Fourier analysis of conjugate gradient method applied to inverse heat conduction problems

DOI10.1016/S0017-9310(99)00112-XzbMath0960.65100OpenAlexW2016710168MaRDI QIDQ1973390

Yanyan Li

Publication date: 6 February 2001

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0017-9310(99)00112-x

zbMATH Keywords

convergenceregularizationnumerical examplesvariational methodsconjugate gradient algorithminverse heat conduction problems

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 (6)

Numerical methods for solving a boundary-value inverse heat conduction problem ⋮ An inverse problem in determining the acid and salt diffusivities simultaneously for polymer solution in a wet spinning process ⋮ Solving stationary inverse heat conduction in a thin plate ⋮ Inverse estimation of location of internal heat source in conduction ⋮ Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM) ⋮ An inverse problem in estimating the reaction functions and solute concentration simultaneously in a reversible process

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