A comparison of some inverse methods for estimating the initial condition of the heat equation
type: Item
instance of: scholarly article
title: A comparison of some inverse methods for estimating the initial condition of the heat equation
zbMATH Open document ID: 0952.65068
DOI: 10.1016/S0377-0427(98)00249-0
author: Wagner Barbosa Muniz
author: Fernando M. Ramos
author: Haroldo F. de Campos Velho
published in: Journal of Computational and Applied Mathematics
publication date: 2001-01-02T00:00:00Z
review text: Two explicit methods for the solution of an inverse heat conduction problem are analyzed. The authors confront them with the least-squares method, using for the solution of the associated direct problem a classical finite difference method and a method based on an integral formulation. Finally, the Tikhonov regularization connected with the least-squares criterion is examined. It is shown that the explicit approaches to this inverse heat conduction problem will present disastrous results unless some kind of regularization is used.
reviewed by: Violeta A. Kostova
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 1331043
zbMATH Keywords: inverse problems
zbMATH Keywords: least-squares method
zbMATH Keywords: specral formulation
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: inverse heat conduction problem
zbMATH Keywords: finite difference method
describes a project that uses: e04ucf
describes a project that uses: nag
MaRDI profile type: Publication
cites work: Q3771806
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full work available at URL: s0377-0427(98)00249-0
OpenAlex ID: W2170632439
description: scientific article; zbMATH DE number 1331043