155 citations
- Centre National de la Recherche ScientifiqueFR31 papers
- Université de BordeauxFR30 papers
- Laboratoire Ondes et Matière d'AquitaineFR28 papers
- Institute for Physics of MicrostructuresRU21 papers
- Moscow Institute of Physics and TechnologyRU18 papers
- Monash UniversityAU12 papers
- N. I. Lobachevsky State University of Nizhny NovgorodRU11 papers
- Universidad Adventista de ChileCL11 papers
- Russian Academy of SciencesRU8 papers
- University of CambridgeGB6 papers
- Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of SciencesRU5 papers
- Potsdam Institute for Climate Impact ResearchDE5 papers
6 papers · 2 filters
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta +2
In this paper we advance the analysis of discretizations for a fluid-structure interaction model of the monolithic coupling between the free flow of a viscous Newtonian fluid and a…
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…
Finite element methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema
Nicolas Barnafi, Bryan Gómez-Vargas, Wesley de Jesus Lourenço +5
In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested…
The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye
Ricardo Ruiz-Baier, Matteo Taffetani, Hans D. Westermeyer +1
We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot consolidation equations through an interface, and incorporating total pressure as an unknown in t…
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…