Ricardo Ruíz-Baier

Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain

We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic stress (using the Hellinger--Reissner principle) and stress-altered solute diffusion (where diffusive flux depends on the poroelastic stress a...

Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models

A perturbed threefold saddle-point formulation yielding new mixed finite element methods for poroelasticity with reduced symmetry

We propose and analyze new mixed finite element methods for the linear poroelasticity problem, which models the coupled phenomena of fluid diffusion and solid deformation. The formulation is based on the introduction of the vorticity and the strain tensor as auxiliary unknowns, which makes it possible to eliminate t...