Serendipity Face and Edge VEM Spaces
  We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal ($H^1$-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. 
L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo
math.NA