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dc.contributor.author
Armentano, Maria Gabriela
dc.contributor.author
Blasco, Jordi
dc.date.available
2017-04-07T20:27:24Z
dc.date.issued
2010-07
dc.identifier.citation
Armentano, Maria Gabriela; Blasco, Jordi; Stable and unstable cross-grid PkQl mixed finite elements for the Stokes problem; Elsevier; Journal Of Computational And Applied Mathematics; 234; 5; 7-2010; 1404-1416
dc.identifier.issn
0377-0427
dc.identifier.uri
http://hdl.handle.net/11336/15024
dc.description.abstract
In this paper we develop and analyze a family of mixed finite element methods for the numerical solution of the Stokes problem in two space dimensions. In these schemes, the pressure is interpolated on a mesh of rectangular elements, while the velocity is approximated on a triangular mesh obtained by dividing each rectangle into four triangles by its diagonals. Continuous interpolations of degrees k for the velocity and l for the pressure are considered, so the new finite elements are called cross-grid PkQl. A stability analysis of these approximations is provided, based on the macroelement technique of Stenberg. The lowest order P1Q1 and P2Q1 cases are analyzed in detail; in the first case, a global spurious pressure mode is shown to exist, so this element is unstable. In the second case, however, stability is rigorously proved. Numerical results obtained in these two cases are also presented, which confirm the existence of the spurious pressure mode for the P1Q1 element and the stability of the P2Q1 element.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Stokes Problem
dc.subject
Mixed Finite Elements
dc.subject
Stability Analysis
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Stable and unstable cross-grid PkQl mixed finite elements for the Stokes problem
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-06T16:51:48Z
dc.journal.volume
234
dc.journal.number
5
dc.journal.pagination
1404-1416
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Armentano, Maria Gabriela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Blasco, Jordi. Universidad Politecnica de Catalunya; España
dc.journal.title
Journal Of Computational And Applied Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0377042710000981
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cam.2010.02.016
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