23 citations · 99 across the 32 of their papers we have counts for
4 papers · 1 filter
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora +2
A virtual element discretisation for the numerical approximation of the three-field formulation of linear poroelasticity introduced in [R. Oyarzúa and R. Ruiz-Baier, Locking-free f…
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…
An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion
Adrienne Propp, Alessio Gizzi, Francesc Levrero-Florencio +1
We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a v…