5 citations · 5 across the 5 of their papers we have counts for
7 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…
Perturbed saddle-point problems in with non-regular loads
Abeer F. Alsohaim, Tomas Führer, Ricardo Ruiz-Baier +1
In this work, we develop the continuous and discrete solvability analysis for perturbed saddle-point problems in Banach spaces with forcing terms regularised by means of a projecto…
A velocity-vorticity-pressure formulation for the steady Navier--Stokes--Brinkman--Forchheimer problem
Santiago Badia, Carsten Carstensen, Alberto F. Martin +2
The flow of incompressible fluid in highly permeable porous media in vorticity - velocity - Bernoulli pressure form leads to a double saddle-point problem in the Navier--Stokes--Br…
Analysis of a finite element method for the Stokes--Poisson--Boltzmann equations
Abeer F. AlSohaim, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
We define a finite element method for the coupling of Stokes and nonlinear Poisson--Boltzmann equations. The novelty in the formulation is that the coupling from the electric poten…
A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier +1
We develop a family of mixed finite element methods for a model of nonlinear poroelasticity where, thanks to a rewriting of the constitutive equations, the permeability depends on…
Numerical analysis of a porous natural convection system with vorticity and viscous dissipation
Russel Demos, Rashmi Dubey, Ricardo Ruiz-Baier +1
In this paper we propose and analyse a new formulation and pointwise divergence-free mixed finite element methods for the numerical approximation of Darcy--Brinkman equations in vo…
New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
Bishnu P. Lamichhane, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
We propose four-field and five-field Hu--Washizu-type mixed formulations for nonlinear poroelasticity -- a coupled fluid diffusion and solid deformation process -- considering that…