Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem

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dc.creatorAnaya Domínguez, Verónica
dc.creatorDe Wijn, Zoa
dc.creatorGómez Vargas, Bryan Andrés
dc.creatorMora Herrera, David
dc.creatorRuiz Baier, Ricardo
dc.date.accessioned2022-04-20T16:47:08Z
dc.date.available2022-04-20T16:47:08Z
dc.date.issued2020
dc.description.abstractIn this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the elasticity-poroelasticity problem. The transmission conditions are imposed naturally in the weak formulation, and the analysis of the effective governing equations is conducted by an application of Fredholm's alternative. We also propose a monolithically coupled mixed finite element method for the numerical solution of the problem. Its convergence properties are rigorously derived and subsequently confirmed by a set of computational tests that include applications to subsurface flow in reservoirs as well as to dentistry-oriented problems.es_ES
dc.description.procedenceUCR::Sedes Regionales::Sede de Occidentees_ES
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemáticaes_ES
dc.description.sponsorshipFondo Nacional de Desarrollo Científico y Tecnológico/[11160706]/FONDECYT/Chilees_ES
dc.description.sponsorshipPrograma Concurso Apoyo a Centros Científicos y Tecnológicos de Excelencia/[AFB170001]/PIA/Chilees_ES
dc.identifier.citationhttps://epubs.siam.org/doi/10.1137/19M1268343es_ES
dc.identifier.doi10.1137/19M1268343
dc.identifier.issn1095-7197
dc.identifier.urihttps://hdl.handle.net/10669/86462
dc.language.isoenges_ES
dc.rightsacceso abierto
dc.sourceSIAM Journal on Scientific Computing, vol.42(2), pp.B225-B249.es_ES
dc.subjectElasticity-poroelasticity couplinges_ES
dc.subjectInterface problemses_ES
dc.subjectFredholm's alternativees_ES
dc.subjectMixed finite element methodes_ES
dc.subjectError estimationes_ES
dc.titleRotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problemes_ES
dc.typeartículo originales_ES

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