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math.NA2025
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…
math.NA2021
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…
math.NA2020
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…