Simultaneously identifying the thermal conductivity and radiative coefficient in heat equation from Dirichlet and Neumann boundary measured outputs

DOI10.1515/jiip-2020-0047zbMath1466.65172OpenAlexW3132426709MaRDI QIDQ2660874

Alemdar Hasanov

Publication date: 31 March 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0047

zbMATH Keywords

heat equationFréchet gradientinverse coefficient problemexistence of a quasi-solutionNeumann-to-Dirichlet and Neumann-to-Neumann operatorsTikhonov functional of two functions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) Weak solutions to PDEs (35D30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

Related Items (4)

Numerical identification of initial temperatures in heat equation with dynamic boundary conditions ⋮ Identification of source terms in heat equation with dynamic boundary conditions ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions ⋮ Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem

Cites Work

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• Applied functional analysis. Main principles and their applications
• A gradient descent method for solving an inverse coefficient heat conduction problem
• Determining conductivity by boundary measurements
• An Inverse Problem for a Nonlinear Diffusion Equation
• Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
• Introduction to Inverse Problems for Differential Equations
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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