Superconvergence of the velocity along the Gauss lines in mixed finite element methods
SIAM Journal on Numerical Analysis
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
SIAM Journal on Numerical Analysis
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A general superconvergence of discontinuous Galerkin (DG) finite element method for the elliptic problem is established by using L^2-projection method. Regularity assumptions for the elliptic problem with regular partitions are required. Numerical experiments are given to verify the theoretical results.