An integral solution for the inverse heat conduction problem after the method of Weber

DOI10.1016/0898-1221(88)90070-3zbMath0642.65079OpenAlexW2092190146MaRDI QIDQ1101195

Diego A. Murio, C. C. Roth

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90070-3

zbMATH Keywords

algorithmstabilitynoisy datanumerical experimentsintegral representationill-posed probleminverse heat conduction problemError boundsWeber's hyperbolic approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)

Related Items (5)

An integral solution for the inverse heat conduction problem after the method of Weber ⋮ The mollification method and the numerical solution of the inverse heat conduction problem by finite differences ⋮ A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry ⋮ A stable space marching finite differences algorithm for the inverse heat conduction problem with no initial filtering procedure ⋮ Mollified hyperbolic method for coefficient identification problems

Cites Work

• An integral solution for the inverse heat conduction problem after the method of Weber
• Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem
• Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side
• Analysis and solution of the ill-posed inverse heat conduction problem
• Wave concepts in the theory of heat
• Combined function specification-regularization procedure for solution of inverse heat conduction problem
• A Stable Approach to Solving One-Dimensional Inverse Problems
• The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem
• Determining Surface Temperatures from Interior Observations
• ONE-DIMENSIONAL NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE
• Least Squares Methods for Ill-Posed Problems with a Prescribed Bound
• On the necessity of nearly-best-possible methods for analytic continuation of scattering data
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