20 citations · 41 across the 6 of their papers we have counts for
6 papers
Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain
Isaac Bermudez, Bryan Gomez-Vargas, Kent-Andre Mardal +2
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 st…
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion
Bryan Gomez-Vargas, Kent-Andre Mardal, Ricardo Ruiz-Baier +1
We introduce a stress/total-pressure formulation for poroelasticity that includes the coupling with steady nonlinear diffusion modified by stress. The nonlinear problem is written…
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
Veronica Anaya, Ruben Caraballo, Bryan Gomez-Vargas +2
We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homoge…
Stability analysis for a new model of multispecies convection-diffusion-reaction in poroelastic tissue
Luis Miguel de Oliveira Vilaca, Bryan Gomez-Vargas, Sarvesh Kumar +2
We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total…
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Nitesh Verma, Bryan Gomez-Vargas, Luis Miguel De Oliveira Vilaca +2
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and…
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Verónica Anaya, Bryan Gómez-Vargas, David Mora +1
In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity and pressure with non-constant visc…