A numerical study of inverse heat conduction problems
type: Item
instance of: scholarly article
title: A numerical study of inverse heat conduction problems
zbMATH Open document ID: 0951.65090
DOI: 10.1016/S0898-1221(99)00248-5
author: Shih-yu Shen
publication date: 1999-01-01T00:00:00Z
review text: A collocation boundary element method and a weighted boundary elementary method are used to solve a one-dimensional inverse heat conduction problem by considering Green's function and boundary integral equation for the one-dimensional heat equation. Truncated single value decomposition (SVD) technique and a couple of Tikhonov's regularization techniques are used to stabilize the ill-conditioned systems obtained under the said boundary element methods. According to the study of this paper, the truncated SVD technique involves more computations than Tikhonov's regularization techniques, and the weighted boundary element method is more stable than the collocation boundary element method.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1429542
zbMATH Keywords: stability
zbMATH Keywords: single value decomposition
zbMATH Keywords: collocation
zbMATH Keywords: boundary elementary method
zbMATH Keywords: inverse heat conduction
zbMATH Keywords: boundary integral equation
zbMATH Keywords: heat equation
zbMATH Keywords: Tikhonov's regularization
zbMATH Keywords: ill-conditioned systems
reviewed by: V. P. Tyagi
MaRDI profile type: Publication
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full work available at URL: s0898-1221(99)00248-5
OpenAlex ID: W2010527755
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1429542