Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions

DOI10.1080/17415977.2020.1814282zbMath1473.65166OpenAlexW3083106948MaRDI QIDQ5152256

M. J. Huntul

Publication date: 17 September 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2020.1814282

zbMATH Keywords

inverse problemnonlinear optimizationtwo-dimensional heat equationthermal conductivitylocal heat flux conditions

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order ⋮ An inverse problem of reconstructing the time-dependent coefficient in a one-dimensional hyperbolic equation ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions ⋮ Space-dependent heat source determination problem with nonlocal periodic boundary conditions

Uses Software

• Matlab
• Optimization Toolbox

Cites Work

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• Estimation of thermal properties of materials with application for inflatable spacecraft structure testing
• Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
• Simultaneous determination of spatially varying thermal conductivity and specific heat using boundary temperature measurements
• On the stability of alternating‐direction explicit methods for advection‐diffusion equations

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