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Stabilized nonconforming finite element methods for data assimilation in incompressible flows
Department of Mathematics, University College London, London, United Kingdom.
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
2018 (English)In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 87, no 311, p. 1029-1050Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2018. Vol. 87, no 311, p. 1029-1050
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Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-38908DOI: 10.1090/mcom/3255ISI: 000425720100001Scopus ID: 2-s2.0-85042372295Local ID: JTHProduktutvecklingISOAI: oai:DiVA.org:hj-38908DiVA, id: diva2:1185286
Available from: 2018-02-23 Created: 2018-02-23 Last updated: 2018-03-20Bibliographically approved

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Hansbo, Peter

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