Inverse heat-conduction problem by finite-element formulation

DOI10.1080/00207728508926757zbMath0614.65130OpenAlexW2033419010MaRDI QIDQ4721601

Kazushige Ikuta, Toshio Yoshimura

Publication date: 1985

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728508926757

zbMATH Keywords

numerical exampleinverse problemsfinite elementsurface heat fluxheat-conducting

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (9)

Numerical experiments in 2-D IHCP on bounded domains. I: The ``interior cube problem ⋮ Applying differential transformation method to parameter identification problems ⋮ Inverse estimation of heat flux and temperature on nozzle throat-insert inner contour ⋮ A one-dimensional inverse problem in composite materials: regularization and error estimates ⋮ An optimal modified method for a two-dimensional inverse heat conduction problem ⋮ Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain ⋮ A stable algorithm for 3D-IHCP ⋮ An inverse problem approach for estimating the wall heat flux in filmwise condensation on a vertical surface with variable heat flux and body force convection ⋮ Numerical solution of a 2D inverse heat conduction problem

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• The Inverse Problem in Transient Heat Conduction
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