Hussein, MS, Lesnic, D and Ivanchov, MI (2017) Identification of a heterogeneous orthotropic conductivity in a rectangular domain. International Journal of Novel Ideas:Mathematics, 1. ISSN 2331-5210
Abstract
This paper investigates the problem of identifying a heterogeneous transient orthotropic thermal conductivity in a two-dimensional rectangular domain using initial and Dirichlet boundary conditions and fluxes as overdetermination conditions. The measurement data represented by the heat fluxes are shown to ensure the unique solvability of the inverse problem solution. The finite-difference method is employed as the direct solver which is fed iteratively in a nonlinear minimization routine. Exact and noisy input data are inverted numerically. Numerical results indicate that accurate and stable solutions are obtained.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
Keywords: | Heat equation; Orthotropic material; Inverse problem |
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: | 04 Nov 2015 15:03 |
Last Modified: | 18 Jul 2017 08:18 |
Status: | Published |
Publisher: | Scientech Publisher |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:91459 |