Optimal error estimate of discontinuous Galerkin methods for advection-diffusion-reaction problems with low regularity

In this paper, we present a class of discontinuous Galerkin finite element methods for advection-diffusion-reaction problems and establish a priori error estimates when the solution is only in H1+s (Omega) with s is an element of(0, 1/2].

Automated summary

In this paper, a class of discontinuous Galerkin finite element methods for advection-diffusion-reaction problems is presented, and a priori error estimates are established when the solution is only in H1+s (Omega) space with s is an element of(0, 1/2].