Badia, S and Codina, R and Gudi, T and Guzman, J
(2014)
*Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity.*
In: IMA JOURNAL OF NUMERICAL ANALYSIS, 34
(2).
pp. 800-819.

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## Abstract

In this article, we analyse several discontinuous Galerkin (DG) methods for the Stokes problem under minimal regularity on the solution. We assume that the velocity u belongs to H-0(1)(Omega)](d) and the pressure p is an element of L-0(2)(Omega). First, we analyse standard DG methods assuming that the right-hand side f belongs to H-1(Omega) boolean AND L-1(Omega)](d). A DG method that is well defined for f belonging to H-1(Omega)](d) is then investigated. The methods under study include stabilized DG methods using equal-order spaces and inf-sup stable ones where the pressure space is one polynomial degree less than the velocity space.

Item Type: | Journal Article |
---|---|

Additional Information: | Copyright for this article belongs to the OXFORD UNIV PRESS, ENGLAND |

Keywords: | error estimates; finite element; discontinuous Galerkin; Stokes problems; stabilized methods |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Id for Latest eprints |

Date Deposited: | 03 Jun 2014 08:41 |

Last Modified: | 03 Jun 2014 08:41 |

URI: | http://eprints.iisc.ac.in/id/eprint/49135 |

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