The quasi-static multiple-network poroelastic theory (MPET) model, first introduced in the
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …

We address numerical solvers for a poromechanics model particularly adapted for soft
materials, as it generally respects thermodynamics principles and energy balance …

In this manuscript we focus on the question: what is the correct notion of Stokes–Biot
stability? Stokes–Biot stable discretizations have been introduced, independently by several …

We present an embedded-hybridizable discontinuous Galerkin finite element method for the
total pressure formulation of the quasi-static poroelasticity model. Although the displacement …

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 consider the dynamic Biot model describing the interaction between fluid flow and solid
deformation including wave propagation phenomena in both the liquid and solid phases of a …

Finite element approximations of poroelastic materials are nowadays used within multiple
applications. Due to wide variation of possible material parameters, robustness of the …

This paper examines a weighted least-squares method for a poroelastic structure governed
by Biot's consolidation model. Quasi-static model equations are converted to a firstorder …

In this paper we propose a new finite element discretization for the two-field formulation of
poroelasticity which uses the elastic displacement and the pore pressure as primary …

We propose a uniform block diagonal preconditioner for the condensed H (div)-conforming
HDG scheme of a parameter-dependent saddle point problem that includes the generalized …