L2L2 error estimation for DGFEM for elliptic problems with low regularity

This paper presents an error estimate in the L2L2-norm for the discontinuous Galerkin finite element methods (DGFEM) for elliptic problems with low regularity solutions. The Raviart–Thomas interpolation operator is employed to derive the new result, which complements the mesh-dependent energy norm error estimates in Gudi (2010) [2]. Numerical results corroborate the theoretical analysis.