A POSTERIORI ANALYSIS OF A RICHARDS PROBLEM WITH A FREE BOUNDARY

Abstract : 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.
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Submitted on : Friday, January 17, 2020 - 6:35:19 PM
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Adel Blouza, Linda Alaoui. A POSTERIORI ANALYSIS OF A RICHARDS PROBLEM WITH A FREE BOUNDARY. 2020. ⟨hal-02444391⟩

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