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

Ainsworth, M. and Rankin, R. (2012) Technical note: a note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes. Numerical Methods for Partial Differential Equations, 28 (3). pp. 1099-1104. ISSN 0749-159X (https://doi.org/10.1002/num.20663)

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.

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• Item metadata

  Item type:	Article
  ID code:	40300
  Dates:	Date Event 2012 Published
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	02 Jul 2012 12:52
  Last modified:	11 Nov 2024 10:10
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/40300