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Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity

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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Official URL: http://dx.doi.org/10.1093/imanum/drt022

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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