Rotating bases for finite element exterior calculus: closed-form change of basis under vertex permutations

Santiago Badia, Jordi Manyer, Antoine Marteau

The geometrically decomposed bases of the polynomial differential form spaces ${\mathcal{P}}_r{\Lambda }^1$ and ${\mathcal{P}}_r^{-}{\Lambda }^1$ on a simplex are products of a barycentric scalar polynomi…