62 citations · 106 across the 6 of their papers we have counts for
6 papers
A Virtual Element Method on polyhedra with curved faces
Daniele Prada, Franco Brezzi, L. Donatella Marini
In this paper we construct conforming Virtual Element approximations on domains with curved boundary and/or internal curved interfaces, both in two and three dimensions. Our approa…
Lowest order Virtual Element approximation of magnetostatic problems
L. Beirão da Veiga, F. Brezzi, F. Dassi +2
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and show its use for the numerical solution of linear magneto-static problems in thre…
Serendipity Face and Edge VEM Spaces
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal (-conforming) elements, to a more general framework. Then we app…
Serendipity Nodal VEM spaces
L. Beirao da Veiga, F. Brezzi, L. D. Marini +1
We introduce a new variant of Nodal Virtual Element spaces that mimics the "Serendipity Finite Element Methods" (whose most popular example is the 8-node quadrilateral) and allows…
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…
Virtual Element Methods for general second order elliptic problems on polygonal meshes
L. Beirão da Veiga, F. Brezzi, L. D. Marini +1
We consider the discretization of a boundary value problem for a general linear second-order elliptic operator with smooth coefficients using the Virtual Element approach. As in [5…