A new front surface heat flux calibration method for a 1-D nonlinear thermal system with a time-varying back boundary condition

DOI10.1007/s10665-016-9888-0zbMath1390.80010OpenAlexW2582568583MaRDI QIDQ1700583

Yin Yuan Chen, Jay I. Frankel, Majid Keyhani

Publication date: 7 March 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-016-9888-0

zbMATH Keywords

inverse problemrescalingnonlinear heat equationcalibrationTikhonov regularizationvarying back boundary condition

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Volterra integral equations (45D05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

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Cites Work

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• Analytical method in inverse heat transfer problem using Laplace transform technique
• A new nonlinear surface heat flux calibration method based on Kirchhoff transformation and rescaling principles
• Filter solutions for the nonlinear inverse heat conduction problem
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Full convergence of sequential local regularization methods for Volterra inverse problems
• Solution to inverse heat conduction problems employing singular value decomposition and model-reduction