An inverse boundary problem for one-dimensional heat equation with a multilayer domain

DOI10.1016/j.enganabound.2008.04.006zbMath1244.80005OpenAlexW2020110110MaRDI QIDQ443398

Ting Wei, Yu-Shan Li

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.04.006

zbMATH Keywords

heat equationTikhonov regularizationinverse boundary problemmultilayer domainthe fundamental solutions

Mathematics Subject Classification ID

Related Items (18)

Moving boundary identification for a two-dimensional inverse heat conduction problem ⋮ A local meshless collocation method for solving certain inverse problems ⋮ The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient ⋮ On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems ⋮ Inverse source identification by Green's function ⋮ Application of the RBF method to the estimation of temperature on the external surface in laminar pipe flow ⋮ Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls ⋮ A Trefftz method in space and time using exponential basis functions: application to direct and inverse heat conduction problems ⋮ A survey of applications of the MFS to inverse problems ⋮ An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation ⋮ The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain ⋮ A one-dimensional inverse problem in composite materials: regularization and error estimates ⋮ The inverse methods based on S-FEMs with an adaptive SVD regularization technique for solving Cauchy inverse heat transfer problems ⋮ Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain ⋮ Inverse Problems for Time-Dependent Singular Heat Conductivities: Multi-Dimensional Case ⋮ Modeling of evolution of growing coating composition

Uses Software

• Regularization tools

Cites Work

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