A posteriori analysis of a Richards problem with a free boundary
Résumé
Richards equation models the water flow in a partially saturated underground porous medium. When it rains on the surface, boundary conditions of Signorini type may be considered on this part of the boundary. We recall the well-posedness of this problem together with its discretiza-tion by an implicit Euler's scheme in time and finite elements in space. We establish quasi-optimal a posteriori estimates for the solution of the discrete problem. Some numerical experiments confirm the interest of this discretization.
Domaines
Analyse numérique [math.NA]| Origine | Fichiers produits par l'(les) auteur(s) |
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