Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem

DOI10.1016/j.aml.2020.106658zbMath1448.65141OpenAlexW3046588795WikidataQ112880145 ScholiaQ112880145MaRDI QIDQ2006352

Yuchan Wang, Qun Chen, Bin Wu

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106658

zbMATH Keywords

optimizationtotal variationinverse problemregularizationheat transfer

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Optimization problems in thermodynamics and heat transfer (80M50) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems in optimal control (49N45)

Related Items (1)

\textit{A posteriori} regularization method for the two-dimensional inverse heat conduction problem

Cites Work

• Stability estimate and regularization for a radially symmetric inverse heat conduction problem
• Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme
• A fundamental solution method for inverse heat conduction problem
• A projected iterative method based on integral equations for inverse heat conduction in domains with a cut
• Numerical identification of a Robin coefficient in parabolic problems
• Global time method for inverse heat conduction problem
• An 'optimal filtering' method for the sideways heat equation
• Analysis of bounded variation penalty methods for ill-posed problems
• Solving the sideways heat equation by a wavelet - Galerkin method
• Optimality for ill-posed problems under general source conditions
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Differential-difference regularization for a 2D inverse heat conduction problem
• Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain
• Numerical Reconstruction of Heat Fluxes

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