  In this paper, we present a flux-based formulation of the hybridizable
discontinuous Galerkin (HDG) method for steady-state diffusion problems and
propose a new method derived by letting a stabilization parameter tend to
infinity. Assuming an inf-sup condition, we prove its well-posedness and error
estimates of optimal order. We show that the inf-sup condition is satisfied by
some triangular elements. Numerical results are also provided to support our
theoretical results.
