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Stabilized nonconforming finite element methods for data assimilation in incompressible flows

Burman, E; Hansbo, P; (2017) Stabilized nonconforming finite element methods for data assimilation in incompressible flows. Mathematics of Computation , 87 (2018) pp. 1029-1050. 10.1090/mcom/3255. Green open access

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Abstract

We consider a stabilized nonconforming finite element method for data assimilation in incompressible flow subject to the Stokes' equations. The method uses a primal dual structure that allows for the inclusion of nonstandard data. Error estimates are obtained that are optimal compared to the conditional stability of the ill-posed data assimilation problem.

Type: Article
Title: Stabilized nonconforming finite element methods for data assimilation in incompressible flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1090/mcom/3255
Publisher version: https://doi.org/10.1090/mcom/3255
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 Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1518354
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