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-discrete schemes are considered. We derive optimal a priori estimates and validate them on a set of numerical experiments. As pivot results, we discuss some novel inequalities for de Rahm sequences of nodal, edge, and face virtual element spaces.
@article{arxiv.2102.00950,
title = {Virtual elements for Maxwell's equations},
author = {L. Beirão da Veiga and F. Dassi and G. Manzini and L. Mascotto},
journal= {arXiv preprint arXiv:2102.00950},
year = {2021}
}