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Reduced-basis output bound methods for heat transfer problems

Rovas, D; Leurent, T; Prud'homme, C; Patera, AT; (2001) Reduced-basis output bound methods for heat transfer problems. In: Bathe, KJ, (ed.) Proceedings of 1st Conference on computational fluid and solid mechanics; 2001. (pp. pp. 718-721). Elsevier: Amsterdam. Green open access

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Abstract

We describe a technique for the rapid and reliable prediction of outputs of interest, of elliptic partial differential equations with affine parameter dependence. To achieve efficiency, the reduced-basis method is used; reliability is obtained by the development of relevant a posteriori error estimators. We apply this method to the problem of designing a thermal fin, to effectively remove heat from a surface. A number of design parameters=inputs are considered. Each possible configuration, corresponding to different choices of the design parameters, needs to be evaluated by solving the heat conduction equation and calculating certain outputs of interest like the average temperature on the fin base.

Type: Proceedings paper
Title: Reduced-basis output bound methods for heat transfer problems
Event: 1st Conference on computational fluid and solid mechanics; 2001
Location: Cambridge, USA
Dates: 12 June 2001 - 15 June 2001
ISBN: 0080439446, 008043956X, 0080439640
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Reduced-basis method; A posteriori error estimation; Heat transfer
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > Bartlett School Env, Energy and Resources
URI: https://discovery.ucl.ac.uk/id/eprint/10062909
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