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Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions

Barrenechea, GR; Bosy, M; Dolean, V; (2020) Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions. In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. (pp. pp. 179-189). Springer Nature Green open access

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Abstract

In several studies it has been observed that, when using stabilised ℙk × ℙk elements for both velocity and pressure, the error for the pressure is smaller, or even of a higher order in some cases, than the one obtained when using inf-sup stable ℙk ×ℙ_{k−1} (although no formal proof of either of these facts has been given). This increase in polynomial order requires the introduction of stabilising terms, since the finite element pairs used do not guarantee the inf-sup condition. With this motivation, we apply the stabilisation approach to the hybrid discontinuous Galerkin discretisation for the Stokes problem with non-standard boundary conditions.

Type: Proceedings paper
Title: Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions
Event: ICOSAHOM Conference 2018
ISBN-13: 978-3-030-39646-6
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-3-030-39647-3_13
Publisher version: https://doi.org/10.1007/978-3-030-39647-3_13
Language: English
Additional information: © The Author(s) 2020. This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10080991
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