  In this paper, we present an embedded staggered discontinuous Galerkin method
for the convection-diffusion equation. The new method combines the advantages
of staggered discontinuous Galerkin (SDG) and embedded discontinuous Galerkin
(EDG) method, and results in many good properties, namely local and global
conservations, free of carefully designed stabilization terms or flux
conditions and high computational efficiency. In applying the new method to
convection-dominated problems, the method provides optimal convergence in
potential and suboptimal convergence in flux, which is comparable to other
existing DG methods, and achieves $L^2$ stability by making use of a
skew-symmetric discretization of the convection term, irrespective of
diffusivity. We will present numerical results to show the performance of the
method.
