37 citations · 125 across the 22 of their papers we have counts for
4 papers · 1 filter
Divergence free Virtual Elements for the Stokes problem on polygonal meshes
L. Beirao da Veiga, C. Lovadina, G. Vacca
In the present paper we develop a new family of Virtual Elements for the Stokes problem on polygonal meshes. By a proper choice of the Virtual space of velocities and the associate…
Mixed Virtual Element Methods for general second order elliptic problems on polygonal meshes
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
In the present paper we introduce a Virtual Element Method (VEM) for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable…
Mimetic Finite Difference methods for Hamiltonian wave equations in 2D
Lourenco Beirao da Veiga, Luciano Lopez, Giuseppe Vacca
In this paper we consider the numerical solution of the Hamiltonian wave equation in two spatial dimension. We use the Mimetic Finite Difference (MFD) method to approximate the con…
A virtual element method for the Cahn-Hilliard equation with polygonal meshes
Paola F. Antonietti, Lourenco Beirao da Veiga, Simone Scacchi +1
In this paper we develop an evolution of the virtual elements of minimal degree for the approximation of the Cahn-Hilliard equation. The proposed method has the advantage of…