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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, Materials and Manufacturing.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
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-38908DOI: 10.1090/mcom/3255ISI: 000425720100001Scopus ID: 2-s2.0-85042372295Local ID: JTHMaterialISOAI: oai:DiVA.org:hj-38908DiVA, id: diva2:1185286
Available from: 2018-02-23 Created: 2018-02-23 Last updated: 2019-02-15Bibliographically approved

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Hansbo, Peter

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