Reconstruction of time-dependent coefficients from heat moments

DOI10.1016/j.amc.2016.12.028zbMath1411.80003DBLPjournals/amc/HuntulLH17OpenAlexW2570635307WikidataQ57948724 ScholiaQ57948724MaRDI QIDQ1735269

M. S. Hussein, M. J. Huntul, Daniel Lesnic

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/109850/1/kaya.pdf

zbMATH Keywords

inverse problemheat transferTikhonov's regularizationheat moments

Mathematics Subject Classification ID

Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (9)

Reconstruction of space-dependent potential and/or damping coefficients in the wave equation ⋮ Unnamed Item ⋮ The inverse problem of simultaneous determination of the two time-dependent lower coefficients in a nondivergent parabolic equation in the plane ⋮ Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator ⋮ Convolution kernel determination problem for the time-fractional diffusion equation ⋮ Problem of determining the reaction coefficient in a fractional diffusion equation ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions ⋮ Reconstruction of a heat equation from one point observations ⋮ Recovery of a degenerate space-dependent heat capacity

Uses Software

• Matlab

Cites Work

• Simultaneous determination of time-dependent coefficients in the heat equation
• Multi-parameter regularization and its numerical realization
• Simultaneous determination of time and space-dependent coefficients in a parabolic equation
• Parameter Choice Strategies for Multipenalty Regularization
• Efficient determination of multiple regularization parameters in a generalized L-curve framework
• On the uniqueness of the simultaneous determination of thermal conductivity and volume heat capacity
• Determination of a control parameter in a parabolic partial differential equation
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
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