A boundary integral method for solving inverse heat conduction problem

DOI10.1515/156939406777570987zbMath1110.35103OpenAlexW2133287829MaRDI QIDQ3418641

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Publication date: 5 February 2007

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

Full work available at URL: https://doi.org/10.1515/156939406777570987

zbMATH Keywords

algorithmfundamental solutioninverse heat conduction

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems ⋮ On the identification of the heat conductivity distribution from partial dynamic boundary measurements ⋮ Two-dimensional inverse heat conduction problem in a quarter plane: integral approach ⋮ Determining an unknown boundary condition by an iteration method

Cites Work

• Analysis and solution of the ill-posed inverse heat conduction problem
• A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer
• Application of the boundary element method to inverse heat conduction problems
• Residual-minimization least-squares method for inverse heat conduction
• Reconstruction of small inhomogeneities from boundary measurements
• A numerical study of inverse heat conduction problems
• A fundamental solution method for inverse heat conduction problem
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• Boundary integral solution of the two-dimensional heat equation
• Numerical tools for analysis and solution of Fredholm integral equations of the first kind
• On the numerical solution of an inverse boundary value problem for the heat equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Approximate inverse for a one-dimensional inverse heat conduction problem
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