This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity …

In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …

In this paper, we present and analyze a new mixed finite element formulation of a general
family of quasi-static multiple-network poroelasticity (MPET) equations. The MPET equations …

In this work, we consider the popular P1–RT0–P0 discretization of the three-field formulation
of Biot's consolidation problem. Since this finite-element formulation is not uniformly stable …

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

We consider a non-linear extension of Biot's model for poromechanics, wherein both the
fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study …

Subcutaneous injection of therapeutic monoclonal antibodies (mAbs) has recently attracted
unprecedented interests in the pharmaceutical industry. The drug transport in the tissue and …

The fixed-stress split method has been widely used as solution method in the coupling of
flow and geomechanics. In this work, we analyze the behavior of an inexact version of this …

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 …