Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media

dc.creatorVerma, Nitesh
dc.creatorGómez Vargas, Bryan Andrés
dc.creatorDe Oliveira Vilaca, Luis Miguel
dc.creatorKumar, Sarvesh
dc.creatorRuiz Baier, Ricardo
dc.date.accessioned2022-04-20T16:25:41Z
dc.date.available2022-04-20T16:25:41Z
dc.date.issued2021
dc.description.abstractWe analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes in the medium. We investigate the well-posedness of the nonlinear set of equations using fixed-point theory, Fredholm’s alternative, a priori estimates, and compactness arguments. We also propose a mixed finite element method and demonstrate the stability of the scheme. Error estimates are derived in suitable norms, and numerical experiments are conducted to illustrate the mechano-chemical coupling and to verify the theoretical rates of convergence.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.sponsorshipComisión Nacional de Investigación Científica y Tecnológica/[21170275]/CONICYT/Chilees_ES
dc.description.sponsorshipLondon Mathematical Society/[Scheme 5, Grant 51703]/LMS/Reino Unidoes_ES
dc.description.sponsorshipScience & Engineering Research Board/[MTR/2019/000519]/SERB/Indiaes_ES
dc.identifier.citationhttps://www.tandfonline.com/journals/gapa20es_ES
dc.identifier.doi10.1080/00036811.2021.1877677
dc.identifier.issn1563-504X
dc.identifier.urihttps://hdl.handle.net/10669/86459
dc.language.isoenges_ES
dc.rightsacceso embargado
dc.sourceApplicable analysis, pp.1-28.es_ES
dc.subjectBiot equationses_ES
dc.subjectReaction-diffusiones_ES
dc.subjectMixed finite element schemees_ES
dc.subjectWell-posedness and stabilityes_ES
dc.subjectNumerical experiments and error estimateses_ES
dc.titleWell-posedness and discrete analysis for advection-diffusion-reaction in poroelastic mediaes_ES
dc.typeartículo originales_ES

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