Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation

DOI10.1016/j.camwa.2016.11.004zbMath1368.65215OpenAlexW2559021634MaRDI QIDQ2013716

Yanyan Li

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.11.004

zbMATH Keywords

inverse problemCauchy problemHelmholtz equationTikhonov regularizationill-posed problemadjoint method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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Method for recovering boundary data in a two-dimensional Poisson equation on annular domain ⋮ Analysis of Dirichlet-Robin iterations for solving the Cauchy problem for elliptic equations ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Solving stationary inverse heat conduction in a thin plate ⋮ Artificial neural network approximations of Cauchy inverse problem for linear PDEs ⋮ On numerical resolution of an inverse Cauchy problem modeling the airflow in the bronchial tree ⋮ Robin–Dirichlet algorithms for the Cauchy problem for the Helmholtz equation ⋮ Solution of the Cauchy problem for the wave equation using iterative regularization

Uses Software

• Regularization tools
• UTV

Cites Work

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