A posteriori error estimation for a new stabilized discontinuous Galerkin method

A. Romkes*, Serge Prudhomme, J. T. Oden

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.

Original languageEnglish (US)
Pages (from-to)447-452
Number of pages6
JournalApplied Mathematics Letters
Volume16
Issue number4
DOIs
StatePublished - May 1 2003

Keywords

  • Discontinuous Galerkin method
  • Global error estimates
  • Residual method

ASJC Scopus subject areas

  • Applied Mathematics

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