论文标题
用于对流扩散问题的HDG近似近似值的Scharfetter-Gummerl稳定方案
A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems
论文作者
论文摘要
我们提出了一种用于对流 - 扩散问题的高阶混合不连续的盖尔金（HDG）近似值的scharfetter-gummel（SG）稳定方案。该方案基于仔细选择用于定义HDG方法中数值通量的稳定参数。我们表明，在一个维度上，SG-HDG方案等同于用scharfetter稳定的有限体积方法 - 在双重网格上，对于所有HDG方案的订单。
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.
