Unified analysis of discontinuous Galerkin methods for elliptic problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini

Research output: Contribution to journalArticlepeer-review

1996 Scopus citations

Abstract

We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

Original languageEnglish (US)
Pages (from-to)1749-1779
Number of pages31
JournalSIAM Journal on Numerical Analysis
Volume39
Issue number5
DOIs
StatePublished - 2001

Keywords

  • Discontinuous Galerkin
  • Elliptic problems
  • Interior penalty

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