An a priori error estimate for a monotone mixed finite-element discretization of a convection-diffusion problem

We present a local exponential fitting hybridized mixed finiteelement method for convection-diffusion problem on a bounded domain with mixed Dirichlet Neuman boundary conditions. With a new technique that interpretes the algebraic system after static condensation as a bilinear form acting on certain lifting operators we prove an a priori error estimate on the Lagrange multipliers that requires minimal regularity.