Coupled poromechanical problems appear in a variety of disciplines, from reservoir
engineering to biomedical applications. This work focuses on efficient strategies for solving …

Since early publications in the late 1980s and early 1990s, the finite volume method has
been shown suitable for solid mechanics analyses. At present, there are several flavours of …

Many applications involving porous media–notably reservoir engineering and geologic
applications–involve tight coupling between multiphase fluid flow, transport, and …

We propose a two-stage preconditioner for accelerating the iterative solution by a Krylov
subspace method of Biot's poroelasticity equations based on a displacement-pressure …

We develop a new multipoint stress mixed finite element method for linear elasticity with
weakly enforced stress symmetry on simplicial grids. Motivated by the multipoint flux mixed …

Solving poroelastic problems on a single grid is of paramount importance in the
applications, especially in geosciences. However, these applications sometimes require to …

We explain how to derive a network element for the linear elasticity problem. After
presenting sufficient conditions on the network for the validity of a discrete Korn inequality …

A comparison between fully-implicit and sequential-implicit methods for coupled
poroelasticity is presented. By formulating the two approaches within a unified framework …

Les méthodes classiques de résolution des équations de l'élasticité linéaire sont les
méthodes éléments finis. Ces méthodes produisent de très bons résultats et sont très …

This manuscript focuses on the conception of nonconforming discretization methods for a
poromechanical model. The aim of this work is to ease the coupling between the …