Superconvergence for discontinuous Galerkin finite element methods by L2-projection methods

  • Authors:
  • Rabeea Jari;Lin Mu;Anna Harris;Lynn Fox

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2013

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Abstract

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.