A posteriori analysis of a space and time discretization of a nonlinear model for the flow in partially saturated porous media
C. Bernardi, Linda El Alaoui, Zoubida Mghazli · IMA Journal of Numerical Analysis · 2013
We consider the equation due to Richards which models the water flow in a partially saturated underground porous medium under the surface. We propose a discretization of this equation by an implicit Euler scheme in time and mixed finite elements in space. We perform a posteriori analysis of this discretization, in order to improve its efficiency via time-step and mesh adaptivity. Some numerical experiments confirm the interest of this approach.