A sequential algorithm and error sensitivity analysis for the inverse heat conduction problems with multiple heat sources

DOI10.1016/j.apm.2010.11.015zbMath1219.80109OpenAlexW2049305302MaRDI QIDQ636499

Shih-Ming Lin

Publication date: 28 August 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.11.015

zbMATH Keywords

inverse heat conduction problemserror sensitivitysequential function specification method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (3)

Simultaneous determination for a space-dependent heat source and the initial data by the MFS ⋮ Identification of release sources in advection-diffusion system by machine learning combined with Green's function inverse method ⋮ An inverse heat conduction problem of estimating the multiple heat sources for mould heating system of the injection machine

Uses Software

• IMSL Numerical Libraries

Cites Work

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• Application of grey prediction to inverse nonlinear heat conduction problem
• A modified sequential approach for solving inverse heat conduction problems
• A modified sequential function specification finite element-based method for parabolic inverse heat conduction problems

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