3 citations · 6 across the 5 of their papers we have counts for
10 papers
Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation
Paola Francesca Antonietti, Giuseppe Vacca, Marco Verani
We consider the Virtual Element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the Virtual…
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method is well suited to the formulation of arbitrarily regular Galerkin approximations of elliptic partial differential equations of order , for any inte…
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri +2
In this paper, we review recent results on the conforming virtual element approximation of polyharmonic and elastodynamics problems. The structure and the content of this review is…
A diffuse interface box method for elliptic problems
G. Negrini, N. Parolini, M. Verani
We introduce a diffuse interface box method (DIBM) for the numerical approximation on complex geometries of elliptic problems with Dirichlet boundary conditions. We derive a priori…
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani +1
We present a stability analysis of the Discontinuous Galerkin method on polygonal and polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete inf-…
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
Paola Francesca Antonietti, Chiara Facciolà, Marco Verani
We present a numerical approximation of Darcy's flow through a porous medium that incorporates networks of fractures with non empty intersection. Our scheme employs PolyDG methods,…