3 citations · 3 across the 2 of their papers we have counts for
9 papers
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…
Stability and interpolation properties for Stokes-like virtual element spaces
L. Beirão da Veiga, L. Mascotto, J. Meng
We prove stability bounds for Stokes-like virtual element spaces in two and three dimensions. Such bounds are also instrumental in deriving optimal interpolation estimates. Further…
The Stokes complex for Virtual Elements in three dimensions
L. Beirao da Veiga, F. Dassi, G. Vacca
The present paper has two objectives. On one side, we develop and test numerically divergence free Virtual Elements in three dimensions, for variable ``polynomial'' order. These ar…
The Stokes complex for Virtual Elements with application to Navier--Stokes flows
L. Beirão da Veiga, D. Mora, G. Vacca
In the present paper, we investigate the underlying Stokes complex structure of the Virtual Element Method for Stokes and Navier--Stokes introduced in previous papers by the same a…
The Virtual Element Method with curved edges
L. Beirão da Veiga, A. Russo, G. Vacca
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approxima…
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…