47 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Monash UniversityAU16 papers
- Sechenov UniversityRU11 papers
- University of Bío-BíoCL6 papers
- Universidad de Costa RicaCR4 papers
- Indian Institute of Space Science and TechnologyIN3 papers
- University of ConcepciónCL3 papers
- University of GenevaCH3 papers
- Birla Institute of Technology and Science, PilaniIN2 papers
- Birla Institute of Technology and Science, Pilani - Goa CampusIN2 papers
- University of ChileCL2 papers
- University of La SerenaCL2 papers
- University of OxfordGB2 papers
16 papers · 1 filter
Robust stability and preconditioning of Darcy-Forchheimer equations
Rishi Das, Harsha Hutridurga, Amiya K. Pani +1
We derive parameter-robust quasi-optimal error estimates for mixed finite element methods for the nonlinear Darcy--Forchheimer equations with mixed boundary conditions. Using the f…
Mixed virtual element methods for a stress-velocity-rotation formulation in viscoelasticity
Sarvesh Kumar, Utkarsh Rajput, Ricardo Ruiz-Baier
In this paper we propose a new mixed virtual element formulation for the numerical approximation of viscoelasticity equations with weakly imposed stress symmetry. The governing equ…
Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form
Ruben Caraballo, Chansophea Wathanak In, Alberto F. Martín +1
In this paper, we propose a new formulation and a suitable finite element method for the steady coupling of viscous flow in deformable porous media using divergence-conforming filt…
New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
Bishnu P. Lamichhane, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
We propose four-field and five-field Hu--Washizu-type mixed formulations for nonlinear poroelasticity -- a coupled fluid diffusion and solid deformation process -- considering that…
Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning
Nicolás A. Barnafi, Luis Miguel De Oliveira Vilaca, Michel C. Milinkovitch +1
We propose a new mathematical model for the interaction of skin cell populations with fibroblast growth factor and bone morphogenetic protein, occurring within deformable porous me…
Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson--Nernst--Planck/Navier--Stokes equations
Mehdi Dehghan, Zeinab Gharibi, Ricardo Ruiz-Baier
In this article, we propose and analyze a fully coupled, nonlinear, and energy-stable virtual element method (VEM) for solving the coupled Poisson-Nernst-Planck (PNP) and Navier--S…
A new DG method for a pure--stress formulation of the Brinkman problem with strong symmetry
Salim Meddahi, Ricardo Ruiz-Baier
A strongly symmetric stress approximation is proposed for the Brinkman equations with mixed boundary conditions. The resulting formulation solves for the Cauchy stress using a symm…
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…
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…
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching
R. C. Cabrales, F. Guillén-González, J. V. Gutiérrez-Santacreu
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into…