Superconvergence of hp-discontinuous Galerkin methods for convection-diffusion problems

Fatih Celiker, Bernardo Cockburn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study some superconvergence properties of discontinuous Galerkin methods for convection-diffusion problems in one space dimension. We show that the nodal error converges with order 2p + 1 if polynomials of degree p are used. The theoretical results are verified by numerical experiments.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages140-141
Number of pages2
StatePublished - Dec 1 2005
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Publication series

Name3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period6/14/056/17/05

Keywords

  • Discontinuous galerkin methods
  • Postprocessing
  • Superconvergence

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