The solution of a nonlinear inverse problem in heat transfer

DOI10.1093/imamat/50.2.113zbMath0773.35084OpenAlexW1996263716MaRDI QIDQ4202146

Y. Yuan, Derek B. Ingham

Publication date: 31 August 1993

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

Full work available at URL: https://doi.org/10.1093/imamat/50.2.113

zbMATH Keywords

boundary element methodLaplace equationminimal energy constraintsteady-state temperature distributiontemperature depending thermal conductivity

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for integral equations (65R30) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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A boundary element method for the determination of the transmissivity of a heterogeneous aquifer in groundwater flow systems ⋮ A numerical approach to solving an inverse heat conduction problem using the Levenberg-Marquardt algorithm ⋮ Identification of transient boundary conditions with improved cuckoo search algorithm and polynomial approximation

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