Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes

Burman, Erik and Stamm, Benjamin (2011) Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. Calcolo, 48 (2). pp. 189-209. ISSN 0008-0624

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Abstract

The aim of this paper is to discuss the properties of the bubble stabilized discontinuous Galerkin method with respect to mesh geometry. First we show that on certain non-conforming meshes the bubble stabilized discontinuous Galerkin method allows for hanging nodes/edges. Then we consider the case of conforming meshes and present a post-processing algorithm based on the Crouzeix-Raviart method to obtain the Bubble Stabilized Discontinuous Galerkin (BSDG) method. Although finally the post-processed solution does not coincide with the BSDG-solution in general, they satisfy the same (approximation) properties and are close to each other. Moreover, the post-processed solution has continuous flux over the edges

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 11 Feb 2013 08:57
Last Modified: 11 Feb 2013 08:57
URI: http://sro.sussex.ac.uk/id/eprint/18323
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