The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media

DOI10.1002/nme.1526zbMath1124.80400OpenAlexW2140099577MaRDI QIDQ3440169

Publication date: 21 May 2007

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1526

zbMATH Keywords

inverse problem regularization heat conduction truncated singular value decomposition anisotropic medium the method of fundamental solutions

Mathematics Subject Classification ID

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Related Items (21)

The method of fundamental solutions for the Helmholtz equation ⋮ A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction ⋮ BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction ⋮ Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction ⋮ Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains ⋮ Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ Implementation of a generalized exponential basis functions method for linear and non‐linear problems ⋮ A Technique with a Correction Term for Unsteady State Heat Transfer Problem with Moving Boundary ⋮ Inverse source identification by Green's function ⋮ An extended method of time-dependent fundamental solutions for inhomogeneous heat conduction ⋮ MFS-Fading Regularization Method for Inverse BVPs in Anisotropic Heat Conduction ⋮ Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls ⋮ Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction ⋮ Combinations of the method of fundamental solutions for general inverse source identification problems ⋮ Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style ⋮ The method of fundamental solutions for anisotropic thermoelastic problems ⋮ Solution of Cauchy problem to stationary heat conduction equation by modified method of elementary balances with interpolation of the solution in physical plane ⋮ A survey of applications of the MFS to inverse problems ⋮ Simultaneous determination for a space-dependent heat source and the initial data by the MFS ⋮ Numerical identification for impedance coefficient by a MFS-based optimization method

Cites Work

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