Creation of orientation matrix A of a face or edge for HGRAD elements. More...

Detailed Description

Creation of orientation matrix A of a face or edge for HGRAD elements.

$\sum_k A_ik \psi_k(F_s (\eta_o (\xi_j))) = \phi_i (\xi_j)$ where
$\psi_k$ are the basis functions of the reference cell ,
$\phi_i$ are the basis function of the subcell
is the map from the reference subcell to the subcell s of the reference cell (s == subcellId)
$\eta_o$ is the orientation map o associated to the subcell s (o == subcellOrt)
$\xi_j$ are points in the reference subcell. We take them to be the dof points of the subcell basis so that $\phi_i (\xi_j) = \delta_ij$