Superconvergence of linear functionals by discontinuous Galerkin approximations

Bernardo Cockburn, Drew Ichikawa

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

Abstract

We present a method for obtaining superconvergent approximations of linear functionals. We present an illustration of this idea in the framework of convection-diffusion equations. We use the approximation given by the discontinuous Galerkin method with polynomials of degree k. Instead of the classical order of convergence of 2k, we prove that we can obtain an approximation of order 4k. Numerical results that confirm this theoretical finding are presented.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages1087-1089
Number of pages3
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

  • Convection-diffusion equation
  • Discontinuous Galerkin methods
  • Finite element methods
  • Functionals
  • Post-processing
  • Superconvergence

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