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Bubble stabilized discontinuous Galerkin method for stokes' problem

journal contribution
posted on 2023-06-07, 21:53 authored by Erik Burman, Benjamin Stamm
We propose a low order discontinuous Galerkin method for incompressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space elementwise with a non-conforming quadratic bubble. Several possible pressure spaces that lead to uniformly stable velocity pressure pairs are proposed. We prove optimal convergence estimates and local conservation of both mass and linear momentum independent of numerical parameters.

History

Publication status

  • Published

Journal

Mathematical Models and Methods in Applied Sciences

ISSN

02182025

Issue

2

Volume

20

Page range

297-313

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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