The derivation of hybridizable discontinuous Galerkin methods for Stokes flow

Bernardo Cockburn, Jayadeep Gopalakrishnan

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

In this paper, we introduce a new class of discontinuous Galerkin methods for the Stokes equations. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to certain approximations on the element boundaries. We present four ways of hybridizing the methods, which differ by the choice of the globally coupled unknowns. Classical methods for the Stokes equations can be thought of as limiting cases of these new methods.

Original languageEnglish (US)
Pages (from-to)1092-1125
Number of pages34
JournalSIAM Journal on Numerical Analysis
Volume47
Issue number2
DOIs
StatePublished - Dec 1 2009

Keywords

  • Discontinuous Galerkin methods
  • Hybridized methods
  • Lagrange multipliers
  • Mixed methods
  • Stokes equations

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