Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method
type: Item
instance of: scholarly article
title: Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method
zbMATH Open document ID: 1427.65230
DOI: 10.1155/2017/2861342
author: Shoubin Wang
author: Li Zhang
author: Xiaogang Sun
author: Huangchao Jia
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: The compound variable inverse problem which comprises boundary temperature distribution and surface convective heat conduction coefficient of two-dimensional steady heat transfer system with inner heat source is studied in this paper applying the conjugate gradient method. The introduction of complex variable to solve the gradient matrix of the objective function obtains more precise inversion results. This paper applies boundary element method to solve the temperature calculation of discrete points in forward problems. The factors of measuring error and the number of measuring points zero error which impact the measurement result are discussed and compared with L-MM method in inverse problems. Instance calculation and analysis prove that the method applied in this paper still has good effectiveness and accuracy even if measurement error exists and the boundary measurement points' number is reduced. The comparison indicates that the influence of error on the inversion solution can be minimized effectively using this method.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A23
zbMATH DE Number: 6971917
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2861342
OpenAlex ID: W2734969227
Wikidata QID: Q59147432
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description: scientific article; zbMATH DE number 6971917