48 citations · 361 across the 48 of their papers we have counts for
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Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models
Alonso J. Bustos, Jeonghun J. Lee, Ricardo Ruiz-Baier
We propose and analyse a fully mixed finite element method for a two-way coupled mechanochemical model of calcium signalling in viscoelastic tissue. The mechanical response follows…
Unconditionally stable and energy conserving discretization of the dynamic von Kármán equations
Carsten Carstensen, Neela Nataraj, Ricardo Ruiz-Baier +1
A fully discrete approximation of the dynamic von Kármán equations combines nonconforming Morley finite element methods for spatial discretization with an energy conserving modifie…
Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
Eligio Colmenares, Ricardo Ruiz-Baier, Dalidet Sanhueza
We develop and analyse an adaptive fully mixed finite element method for stationary generalized bioconvective flows, where the Navier--Stokes equations with concentration-dependent…
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…
Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain
Isaac Bermudez, Bryan Gomez-Vargas, Kent-Andre Mardal +2
We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic st…
Analysis and virtual element discretisation of a Stokes/Biot--Kirchhoff bulk--surface model
Franco Dassi, Rekha Khot, Andres E. Rubiano +1
We analyse a coupled 3D-2D model with a free fluid governed by Stokes flow in the bulk and a poroelastic plate described by the Biot-Kirchhoff equations on the surface. Assuming th…
A Nitsche method for Navier--Stokes/generalized poroelasticity interface problems
Aparna Bansal, Nicolas A. Barnafi, Dwijendra Narain Pandey +1
We consider a time-dependent coupled Navier--Stokes/generalized poroelastic flow problem and propose a unified and monolithic finite element discretization based on implicit time s…
A velocity-vorticity-pressure formulation for the steady Navier--Stokes--Brinkman--Forchheimer problem
Santiago Badia, Carsten Carstensen, Alberto F. Martin +2
The flow of incompressible fluid in highly permeable porous media in vorticity - velocity - Bernoulli pressure form leads to a double saddle-point problem in the Navier--Stokes--Br…
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…
Tree-based adaptive finite element methods for deformable image registration
Nicolás A. Barnafi, Alberto F. Martın, Ricardo Ruiz-Baier
In this work we propose an adaptive Finite Element Method (FEM) formulation for the Deformable Image Registration problem (DIR) together with a residual-based a posteriori error es…
Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
We investigate a coupled hyperbolic-parabolic system modeling thermoelastic diffusion (resp. thermo-poroelasticity) in plates, consisting of a fourth-order hyperbolic partial diffe…
Accurate stochastic simulation of nonlinear reactions between closest particles
Taylor Kearney, Ricardo Ruiz-Baier, Mark B. Flegg
We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles sati…
A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems
Franco Dassi, Rekha Khot, Andres E. Rubiano +1
We develop and analyse residual-based a posteriori error estimates for the virtual element discretisation of a nonlinear stress-assisted diffusion problem in two and three dimensio…
Analysis of a finite element method for the Stokes--Poisson--Boltzmann equations
Abeer F. AlSohaim, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
We define a finite element method for the coupling of Stokes and nonlinear Poisson--Boltzmann equations. The novelty in the formulation is that the coupling from the electric poten…
A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier +1
We develop a family of mixed finite element methods for a model of nonlinear poroelasticity where, thanks to a rewriting of the constitutive equations, the permeability depends on…
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
Aparna Bansal, Nicolás A. Barnafi, Dwijendra Narain Pandey +1
We propose a model for the coupling between free fluid and a linearized poro-hyperelastic body. In this model, the Brinkman equation is employed for fluid flow in the porous medium…
Numerical analysis of a porous natural convection system with vorticity and viscous dissipation
Russel Demos, Rashmi Dubey, Ricardo Ruiz-Baier +1
In this paper we propose and analyse a new formulation and pointwise divergence-free mixed finite element methods for the numerical approximation of Darcy--Brinkman equations in vo…
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
This paper discusses lowest-order nonstandard finite element methods for space discretization and explicit and implicit schemes for time discretization of the biharmonic wave equat…
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…
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…
Numerical solution of the Biot/elasticity interface problem using virtual element methods
Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier +1
We propose, analyze and implement a virtual element discretization for an interfacial poroelasticity-elasticity consolidation problem. The formulation of the time-dependent poroela…
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…
Virtual element methods for Biot-Kirchhoff poroelasticity
Rekha Khot, David Mora, Ricardo Ruiz-Baier
This paper analyses conforming and nonconforming virtual element formulations of arbitrary polynomial degrees on general polygonal meshes for the coupling of solid and fluid phases…
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…