Hào, DN, Thanh, PX and Lesnic, D (2015) Determination of the ambient temperature in transient heat conduction. IMA Journal of Applied Mathematics, 80 (1). 24 - 46. ISSN 0272-4960
Abstract
The restoration of the space- or time-dependent ambient temperature entering a third-kind convective Robin boundary condition in transient heat conduction is investigated. The temperature inside the solution domain together with the ambient temperature are determined from additional boundary measurements. In both cases of the space- or time-dependent unknown ambient temperature the inverse problems are linear and ill-posed. Least-squares penalized variational formulations are proposed and new formulae for the gradients are derived. Numerical results obtained using the conjugate gradient method combined with a boundary element direct solver are presented and discussed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The version of record Hào, DN, Thanh, PX and Lesnic, D (2015) Determination of the ambient temperature in transient heat conduction. IMA Journal of Applied Mathematics, 80 (1). 24 - 46 is available online at: http://dx.doi.org/10.1093/imamat/hxt012 |
Keywords: | Ambient temperature; Boundary element method; Conjugate gradient method; Heat equation; 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: | 23 Mar 2015 12:39 |
Last Modified: | 05 Nov 2017 11:38 |
Published Version: | http://dx.doi.org/10.1093/imamat/hxt012 |
Status: | Published |
Publisher: | Oxford University Press |
Refereed: | Yes |
Identification Number: | 10.1093/imamat/hxt012 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:83756 |