62 citations · 210 across the 18 of their papers we have counts for
21 papers
Conforming/Non-conforming Virtual Elements and application to elasticity problems in curved three-dimensional domains
L. Beirão da Veiga, F. Dassi, A. Russo +1
The Virtual Element Method (VEM) is a well-established framework for solving partial differential equations on polygonal and polyhedral meshes. In this paper, we introduce a novel…
Quantitative study of the stabilization parameter in the virtual element method
Alessandro Russo, N. Sukumar
The choice of stabilization term is a critical component of the virtual element method (VEM). However, the theory of VEM provides only asymptotic guidance for selecting the stabili…
The nonconforming virtual element method with curved edges
Lourenco Beirão Da Veiga, Yi Liu, Lorenzo Mascotto +1
We introduce a nonconforming virtual element method for the Poisson equation on domains with curved boundary and internal interfaces. We prove arbitrary order optimal convergence i…
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.
Virtual Element Method on polyhedral meshes
Lourenco Beirão da Veiga, Franco Dassi, Alessandro Russo
The purpose of the present paper is to develop Virtual Elements in three dimensions for linear elliptic fourth order problems, motivated by the difficulties that standard con…
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…