Solution of inverse heat conduction problems with phase changes by the mollification method
type: Item
instance of: scholarly article
title: Solution of inverse heat conduction problems with phase changes by the mollification method
zbMATH Open document ID: 0772.65090
DOI: 10.1016/0898-1221(92)90153-9
author: D. A. Murio
publication date: 1993-04-01T00:00:00Z
review text: Gewisse freie Randwertprobleme (etwa Schmelzprobleme) lassen sich umformulieren in inverse Wärmeleitprobleme, die allerdings ``ill- posed'' sind. Die vorliegende Arbeit befaßt sich mit der numerischen Behandlung solcher Probleme: Ausgehend von einem Glättungsverfahren wird ein explizites und unbedingt stabiles Differenzenverfahren verwendet, mit dem in Ortsrichtung fortschreitend bis zum freien Rand gerechnet wird. Als Beispiel wird das eindimensionale Stefan-Problem gerechnet. (Die Differenzengleichungen (12) enthalten zwei Vorzeichenfehler).
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 148289
zbMATH Keywords: mollification method
zbMATH Keywords: inverse heat conduction problem
zbMATH Keywords: front-tracking, space marching, finite difference procedure
zbMATH Keywords: melting problems
zbMATH Keywords: Stefan problem
zbMATH Keywords: inverse Stefan problem
zbMATH Keywords: solidification
zbMATH Keywords: ill-posed problem
zbMATH Keywords: nonlinear
reviewed by: K.Finck von Finckenstein
MaRDI profile type: Publication
full work available at URL: 0898-1221(92)90153-9
OpenAlex ID: W2090522447
cites work: The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
cites work: A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry
cites work: Q3281304
cites work: Q5624097
cites work: Q3338613
cites work: The numerical solution of the inverse Stefan problem
cites work: The inverse Stefan problem as a problem of nonlinear approximation theory
published in: Computers & Mathematics with Applications
Recommended article: The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
Recommended article: Combined mollification - future temperatures procedure for solution of inverse heat conduction problem
Recommended article: Q3709214
Recommended article: A variational technique of mollification applied to backward heat conduction problems
Recommended article: Q3028288
Recommended article: Q3981004
Recommended article: Q3842153
Recommended article: The solution of an inverse heat conduction problem subject to the specification of energies
Recommended article: A fundamental solution method for inverse heat conduction problem
Recommended article: Q3386113
description: scientific article; zbMATH DE number 148289