Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions

DOI10.1007/s10444-009-9131-xzbMath1207.65115OpenAlexW2146502168MaRDI QIDQ609544

Wenbin Chen, Xiang Xu, Xiao-Yi Hu

Publication date: 1 December 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-009-9131-x

zbMATH Keywords

iterative algorithmerror estimatesfinite difference methodcomposite materialsreconstruction algorithminverse heat transferStefan-Boltzmann interface conditiions

Mathematics Subject Classification ID

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

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Cites Work

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• Partial differential equations. 4th ed
• Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
• Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries
• Heat transfer in composite materials with Stefan–Boltzmann interface conditions
• The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. II. Multidimensional Problems
• Boundary estimation problems arising in thermal tomography
• Boundary shape identification problems in two-dimensional domains related to thermal testing of materials
• Stability Estimates in an Inverse Problem for a Three-Dimensional Heat Equation
• Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
• An inverse boundary value problem for the heat equation: the Neumann condition
• An Inverse Problem in Thermal Imaging
• Inverse problems for partial differential equations