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.
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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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