Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems

DOI10.1080/17415977.2017.1391243zbMath1423.35431OpenAlexW2765336643MaRDI QIDQ5240379

Ehab S. Selima, Daijun Jiang, Ammar H. Elsheikh, Ahmed Elazab, Talaat Abdelhamid, S. W. Sharshir

Publication date: 25 October 2019

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

Full work available at URL: https://doi.org/10.1080/17415977.2017.1391243

zbMATH Keywords

inverse heat conduction problemTikhonov's regularizationmodified conjugate gradient methodnumerical reconstruction

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for ordinary differential equations (65L20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (7)

Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem ⋮ Nonlinear conjugate gradient method for identifying Young's modulus of the elasticity imaging inverse problem ⋮ Reconstruction of the heat transfer coefficients and heat fluxes in heat conduction problems ⋮ Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg-Marquardt method ⋮ Estimation of boundary condition of two-dimensional nonlinear PDE with application to continuous casting ⋮ Thermal imaging of time-varying longitudinal defects in the internal coating of a tube ⋮ Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements

Uses Software

• COMSOL
• BOBYQA

Cites Work

• Improvements to single-objective constrained predator-prey evolutionary optimization algorithm
• Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
• Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE
• Reconstruction of heat transfer coefficients using the boundary element method
• Restoring boundary conditions in heat conduction
• Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements
• Influence of the process variables on the temperature distribution in orthogonal machining using the finite element method
• Convective cooling and optimal placement of electronic components with variable ambient temperature. I: The linear model
• Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system
• Real-time identification of a high-magnitude boundary heat flux on a plate
• Numerical identification of a Robin coefficient in parabolic problems
• Identification of nonlinear heat transfer laws from boundary observations
• Numerical estimation of the Robin coefficient in a stationary diffusion equation
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• Determination of the ambient temperature in transient heat conduction
• Simultaneous identification of Robin coefficient and heat flux in an elliptic system
• Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem
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