1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
An ultra-weak three-field finite element formulation for the biharmonic and extended Fisher--Kolmogorov equations
Rekha Khot, Bishnu P. Lamichhane, Ricardo Ruiz-Baier
This paper discusses a so-called ultra-weak three-field formulation of the biharmonic problem where the solution, its gradient, and an additional Lagrange multiplier are the three…
Improved -error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes
Bernardo Cockburn, Alexandre Ern, Rekha Khot
We present improved -error estimates on the time-integrated primal variable for the wave equation in its first-order formulation. The space discretization relies on a hybrid n…
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 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…
Hybrid high-order methods for elasto-acoustic wave propagation in the time domain
Romain Mottier, Alexandre Ern, Rekha Khot +1
We devise a Hybrid High-Order (HHO) method for the coupling between the acoustic and elastic wave equations in the time domain. A first-order formulation in time is considered. The…
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…
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…