On the reconstruction of boundary impedance of a heat conduction system from nonlocal measurement

DOI10.1088/0266-5611/32/7/075002zbMath1355.65126OpenAlexW2346859530MaRDI QIDQ3188781

Yuchan Wang, Jijun Liu

Publication date: 12 August 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/7/075002

zbMATH Keywords

stabilityparameter estimationinverse problemTikhonov regularizationnumerical experimentboundary impedanceRobin impedance coefficientsideways heat conduction problem

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Identification of the boundary heat transfer coefficient from interior measurement of temperature field ⋮ On the simultaneous recovery of boundary heat transfer coefficient and initial heat status ⋮ Identification of non-smooth boundary heat dissipation by partial boundary data ⋮ Reconstruction of the heat transfer coefficients and heat fluxes in heat conduction problems ⋮ Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation ⋮ On the cavity detection in a heat conductive medium from time-average boundary temperature measurement ⋮ Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature ⋮ On the simultaneous reconstruction of boundary Robin coefficient and internal source in a slow diffusion system

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