A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction

DOI10.1016/j.camwa.2022.06.014OpenAlexW4283785916MaRDI QIDQ2159878

Mihai Bucataru, Iulian Cîmpean, Liviu Marin

Publication date: 2 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.06.014

zbMATH Keywords

anisotropic heat conductioncontrol probleminverse Cauchy problemminimisation problemgradient-based methodfinite-difference method (FDM)

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Variational methods for second-order elliptic equations (35J20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients ⋮ Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction ⋮ A Tikhonov regularization method for Cauchy problem based on a new relaxation model ⋮ A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems

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