Superconvergence of a modified weak Galerkin approximation for second order elliptic problems by [formula omitted] projection method.

Abstract This paper derives a superconvergence result for the modified weak Galerkin (MWG) finite element method of the second order elliptic problem. The convergence rate of the MWG approximation is improved by 30% after applying a low cost L 2 projection post-processing technique. These superconvergence phenomena are proved theoretically and confirmed numerically. [ABSTRACT FROM AUTHOR]