A superconvergence result for discontinuous Galerkin methods applied to elliptic problems

Paul Castillo in Computer Methods in Applied Mechanics and Engineering vol. 192(41-42) by Elsevier BV at 2003
ISSNS: 0045-7825
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Abstract

This paper presents a theoretical and numerical study of a class of discontinuous Galerkin methods that shows the approximation of the gradient superconverges at the zeros of the Legendre polynomials on a model 1D elliptic problem. Numerical experiments validate the theoretical results.