  We present a Scharfetter-Gummel (SG) stabilization scheme for high-order
Hybrid Discontinuous Galerkin (HDG) approximations of convection-diffusion
problems. The scheme is based on a careful choice of the stabilization
parameters used to define the numerical flux in the HDG method. We show that,
in one dimension, the SG-HDG scheme is equivalent to the Finite Volume method
stabilized with the Scharfetter--Gummel on the dual grid, for all orders of HDG
schemes.
