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
17 papers · 1 filter
Robust virtual element methods for coupled stress-assisted diffusion problems
Rekha Khot, Andres E. Rubiano, Ricardo Ruiz-Baier
This paper aims first to perform robust continuous analysis of a mixed nonlinear formulation for stress-assisted diffusion of a solute that interacts with an elastic material, and…
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…
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…