Huntul, MJ and Lesnic, D orcid.org/0000-0003-3025-2770 (2020) Reconstruction of the timewise conductivity using a linear combination of heat flux measurements. Journal of King Saud University - Science, 32 (1). pp. 928-933. ISSN 1018-3647
Abstract
The reconstruction of the timewise conductivity in the heat equation from an observation consisting of a linear combination of heat flux measurement data is considered. This inverse formulation results in a local uniquely solvable problem. The two-dimensional inverse problem is discretized using an alternating direction explicit method. The resulting constrained optimization problem is minimized iteratively by employing a MATLAB toolbox subroutine.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019, The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)(http://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Coefficient identification; Two-dimensional heat equation; Nonlocal observation; Nonlinear optimization |
Dates: |
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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: | 23 May 2019 15:42 |
Last Modified: | 25 Jun 2023 21:50 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jksus.2019.05.006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:146371 |