62 citations · 210 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Basic principles of hp Virtual Elements on quasiuniform meshes
L. Beirão da Veiga, A. Chernov, L. Mascotto +1
In the present paper we initiate the study of Virtual Elements. We focus on the case with uniform polynomial degree across the mesh and derive theoretical convergence estimate…
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…
A Plane Wave Virtual Element Method for the Helmholtz Problem
Ilaria Perugia, Paola Pietra, Alessandro Russo
We introduce and analyze a virtual element method (VEM) for the Helmholtz problem with approximating spaces made of products of low order VEM functions and plane waves. We restrict…