70 citations · 365 across the 38 of their papers we have counts for
5 papers · 2 filters
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…
Discontinuous in time Virtual Element method for Darcy equations coupled with Multi Species Transport with First Order Reaction Network
Ruben Caraballo, Franco Dassi
We study transport phenomena involving chemically reactive species, modeled by advection--diffusion--reaction systems coupled with flow fields governed by Darcy's law. Both the vel…
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…
Fully and semi-implicit robust space-time DG methods for the incompressible Navier-Stokes equations
L. Beirão da Veiga, F. Dassi, S. Gómez
We carry out a stability and convergence analysis of a fully discrete scheme for the time-dependent Navier-Stokes equations resulting from combining an -conform…