A stable algorithm for 3D-IHCP
type: Item
instance of: scholarly article
title: A stable algorithm for 3D-IHCP
zbMATH Open document ID: 0821.65083
DOI: 10.1016/0898-1221(94)00251-F
author: D. A. Murio
author: H. C. Zheng
publication date: 1995-10-08T00:00:00Z
review text: The numerical solution of a three-dimensional inverse heat conduction problem on an infinite slab is investigated. As known inverse heat conduction problems are severely ill-posed, where the higher-dimensional problems are much more ill-posed (in the high-frequency components) than the lower-dimensional. A mollification procedure is applied, where for the mollified inverse problem the stability and error analysis associated with the well-posed problem is given. Furthermore, the authors develop a fully explicit finite difference scheme for the associated well-posed problem. Finally, a numerical example is discussed.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 746272
zbMATH Keywords: ill-posed problem
zbMATH Keywords: inverse heat conduction problem
zbMATH Keywords: mollification procedure
zbMATH Keywords: stability
zbMATH Keywords: error analysis
zbMATH Keywords: explicit finite difference scheme
zbMATH Keywords: numerical example
reviewed by: S. Handrock-Meyer
MaRDI profile type: Publication
cites work: Q3773268
cites work: Inverse heat-conduction problem by finite-element formulation
cites work: AN ANALYSIS OF TWO-DIMENSIONAL LINEAR INVERSE HEAT TRANSFER PROBLEMS USING AN INTEGRAL METHOD
cites work: A mollified space-marching finite-different algorithm for the two-dimensional inverse heat conduction problem with slab symmetry
cites work: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
cites work: Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem
full work available at URL: 0898-1221(94)00251-f
OpenAlex ID: W2094326927
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 746272