20 citations · 35 across the 5 of their papers we have counts for
7 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…
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…
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…
Stability analysis for a new model of multispecies convection-diffusion-reaction in poroelastic tissue
Luis Miguel de Oliveira Vilaca, Bryan Gomez-Vargas, Sarvesh Kumar +2
We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total…
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora +2
A virtual element discretisation for the numerical approximation of the three-field formulation of linear poroelasticity introduced in [R. Oyarzúa and R. Ruiz-Baier, Locking-free f…
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Nitesh Verma, Bryan Gomez-Vargas, Luis Miguel De Oliveira Vilaca +2
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and…
Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media
S. Kumar, R. Ruiz Baier, R. Sandilya
We introduce a family of hybrid discretisations for the numerical approximation of optimal control problems governed by the equations of immiscible displacement in porous media. Th…