A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction

DOI10.1108/09615530310482436zbMath1057.80004OpenAlexW2037432820MaRDI QIDQ4467619

L. Elliott, Derek B. Ingham, Nicolae S. Mera, Daniel Lesnic

Publication date: 10 June 2004

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530310482436

Mathematics Subject Classification ID

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A new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems ⋮ Application of the RBF method to the estimation of temperature on the external surface in laminar pipe flow ⋮ The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation ⋮ Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity ⋮ An iterative algorithm for a Cauchy problem in eddy-current modelling ⋮ Iterative methods for solving a nonlinear boundary inverse problem in glaciology ⋮ On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain

Cites Work

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• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
• The Cauchy problem for Laplace's equation via the conjugate gradient method

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