Hào, DN, Huong, BV, Thanh, PX et al. (1 more author) (2014) Identification of nonlinear heat transfer laws from boundary observations. Applicable Analysis, 94 (9). 1784 - 1799. ISSN 0003-6811
Abstract
We consider the problem of identifying a nonlinear heat transfer law at the boundary, or of the temperature-dependent heat transfer coefficient in a parabolic equation from boundary observations. As a practical example, this model applies to the heat transfer coefficient that describes the intensity of heat exchange between a hot wire and the cooling water in which it is placed. We reformulate the inverse problem as a variational one which aims to minimize a misfit functional and prove that it has a solution. We provide a gradient formula for the misfit functional and then use some iterative methods for solving the variational problem. Thorough investigations are made with respect to several initial guesses and amounts of noise in the input data. Numerical results show that the methods are robust, stable and accurate.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2014 Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis, available online at http://dx.doi.org/10.1080/00036811.2014.948425. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Heat transfer law; Inverse problem; Nonlinear boundary condition; 35R25; 35R30; 65M30; 65M32 |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 Aug 2015 09:35 |
Last Modified: | 03 Nov 2015 17:34 |
Published Version: | http://dx.doi.org/10.1080/00036811.2014.948425 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/00036811.2014.948425 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:85734 |