Mixed finite elements are a numerical method becoming more and more popular in
geosciences. This method is well suited for solving elliptic and parabolic partial differential …

This study concerns numerical methods for efficiently solving the Richards equation where
different weak formulations and computational techniques are analyzed. The spatial …

Spatial discretization of transport and transformation processes in porous media requires
techniques that handle general geometry, discontinuous coefficients and are locally mass …

This work deals with a comparison of different numerical schemes for the simulation of
contaminant transport in heterogeneous porous media. The numerical methods under …

In this article, we analyze an Euler implicit‐mixed finite element scheme for a porous media
solute transport model. The transporting flux is not assumed given, but obtained by solving …

Variational time discretization schemes are getting of increasing importance for the accurate
numerical approximation of transient phenomena. The applicability and value of mixed finite …

In this paper, we analyze a fully discrete numerical scheme for water flow in strictly
unsaturated porous media. The water flow is modeled by the Richards equation, a nonlinear …

In this work we study numerically the performance properties of a class of approximation
schemes for systems of convection–diffusion–reaction models with small diffusion. A …

We develop and study numerically two families of variational time discretization schemes for
mixed finite element approximations applied to nonstationary diffusion problems …

We present a mass conservative finite element approach of second order accuracy for the
numerical approximation of reactive solute transport in porous media modeled by a coupled …