkin-homotopy method for the distributed parameter estimation problem. A Galerkin-homotopy method for the distributed parameter estimation problem.
Hongsun Fu & Bo Han. (2011) A homotopy strategy for the parameter identification problems of partial differential equations. A homotopy strategy for the parameter identification problems of partial differential equations.
Hongsun Fu & Bo Han. (2011) A homotopy regularization method for nonlinear ill-posed problems. A homotopy regularization method for nonlinear ill-posed problems.
Damian Slota. (2010) The application of the homotopy perturbation method to one-phase inverse Stefan problem. International Communications in Heat and Mass Transfer 37:6, pages 587-592.
Crossref
Ahmad Ghorbani, Christian Camerlynck & Nicolas Florsch. (2009) CR1Dinv: A Matlab program to invert 1D spectral induced polarization data for the Cole–Cole model including electromagnetic effects. Computers & Geosciences 35:2, pages 255-266.
Crossref
Ying He & Bo Han. (2009) A wavelet adaptive-homotopy method for inverse problem in the fluid-saturated porous media. Applied Mathematics and Computation 208:1, pages 189-196.
Crossref
H.S. Fu, B. Han & G.Q. Gai. (2007) A wavelet multiscale–homotopy method for the inverse problem of two-dimensional acoustic wave equation. Applied Mathematics and Computation 190:1, pages 576-582.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.