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

M. Ainsworth, R. Rankin

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12 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2012


  • approximation
  • discontinuous Galerkin method
  • finite element
  • hanging nodes
  • meshes
  • error bounds
  • advection-diffusion equations
  • interior penalty method

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