Superconvergence for Diffusion Reaction Equation by weak galerkin finite element method

In this thesis, we apply stabilizer free weak Galerkin finite element method using linear base func- tions to achieve superconvergence of order four for L2 norm and superconvergence of order three for energy norm for Diffusion-Reaction equations. We carefully discuss the scheme, and provided numerical experiment results as validation for the desired convergence rate.