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Pure vorticity formulation and Galerkin discretization for the Brinkman equations

Abstract:

We introduce a new finite element method for the approximation of the three-dimensional Brinkman problem formulated in terms of the velocity, vorticity, and pressure fields. The proposed strategy exhibits the advantage that, at the continuous level, a complete decoupling of vorticity and pressure can be established under the assumption of sufficient regularity. The velocity is then obtained as a simple postprocess from vorticity and pressure, using the momentum equation. Well-posedness follow...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1093/imanum/drw056

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Elsevier Mathematical Sciences Sponsorship Fund
Funding agency for:
Ruiz Baier, R
Grant:
MSSF-201602
More from this funder
Name:
Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales
Grant:
ACT1118
More from this funder
Name:
Research Directorate of the University of Bío-Bío
Grant:
151408 GI/VC
More from this funder
Name:
Chilean National Commission of Scientific Research and Technology
Grant:
1140791
Publisher:
Oxford University Press
Journal:
IMA Journal of Numerical Analysis More from this journal
Volume:
37
Issue:
4
Pages:
2020–2041
Publication date:
2016-11-01
Acceptance date:
2016-09-19
DOI:
ISSN:
1464-3642
Keywords:
Pubs id:
pubs:644391
UUID:
uuid:0b2662b5-91b6-4d54-972d-cbb3c54db7e8
Local pid:
pubs:644391
Source identifiers:
644391
Deposit date:
2016-09-20

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