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Inverse Problems in Science and Engineering Volume 22, 2014 - Issue 4
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Articles

Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method

Jingjun ZhaoDepartment of Mathematics, Harbin Institute of Technology, Harbin, China.Correspondence[email protected]
,
Tao LiuDepartment of Mathematics, Harbin Institute of Technology, Harbin, China.
&
Songshu LiuDepartment of Mathematics, Harbin Institute of Technology, Harbin, China.
Pages 507-529 | Received 31 Aug 2012, Accepted 18 Mar 2013, Published online: 16 May 2013

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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.
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Articles from other publishers (7)

Tao Liu, Di Ouyang, Lianjun Guo, Ruofeng Qiu, Yunfei Qi, Wu Xie, Qiang Ma & Chao Liu. (2023) Combination of Multigrid with Constraint Data for Inverse Problem of Nonlinear Diffusion Equation. Mathematics 11:13, pages 2887.
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Tao Liu, Zijian Ding, Jiayuan Yu & Wenwen Zhang. (2023) Parameter Estimation for Nonlinear Diffusion Problems by the Constrained Homotopy Method. Mathematics 11:12, pages 2642.
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Tao Liu. (2022) Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation. Journal of Computational and Applied Mathematics 413, pages 114393.
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Wang Shuai, Xu Baiyan & Liu Tao. (2020) A Conjugate Gradient Method for Inverse Problems of Non-linear Coupled Diffusion Equations. Journal of Physics: Conference Series 1634:1, pages 012165.
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Tao Liu. (2018) An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation. Journal of Inverse and Ill-posed Problems 26:5, pages 623-631.
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Tao Liu. (2018) A wavelet multiscale method for the inverse problem of a nonlinear convection–diffusion equation. Journal of Computational and Applied Mathematics 330, pages 165-176.
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Fabien Dubot, Yann Favennec, Benoit Rousseau & Daniel R. Rousse. (2015) A wavelet multi-scale method for the inverse problem of diffuse optical tomography. Journal of Computational and Applied Mathematics 289, pages 267-281.
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