48 citations · 361 across the 48 of their papers we have counts for
11 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…
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…