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.

翻译：我们提出了一个用于高分混合不连续加勒金(HDG)对流扩散问题近似值的沙菲特-古姆梅尔(SG)稳定计划,该计划的基础是仔细选择用于确定高分流法中数字通量的稳定参数,我们表明,在一个方面,SG-HDG计划相当于在双网格上与Scharfetter-Gummmel(Sharfter-Gummml)相稳定的所有HDG计划订单中与Sharfefter-Gumml(Sharfter-Gumml)相稳定的芬特量方法。