20 citations · 80 across the 33 of their papers we have counts for
3 papers · 1 filter
The Virtual Element Method for a Minimal Surface Problem
Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada +1
In this paper we consider the Virtual Element discretization of a minimal surface problem, a quasi-linear elliptic partial differential equation modeling the problem of minimizing…
The virtual element method for linear elastodynamics models. Convergence, stability and dissipation-dispersion analysis
P. F. Antonietti, G. Manzini, I. Mazzieri +2
We design the conforming virtual element method for the numerical approximation of the two dimensional elastodynamics problem. We prove stability and convergence of the semi-discre…
A posteriori error estimates for the monodomain model in cardiac electrophysiology
Luca Ratti, Marco Verani
We consider the monodomain model, a system of a parabolic semilinear reaction-diffusion equation coupled with a nonlinear ordinary differential equation, arising from the (simplifi…