44 citations · 48 across the 6 of their papers we have counts for
6 papers
Virtual Elements on polyhedra with a curved face
Franco Brezzi, L. Donatella Marini
We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons…
Virtual Elements and curved edges
L. Beirao Da Veiga, F. Brezzi, L. D. Marini +1
We present a new method to construct Virtual Element spaces on polygons with curved edges.
A family of three-dimensional virtual elements with applications to magnetostatic
L. Beirão da Veiga, F. Brezzi, F. Dassi +2
We consider, as a simple model problem, the application of Virtual Element Methods (VEM) to the linear Magnetostatic three-dimensional problem in the formulation of F. Kikuchi. In…
Serendipity Virtual Elements on Polyhedral Meshes
Lourenco Beirao da Veiga, Franco Brezzi, Franco Dassi +2
We numerically validate the Virtual Element Method of order k for general second order elliptic problems with variable coefficients in three dimensions. Moreover, we investigate nu…
H(div) and H(curl)-conforming VEM
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
In the present paper we construct Virtual Element Spaces that are -conforming and -conforming on general polygonal and polyhedral elements; these s…
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini +2
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is div…