48 citations · 361 across the 48 of their papers we have counts for
12 papers · 1 filter
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…
Mechanochemical models for calcium waves in embryonic epithelia
Katerina Kaouri, Paul E. Méndez, Ricardo Ruiz-Baier
In embryogenesis, epithelial cells, acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between chemical signalling and mechanical respo…
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…
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion
Bryan Gomez-Vargas, Kent-Andre Mardal, Ricardo Ruiz-Baier +1
We introduce a stress/total-pressure formulation for poroelasticity that includes the coupling with steady nonlinear diffusion modified by stress. The nonlinear problem is written…
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…
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…
Coupling Stokes flow with inhomogeneous poroelasticity
Matteo Taffetani, Ricardo Ruiz-Baier, Sarah Waters
We investigate the behaviour of flux-driven flow through a single-phase fluid domain coupled to a biphasic poroelastic domain. The fluid domain consists of an incompressible Newton…
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis
Raimund Bürger, Arbaz Khan, Paul E. Méndez +1
The analysis of the double-diffusion model and -conforming method introduced in [Bürger, Méndez, Ruiz-Baier, SINUM (2019), 57:1318--1343] is extended to 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…
Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation
Arbaz Khan, Manil T Mohan, Ricardo Ruiz-Baier
In this work we address the analysis of the stationary generalized Burgers-Huxley equation (a nonlinear elliptic problem with anomalous advection) and propose conforming, nonconfor…