Simple and Stable Algorithm for Parameter Identification in Heat Conduction Problems

DOI

10.2991/iiicec-15.2015.17How to use a DOI?

Keywords

heat conduction equation; inverse problem; parameter identification; constraint condition

Abstract

Parameter identification in heat conduction problems is an ill-posed problem in the sense of Hadamard, this means that small errors in the measurement may cause very large errors in the numerical result. In this paper, a regularization method for inverse problem of determination of unknown parameter in heat Conduction problems is presented. The approach of the proposed method is to add constraint condition of derivative and get a well-posed operator equation which can approximate the ill-posed problem discussed. The numerical results show that our algorithm is stable and precise.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Junli Zhang
AU  - Suhua Wang
AU  - Guichun Han
PY  - 2015/03
DA  - 2015/03
TI  - Simple and Stable Algorithm for Parameter Identification in Heat Conduction Problems
BT  - Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference
PB  - Atlantis Press
SP  - 71
EP  - 74
SN  - 2352-538X
UR  - https://doi.org/10.2991/iiicec-15.2015.17
DO  - 10.2991/iiicec-15.2015.17
ID  - Zhang2015/03
ER  -