We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal (H1-conforming) elements, to a more general framework. Then we apply the general strategy to the case of H(div) and H(curl) conforming Virtual Element Methods, in two and three dimensions.
@article{arxiv.1606.01048,
title = {Serendipity Face and Edge VEM Spaces},
author = {L. Beirao da Veiga and F. Brezzi and L. D. Marini and A. Russo},
journal= {arXiv preprint arXiv:1606.01048},
year = {2016}
}