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

journal contribution
posted on 2023-06-07, 21:21 authored by Erik Burman, Benjamin Stamm
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

History

Publication status

  • Published

Journal

Calcolo

ISSN

0008-0624

Publisher

Springer Verlag

Issue

2

Volume

48

Page range

189-209

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-02-11

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