Optimal hybrid parameter selection for stable sequential solution of inverse heat conduction problem

International Journal of Heat and Mass Transfer(2022)

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摘要
•An iterative hybrid parameter (α and β) selection algorithm is proposed for stable sequential solution of inverse heat conduction problem.•The proposed ridge estimator is based on the sum of the bias and variance errors of the heat flux.•A new stability condition is also presented to select β by separately control the stability of input and initial errors.
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关键词
Inverse heat conduction problem,Tikhonov regularization,Hybrid parameter selection,Ridge estimator,Finite element method,Euler time integrator,Morozov discrepancy principle
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