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
Country/TerritoryUnited States
CityBoston, MA
Period6/14/056/17/05

Keywords

  • Discontinuous galerkin methods
  • Postprocessing
  • Superconvergence

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