4 papers · 1 filter
An augmented mixed finite element method for the Biot problem with nonlinear permeability
Felipe Lepe, Gonzalo Rivera, Ricardo Ruiz-Baier +1
In two and three dimensions, we analyze a mixed formulation of the nonlinear Biot equations in terms of the poroelastic stress tensor, the displacement, the pressure, and the rotat…
A virtual element method for Kelvin--Voigt viscoelasticity
Utkarsh Rajput, Ankit Kumar, Andres E. Rubiano +2
Considering the computational advantages of virtual element methods (VEM), this work employs a conforming VEM for the numerical approximation of the Kelvin--Voigt model of viscoela…
Stream function -- pressure virtual element methods for the Stokes--Darcy interface problem
Franco Dassi, Rekha Khot, David Mora +2
This paper introduces a novel Virtual Element Method (VEM) for the coupled Stokes--Darcy system in primal-primal form. In the free-flow Stokes domain, we implement a stream functio…
Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution
Nicolás A. Barnafi, Andrés E. Rubiano, Ricardo Ruiz-Baier
In this work we propose, by linearizing the equations of fully nonlinear poroelasticity, a consistent model in which only the solid phase is incompressible. This reformulation circ…