39 citations · 104 across the 28 of their papers we have counts for
5 papers · 1 filter
The - and -versions of the virtual element method for elliptic eigenvalue problems
O. Certik, F. Gardini, G. Manzini +2
We discuss the - and the -versions of the virtual element method for the approximation of eigenpairs of elliptic operators with a potential term on polygonal meshes. An appl…
Bricks for the mixed high-order virtual element method: projectors and differential operators
Franco Dassi, Giuseppe Vacca
We present the essential instruments to deal with Virtual Element Method (VEM) for the resolution of partial differential equations in mixed form. Functional spaces, degrees of fre…
The Stokes complex for Virtual Elements with application to Navier--Stokes flows
L. Beirão da Veiga, D. Mora, G. Vacca
In the present paper, we investigate the underlying Stokes complex structure of the Virtual Element Method for Stokes and Navier--Stokes introduced in previous papers by the same a…
The virtual element method for eigenvalue problems with potential terms on polytopal meshes
Ondrej Certik, Francesca Gardini, Gianmarco Manzini +1
We extend the conforming virtual element method to the numerical resolution of eigenvalue problems with potential terms on a polytopal mesh. An important application is that of the…
The nonconforming virtual element method for eigenvalue problems
Francesca Gardini, Gianmarco Manzini, Giuseppe Vacca
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the tw…