Publication:
A multipoint stress-flux mixed finite element method for the Stokes-Biot model

cris.virtual.author-orcid0000-0001-7811-759X
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.departmentFacultad de Ingeniería
cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
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cris.virtualsource.author-orcidd60bef14-1f1a-4108-8f6f-ad03d4bacf38
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.departmentd60bef14-1f1a-4108-8f6f-ad03d4bacf38
cris.virtualsource.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.department#PLACEHOLDER_PARENT_METADATA_VALUE#
dc.contributor.authorDr. Caucao-Paillán, Sergio
dc.contributor.authorTongtong Li
dc.contributor.authorYotov, Ivan
dc.date.accessioned2024-06-07T15:40:43Z
dc.date.available2024-06-07T15:40:43Z
dc.date.issued2022
dc.description.abstractIn this paper we present and analyze a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a poroelastic medium. The flows in the free fluid and poroelastic regions are governed by the Stokes and Biot equations, respectively, and the transmission conditions are given by mass conservation, balance of stresses, and the Beavers-Joseph-Saffman law. We apply dual-mixed formulations in both domains, where the symmetry of the Stokes and poroelastic stress tensors is imposed by setting the vorticity and structure rotation tensors as auxiliary unknowns. In turn, since the transmission conditions become essential, they are imposed weakly by introducing the traces of the fluid velocity, structure velocity, and the poroelastic media pressure on the interface as the associated Lagrange multipliers. The existence and uniqueness of a solution are established for the continuous weak formulation, as well as a semidiscrete continuous-in-time formulation with non-matching grids, together with the corresponding stability bounds. In addition, we develop a new multipoint stress-flux mixed finite element method by involving the vertex quadrature rule, which allows for local elimination of the stresses, rotations, and Darcy fluxes. Well-posedness and error analysis with corresponding rates of convergence for the fully-discrete scheme are complemented by several numerical experiments.
dc.identifier.doi10.1007/s00211-022-01310-2
dc.identifier.urihttps://repositorio.ucsc.cl/handle/25022009/10509
dc.languageeng
dc.publisherNumerische Mathematik
dc.relation.uridoi.org/10.1007/s00211-022-01310-2
dc.subject76S05
dc.subject76D07
dc.subject74F10
dc.subject35M33
dc.subject65M60
dc.subject65M12
dc.titleA multipoint stress-flux mixed finite element method for the Stokes-Biot model
dc.typeartículo
dspace.entity.typePublication
oairecerif.author.affiliationFacultad de Ingeniería
oairecerif.author.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#
oairecerif.author.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#
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