Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
dc.creator | Verma, Nitesh | |
dc.creator | Gómez Vargas, Bryan Andrés | |
dc.creator | De Oliveira Vilaca, Luis Miguel | |
dc.creator | Kumar, Sarvesh | |
dc.creator | Ruiz Baier, Ricardo | |
dc.date.accessioned | 2022-04-20T16:25:41Z | |
dc.date.available | 2022-04-20T16:25:41Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We 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.procedence | UCR::Sedes Regionales::Sede de Occidente | es_ES |
dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | es_ES |
dc.description.sponsorship | Comisión Nacional de Investigación Científica y Tecnológica/[21170275]/CONICYT/Chile | es_ES |
dc.description.sponsorship | London Mathematical Society/[Scheme 5, Grant 51703]/LMS/Reino Unido | es_ES |
dc.description.sponsorship | Science & Engineering Research Board/[MTR/2019/000519]/SERB/India | es_ES |
dc.identifier.citation | https://www.tandfonline.com/journals/gapa20 | es_ES |
dc.identifier.doi | 10.1080/00036811.2021.1877677 | |
dc.identifier.issn | 1563-504X | |
dc.identifier.uri | https://hdl.handle.net/10669/86459 | |
dc.language.iso | eng | es_ES |
dc.rights | acceso embargado | |
dc.source | Applicable analysis, pp.1-28. | es_ES |
dc.subject | Biot equations | es_ES |
dc.subject | Reaction-diffusion | es_ES |
dc.subject | Mixed finite element scheme | es_ES |
dc.subject | Well-posedness and stability | es_ES |
dc.subject | Numerical experiments and error estimates | es_ES |
dc.title | Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media | es_ES |
dc.type | artículo original | es_ES |