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

Detailed Description

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

$\sum_k A_ik \psi_k(F_s (\eta_o (\xi_j))) \cdot (n_s det(J_\eta)) = \phi_i (\xi_j)$ , where
$\psi_k$ are the basis functions of the reference cell,
$\phi_i$ are the basis function of the subcell,
is the side normal of subcell s (s == subcellId)
is the Jacobian of 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),
$J_{\eta}$ is the Jacobian of the map $\eta_o$ ,
$\xi_j$ are points in the reference subcell such that subcell bases are uniquely determined by the values they take on these points.