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dc.contributor.author
Duran, Ricardo Guillermo
dc.contributor.author
Otárola, Enrique
dc.contributor.author
Salgado, Abner J.
dc.date.available
2021-10-20T12:27:40Z
dc.date.issued
2020-01
dc.identifier.citation
Duran, Ricardo Guillermo; Otárola, Enrique; Salgado, Abner J.; Stability of the Stokes projection on weighted spaces and applications; American Mathematical Society; Mathematics of Computation; 89; 324; 1-2020; 1581-1603
dc.identifier.issn
0025-5718
dc.identifier.uri
http://hdl.handle.net/11336/144404
dc.description.abstract
We show that, on convex polytopes and two or three dimensions, the finite element Stokes projection is stable on weighted spaces $\bW^{1,p}_0(\omega,\Omega) \times L^p(\omega,\Omega)$, where the weight belongs to a certain Muckenhoupt class and the integrability index can be different from two. We show how this estimate can be applied to obtain error estimates for approximations of the solution to the Stokes problem with singular sources.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
STOKES EQUATIONS
dc.subject
WEIGHTED SPACES
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Stability of the Stokes projection on weighted spaces and applications
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-07T18:34:26Z
dc.journal.volume
89
dc.journal.number
324
dc.journal.pagination
1581-1603
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Otárola, Enrique. Universidad Tecnica Federico Santa Maria.; Chile
dc.description.fil
Fil: Salgado, Abner J.. University of Tennessee; Estados Unidos
dc.journal.title
Mathematics of Computation
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/mcom/2020-89-324/S0025-5718-2020-03509-1/home.html
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