Numerical solution for an inverse heat source problem by an iterative method

DOI10.1016/j.amc.2014.07.038zbMath1336.65157OpenAlexW1993494858MaRDI QIDQ278410

Cong Shi, Ting Wei, Chen Wang

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.038

zbMATH Keywords

convergence ratessuccessive approximation methodill-posed probleminverse heat source

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (5)

A meshless method for solving 1D time-dependent heat source problem ⋮ A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem ⋮ A Tikhonov regularization method for solving an inverse heat source problem ⋮ Reconstruction of multiplicative space- and time-dependent sources ⋮ Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions

Cites Work

• Unnamed Item
• The method of fundamental solutions for the inverse heat source problem
• Inverse problem of time-dependent heat sources numerical reconstruction
• Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation
• The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem
• Application of the variational iteration method to inverse heat source problems
• A meshless method for solving an inverse spacewise-dependent heat source problem
• Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
• A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method
• The determination of two heat sources in an inverse heat conduction problem
• Determination of a spacewise dependent heat source
• A fundamental solution method for inverse heat conduction problem
• The boundary-element method for the determination of a heat source dependent on one variable
• The method of fundamental solutions for the inverse space-dependent heat source problem
• An inverse source problem for the heat equation and the enclosure method
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Conditional stability in determining a heat source
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• On problems of determining the source function in a parabolic equation
• Solving an inverse heat conduction problem using a non-integer identified model

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