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Reliable real-time solution of parametrised elliptic partial differential equations: Application to elasticity

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. Green open access

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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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