1 citations · 1 across the 9 of their papers we have counts for
10 papers
A virtual element method for Kelvin--Voigt viscoelasticity
Utkarsh Rajput, Ankit Kumar, Andres E. Rubiano +2
Considering the computational advantages of virtual element methods (VEM), this work employs a conforming VEM for the numerical approximation of the Kelvin--Voigt model of viscoela…
Stream function -- pressure virtual element methods for the Stokes--Darcy interface problem
Franco Dassi, Rekha Khot, David Mora +2
This paper introduces a novel Virtual Element Method (VEM) for the coupled Stokes--Darcy system in primal-primal form. In the free-flow Stokes domain, we implement a stream functio…
Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution
Nicolás A. Barnafi, Andrés E. Rubiano, Ricardo Ruiz-Baier
In this work we propose, by linearizing the equations of fully nonlinear poroelasticity, a consistent model in which only the solid phase is incompressible. This reformulation circ…
A posteriori analysis of a virtual element approach on polytopal meshes for the buckling eigenvalue problem
Franco Dassi, Andres E Rubiano, Iván Velásquez
We introduce a novel residual-based a posteriori error estimator for the conforming Virtual Element Method (VEM) applied to the buckling eigenvalue problem, incorporating non…
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 posteriori error estimates for a virtual element method applied to the thin plate vibration problem
Franco Dassi, Andres E. Rubiano, Iván Velásquez
We propose and analyse residual-based a posteriori error estimates for the virtual element discretisation applied to the thin plate vibration problem in both two and three dimensio…
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…
Robust virtual element methods for 3D stress-assisted diffusion problems
Andres E. Rubiano
This paper presents an initial exploration of stress-assisted diffusion problems in three dimensions within the framework of the virtual element method (VEM). Hilbert spaces enrich…
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…