We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot
consolidation equations through an interface, and incorporating total pressure as an …

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 construct mesh-independent and parameter-robust monolithic solvers for the coupled
primal Stokes--Darcy problem. Three different formulations and their discretizations in terms …

We present a new stress/total-pressure formulation for poroelasticity that incorporates the
coupling with steady nonlinear diffusion modified by stress. This nonlinear problem is written …

This paper aims first to perform robust continuous analysis of a mixed nonlinear formulation
for stress-assisted diffusion of a solute that interacts with an elastic material, and second to …

In this article, we propose a new formulation and a suitable finite element method for the
steady coupling of viscous flow in deformable porous media using divergence‐conforming …