Technical Note: A note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes

Mark Ainsworth, Richard Rankin

Research output: Journal PublicationArticlepeer-review

13 Citations (Scopus)

Abstract

We obtain a computable lower bound on the value of the interior penalty parameters sufficient for the existence of a unique discontinuous Galerkin finite element approximation of a second order elliptic problem. The bound obtained is valid for meshes containing an arbitrary number of hanging nodes and elements of arbitrary nonuniform polynomial order.

Original languageEnglish
Pages (from-to)1099-1104
Number of pages6
JournalNumerical Methods for Partial Differential Equations
Volume28
Issue number3
DOIs
Publication statusPublished - May 2012
Externally publishedYes

Keywords

  • discontinuous Galerkin method
  • finite element
  • interior penalty method

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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