A numerical approach to solving an inverse heat conduction problem using the Levenberg-Marquardt algorithm
type: Item
instance of: scholarly article
title: A numerical approach to solving an inverse heat conduction problem using the Levenberg-Marquardt algorithm
zbMATH Open document ID: 1407.80008
DOI: 10.1155/2014/626037
author: Tao Min
author: Xing Chen
author: Yao Sun
author: Qiang Huang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is intended to provide a numerical algorithm involving the combined use of the Levenberg-Marquardt algorithm and the Galerkin finite element method for estimating the diffusion coefficient in an inverse heat conduction problem (IHCP). In the present study, the functional form of the diffusion coefficient is unknown a priori. The unknown diffusion coefficient is approximated by the polynomial form and the present numerical algorithm is employed to find the solution. Numerical experiments are presented to show the efficiency of the proposed method.
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 7016889
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/626037
OpenAlex ID: W2112000079
Wikidata QID: Q59066680
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description: scientific article; zbMATH DE number 7016889