A widely convergent method for determining the distributed parameters of the elliptical equation

DOI10.1016/0096-3003(94)90100-7zbMath0789.65088OpenAlexW2004421894MaRDI QIDQ1316121

Baoqi Guo, Jiqun Shao, Bo Han

Publication date: 10 April 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90100-7

zbMATH Keywords

numerical resultsinverse problemparameter identificationNewton-like methodelliptic partial differential equationsnonlinear operator equationprinciple of continuation homotopy

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Inverse problems for PDEs (35R30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Applications to the sciences (65Z05)

Related Items

A wavelet multiscale-adaptive homotopy method for the inverse problem of 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 wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations ⋮ A homotopy method for the inversion of a two-dimensional acoustic wave equation ⋮ Application of the decomposition method to identify the distributed parameters of an elliptical 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

• Iterative algorithms for nonlinear problems in remote sensing
• An Iterative Algorithm for Solving Inverse Problems of Two-Dimensional Diffusion Equations
• A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations
• Iterative Solution of Nonlinear Equations in Several Variables