Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Αποθηκεύτηκε σε:
| Συγγραφείς: | , , , , |
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| Μορφή: | artículo original |
| Ημερομηνία έκδοσης: | 2021 |
| Περιγραφή: | 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. |
| Χώρα: | Kérwá |
| Ίδρυμα: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Γλώσσα: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/86459 |
| Διαθέσιμο Online: | https://www.tandfonline.com/journals/gapa20 https://hdl.handle.net/10669/86459 |
| Λέξη-Κλειδί : | Biot equations Reaction-diffusion Mixed finite element scheme Well-posedness and stability Numerical experiments and error estimates |