Two regularization methods for an axisymmetric inverse heat conduction problem

DOI10.1515/JIIP.2009.014zbMath1160.35546OpenAlexW2046511831MaRDI QIDQ3619678

Wei Cheng, Chu-Li Fu Fu

Publication date: 8 April 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2009.014

zbMATH Keywords

regularizationerror estimateill-posed problemaxisymmetric inverse heat conduction problem

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Cauchy problem for the Laplace equation in cylinder domain, Identifying an unknown source term in radial heat conduction, Regularization method for the radially symmetric inverse heat conduction problem, Numerical pseudodifferential operator and Fourier regularization, A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain, Regularization and error estimate for a spherically symmetric backward heat equation

Cites Work

• Wavelet and error estimation of surface heat flux
• A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem
• Optimal Tikhonov approximation for a sideways parabolic equation
• Numerical solution to a two-dimensional inverse heat conduction problem
• Determining Surface Temperatures from Interior Observations
• Optimal stable approximations for the sideways heat equation
• A spectral method for solving the sideways heat equation
• Estimation of surface temperature in two-dimensional inverse heat conduction problems