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

Detailed Description

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

$\sum_k A_ik \psi_k(F_s (\eta_o (\xi_j))) \cdot (J_F J_\eta t_j) = \phi_i (\xi_j) \dot t_j$ where
$\psi_k$ are the basis functions of the reference cell,
$\phi_i$ are the basis function of the subcell,
is the tangent on the reference subcell associated to dof j
is the Jacobian of the map from the reference subcell to the subcell s of the reference cell (s == subcellId),
is the Jacobian of the map ,
$\eta_o$ is the orientation map o associated to the subcell s (o == subcellOrt),
$J_{\eta}$ is the Jacobian of the map ,
$\xi_j$ are dof points of the subcell basis so that $\phi_i (\xi_j) \dot t_j = \delta_ij$