The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow

Eric Chung, Bernardo Cockburn, Guosheng Fu

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We show that the staggered discontinuous Galerkin (SDG) method (Kim et al. in SIAM J Numer Anal 51:3327–3350, 2013) for the Stokes system of incompressible fluid flow can be obtained from a new hybridizable discontinuous Galerkin (HDG) method by setting its stabilization function to zero at some suitably chosen element faces and by letting it go to infinity at all the remaining others. We then show that, as a consequence, the SDG method immediately acquires three new properties all inherited from this limiting HDG method, namely, its efficient implementation (by hybridization), its superconvergence properties, and its postprocessing of the velocity. In particular, the postprocessing of the velocity is H(div)-conforming, weakly divergence-free and converges with order k + 2 where k > 0 is the polynomial degree of the approximations.

Original languageEnglish (US)
Pages (from-to)870-887
Number of pages18
JournalJournal of Scientific Computing
Volume66
Issue number2
DOIs
StatePublished - Feb 1 2016

Keywords

  • Discontinuous Galerkin methods
  • Hybridization
  • Stokes flow

Fingerprint Dive into the research topics of 'The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow'. Together they form a unique fingerprint.

Cite this