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

Official URL: http://dx.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.

Item type: | Article |
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ID code: | 40300 |

Keywords: | approximation, discontinuous Galerkin method, finite element, hanging nodes, meshes, error bounds, advection-diffusion equations, interior penalty method, Probabilities. Mathematical statistics, Computational Mathematics, Analysis, Applied Mathematics, Numerical Analysis |

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: | 05 Jan 2016 13:07 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/40300 |

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