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dc.creatorChacón Vera, Eliseoes
dc.creatorFranco Coronil, Danieles
dc.date.accessioned2016-10-14T10:55:41Z
dc.date.available2016-10-14T10:55:41Z
dc.date.issued2012-12
dc.identifier.citationChacón Vera, E. y Franco Coronil, D. (2012). A non-standard FETI-DP mortar method for Stokes problem. Journal of Numerical Mathematics, 20 (3-4), 161-182.
dc.identifier.issn1570-2820es
dc.identifier.issn1569-3953es
dc.identifier.urihttp://hdl.handle.net/11441/47539
dc.description.abstractThe trace spaces H 1/2 and H 1/2 00 play a key role in the FETI and mortar families of domain decomposition methods. However, a direct numerical evaluation of these norms is usually avoided. On the other hand, and for stability issues, the subspace of functions for which their jumps across the interfaces of neighbouring subdomains belong to these trace spaces yields a more suitable framework than the standard broken Sobolev space. Finally, the nullity of these jumps is usually imposed via Lagrange multipliers and using the pairing of the trace spaces with their duals. A direct computation of these pairings can be performed using the Riesz-canonical isometry. In this work we consider all these ingredients and introduce a domain decomposition method that falls into the FETI-DP mortar family. The application is to the incompressible Stokes problem and we see that continuous bounds are replicated at the discrete level. As a consequence, no stabilization is required. Some numerical tests are finally presented.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherDe Gruyteres
dc.relation.ispartofJournal of Numerical Mathematics, 20 (3-4), 161-182.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectFETI-DP methodses
dc.subjectMortar methodses
dc.subjectTrace normses
dc.subjectFreefem++es
dc.titleA non-standard FETI-DP mortar method for Stokes problemes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDMTM2009-07719es
dc.relation.publisherversionhttps://www.degruyter.com/downloadpdf/j/jnma.2012.20.issue-3-4/jnum-2012-0008/jnum-2012-0008.xmles
dc.identifier.doi10.1515/jnum-2012-0008es
dc.contributor.groupUniversidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientaleses
idus.format.extent22 p.es
dc.journaltitleJournal of Numerical Mathematicses
dc.publication.volumen20es
dc.publication.issue3-4es
dc.publication.initialPage161es
dc.publication.endPage182es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47539
dc.contributor.funderMinisterio de Educación y Ciencia (MEC). España

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