Biot's consolidation model in poroelasticity has a number of applications in science,
medicine, and engineering. The model depends on various parameters, and in practical …

This paper is devoted to the stability analysis of a classical three-field formulation of Biot's
consolidation model where the unknown variables are the displacements, fluid flux (Darcy …

The parameters in the governing system of partial differential equations of multiple‐network
poroelasticity models typically vary over several orders of magnitude, making its stable …

We introduce a numerical method for the approximation of linear poroelasticity equations,
representing the interaction between the non-viscous filtration flow of a fluid and the linear …

In this paper we advance the analysis of discretizations for a fluid-structure interaction model
of the monolithic coupling between the free flow of a viscous Newtonian fluid and a …

We discuss the construction of robust preconditioners for finite element approximations of
Biot's consolidation model in poroelasticity. More precisely, we study finite element methods …

Intrathecal drug and gene vector delivery is a procedure to release a solute within the
cerebrospinal fluid. This procedure is currently used in clinical practice and shows promise …

Abstract The generalized Biot-Brinkman equations describe the displacement, pressures
and fluxes in an elastic medium permeated by multiple viscous fluid networks and can be …

We perform the linear stability analysis of a new model for poromechanical processes with
inertia (formulated in mixed form using the solid deformation, fluid pressure, and total …

The mechanical behavior of a poroelastic medium permeated by multiple interacting fluid
networks can be described by a system of time-dependent partial differential equations …