Restoring boundary conditions in heat conduction

DOI10.1007/s10665-007-9192-0zbMath1153.80005OpenAlexW2088452330MaRDI QIDQ954136

Daniel Lesnic, T. T. M. Onyango, Derek B. Ingham

Publication date: 10 November 2008

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

Full work available at URL: https://doi.org/10.1007/s10665-007-9192-0

zbMATH Keywords

inverse problemsheat conductionboundary-element method

Mathematics Subject Classification ID

Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (12)

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation ⋮ Identification of a boundary conditionin the heat and mass transfer problems ⋮ Reconstruction of boundary condition laws in heat conduction using the boundary element method ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem ⋮ Recovering of the Heat Transfer Coefficient from the Temperature Measurements ⋮ Determination of the heat transfer coefficient in mathematical models of heat and mass transfer ⋮ Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE ⋮ Reconstruction of heat transfer coefficients using the boundary element method ⋮ Inverse reconstruction of boundary condition coefficients in one-dimensional transient heat conduction ⋮ Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature ⋮ Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method

Cites Work

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• Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: numerical and experimental results
• The boundary-element method for the determination of a heat source dependent on one variable
• An inverse source problem for the convection‐diffusion equation
• Combined function specification-regularization procedure for solution of inverse heat conduction problem
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• An iterative boundary element method for solving the one-dimensional backward heat conduction problem
• Use of the boundary element method to determine the thermal conductivity tensor of an anisotropic medium.

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