17 citations · 27 across the 7 of their papers we have counts for
7 papers
On augmented finite element formulation for the Navier--Stokes equations with vorticity and variable viscosity
Veronica Anaya, Ruben Caraballo, Ricardo Ruiz-Baier +1
We propose and analyse an augmented mixed finite element method for the Navier--Stokes equations written in terms of velocity, vorticity, and pressure with non-constant viscosity a…
Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling
VerÓnica Anaya, Arbaz Khan, David Mora +1
We develop the \textit{a posteriori} error analysis of three mixed finite element formulations for rotation-based equations in elasticity, poroelasticity, and interfacial elasticit…
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
Veronica Anaya, David Mora, Amiya K. Pani +1
A variational formulation is introduced for the Oseen equations written in terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled using the momentum balance…
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…
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…
Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations
Veronica Anaya, Afaf Bouharguane, David Mora +4
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Ber…
A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
Verónica Anaya, Mostafa Bendahmane, David Mora +1
We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an -conforming discretization b…