Veroy, K;
Leurent, T;
Prud'homme, C;
Rovas, DV;
Patera, AT;
(2002)
Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity.
In:
Proceedings of the High Performance Computation for Engineered Systems (HPCES) 2002.
SMA:Singapore–MIT Alliance: Singapore.
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Abstract
The optimization, control, and characterization of engineering components or systems require fast, repeated, and accurate evaluation of a partial-differential-equation-induced input-output relationship. We present a technique for the rapid and reliable prediction of linear-functional outputs of elliptic partial differential equations with affine parameter dependence. The method has three components: (i) rapidly convergent reduced{basis approximations; (ii) a posteriori error estimation; and (iii) off-line/on-line computational procedures. These components -- integrated within a special network architecture -- render partial differential equation solutions truly "useful": essentially real{time as regards operation count; "blackbox" as regards reliability; and directly relevant as regards the (limited) input-output data required.
| Type: | Proceedings paper |
|---|---|
| Title: | Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity |
| Event: | High Performance Computation for Engineered Systems Symposium 2002 |
| Location: | Singapore |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://web.mit.edu/sma/events/symposium/2002/agend... |
| 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. |
| 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/10062911 |
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