Numerical identification of interface source functions in heat transfer problems under nonlinear boundary conditions

DOI10.1016/0898-1221(92)90008-6zbMath0772.65089OpenAlexW2023708039MaRDI QIDQ1205905

Diego A. Murio

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90008-6

zbMATH Keywords

nonlinearfinite differenceill-posed probleminverse heat conduction problemnonlinear heat transferstability boundsmollification methodNewton cooling lawStefan-Boltzmann radiation law

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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A novel approach to solve inverse heat conduction problems: coupling scaled boundary finite element method to a hybrid optimization algorithm ⋮ Reconstruction of the heat transfer coefficient at the interface of a bi-material

Cites Work

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