The staggered DG method is the limit of a hybridizable DG method

Eric Chung, Bernardo Cockburn, Guosheng Fu

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We show, in the framework of steady-state diffusion boundary-value problems, that the staggered discontinuous Galerkin (SDG) method [SIAM J. Numer. Anal., 47 (2009), pp. 3820- 3848] can be obtained from a hybridizable discontinuous Galerkin (HDG) method [SIAM J. Numer. Anal., 47 (2009), pp. 1319-1365] 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 this point of view allows the SDG method to immediately acquire new properties all inherited from the HDG methods, namely, their efficient implementation (by hybridization), their postprocessings, and their superconvergence properties.

Original languageEnglish (US)
Pages (from-to)915-932
Number of pages18
JournalSIAM Journal on Numerical Analysis
Volume52
Issue number2
DOIs
StatePublished - 2014

Keywords

  • Discontinuous Galerkin methods
  • Hybridization

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