3 papers
math.NA2022
Interpolation and stability estimates for edge and face virtual elements of general order
Lourenço Beirão da Veiga, Lorenzo Mascotto, Jian Meng
We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the sta…
math.NA2021
Virtual elements for Maxwell's equations
L. Beirão da Veiga, F. Dassi, G. Manzini +1
We present a low order virtual element discretization for time dependent Maxwell's equations, which allow for the use of general polyhedral meshes. Both the semi- and fully-discret…
math.NA2020
p- and hp- virtual elements for the Stokes problem
Alexey Chernov, Carlo Marcati, Lorenzo Mascotto
We analyse the p- and hp-versions of the virtual element method (VEM) for the the Stokes problem on a polygonal domain. The key tool in the analysis is the existence of a bijection…