Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain

DOI10.1080/17415977.2013.788168zbMath1308.65161OpenAlexW2314282938MaRDI QIDQ5244935

Benny Y. C. Hon, Xiang-Tuan Xiong

Publication date: 1 April 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.788168

zbMATH Keywords

error estimateinverse heat conduction problemill-posednessregularization technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (5)

A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs ⋮ A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain ⋮ Stability estimate and regularization for a radially symmetric inverse heat conduction problem ⋮ Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem ⋮ A one-dimensional inverse problem in composite materials: regularization and error estimates

Cites Work

• An inverse boundary problem for one-dimensional heat equation with a multilayer domain
• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• Fourier regularization method of a sideways heat equation for determining surface heat flux
• A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry
• Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions
• A multi-layer porous wall model for coronary drug-eluting stents
• Diffusion of thermal disturbances in two-dimensional Cartesian transient heat conduction
• Stabilization of ill-posed Cauchy problems for parabolic equations
• Analysis and solution of the ill-posed inverse heat conduction problem
• A mollification method for ill-posed problems
• Numerical experiments in 2-D IHCP on bounded domains. I: The ``interior cube problem
• Stable numerical solution of a fractional-diffusion inverse heat conduction problem
• A mollified space-marching finite-different algorithm for the two-dimensional inverse heat conduction problem with slab symmetry
• Hyperbolic approximations for a Cauchy problem for the heat equation
• Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation
• Approximations for a Cauchy problem for the heat equation
• AN ANALYSIS OF TWO-DIMENSIONAL LINEAR INVERSE HEAT TRANSFER PROBLEMS USING AN INTEGRAL METHOD
• Determining Surface Temperatures from Interior Observations
• A noncharacteristic cauchy problem for linear parabolic equations II: a variational method
• On a sideways parabolic equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation
• Inverse heat-conduction problem by finite-element formulation
• Numerical solution of the sideways heat equation by difference approximation in time

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