Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem

DOI10.1016/0377-0427(88)90286-5zbMath0645.65085OpenAlexW2019978234MaRDI QIDQ1103357

Diego A. Murio

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90286-5

zbMATH Keywords

stabilitynumerical resultsnoisy datainverse heat conduction problemregularization methodsFourier filtering

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for trigonometric approximation and interpolation (65T40) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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The space marching solution of the inverse heat conduction problem and the identification of the initial temperature distribution ⋮ An integral solution for the inverse heat conduction problem after the method of Weber ⋮ Combined mollification - future temperatures procedure for solution of inverse heat conduction problem ⋮ The mollification method and the numerical solution of the inverse heat conduction problem by finite differences ⋮ Approximate inverse method for stable analytic continuation in a strip domain ⋮ A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ Numerical identification of interface source functions in heat transfer problems under nonlinear boundary conditions ⋮ A stable algorithm for 3D-IHCP

Cites Work

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• Analysis and solution of the ill-posed inverse heat conduction problem
• Combined function specification-regularization procedure for solution of inverse heat conduction problem
• The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem
• A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems
• ONE-DIMENSIONAL NONLINEAR INVERSE HEAT CONDUCTION TECHNIQUE