  In this paper, we focus on analyzing the supercloseness property of a
two-dimensional singularly perturbed convection-diffusion problem with
exponential boundary layers. The local discontinuous Galerkin (LDG) method with
piecewise tensor-product polynomials of degree k is applied to Bakhvalov-type
mesh. By developing special two-dimensional local Gauss-Radau projections and
establishing a novel interpolation, supercloseness of an optimal order k+1 can
be achieved on Bakhvalov-type mesh. It is crucial to highlight that this
supercloseness result is independent of the singular perturbation parameter.
