Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem

DOI10.1080/17415970903234273zbMath1186.65132OpenAlexW2092596790MaRDI QIDQ5852180

T. T. M. Onyango, Daniel Lesnic, Marián Slodička

Publication date: 26 January 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970903234273

zbMATH Keywords

boundary element methodheat transfer coefficientboundary condition of third kindnonlinear inverse heat conduction problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Cites Work

• Unnamed Item
• Unnamed Item
• Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements
• Reconstruction of time-dependent boundary heat flux by a BEM-based inverse algorithm
• Inverse heat conduction problem of determining time dependent heat transfer coefficient
• Retrieval of multidimensional heat transfer coefficient distributions using an inverse BEM-based regularized algorithm: numerical and experimental results
• Recovery of the transient heat transfer coefficient in the nonlinear boundary value problem for the heat equation
• Investigation of heat transfer coefficient in two-dimensional transient inverse heat conduction problems using the hybrid inverse scheme
• Determination of the Robin coefficient in a nonlinear boundary condition for a steady-state problem
• Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements

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