A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm
Joint Authors
Chen, Xing
Sun, Yao
Huang, Qiang
Min, Tao
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Min, Tao& Chen, Xing& Sun, Yao& Huang, Qiang. 2014. A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-486188
Modern Language Association (MLA)
Min, Tao…[et al.]. A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-486188
American Medical Association (AMA)
Min, Tao& Chen, Xing& Sun, Yao& Huang, Qiang. A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-486188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486188