A PRIORI DIFFUSION-UNIFORM ERROR ESTIMATES FOR SINGULARLY PERTURBED PROBLEMS: MIDPOINT-DG DISCRETIZATION

Abstract

We deal with a nonstationary semilinear singularly perturbed convection diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time.

We present diffusion uniform error estimates with sketches of proofs.

Keywords

• discontinuous galerkin method
• midpoint rule
• a priori analysis
• singularly perturbed problems