The local discontinuous Galerkin method for the Oseen equations

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L 2- and negative-order norms, Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.

Original languageEnglish (US)
Pages (from-to)569-593
Number of pages25
JournalMathematics of Computation
Volume73
Issue number246
DOIs
StatePublished - Apr 2004

Keywords

  • Discontinuous Galerkin methods
  • Finite elements
  • Oseen equations

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